1PAGE 1 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND * * * * * S O U R C E L I S T I N G * * * * * 0001 TITLE HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION 0002 * EULER 0003 * DOC 0004 * CHECK 0005 NOTE 0006 NOTE MACRO PART OF MODEL 0007 NOTE 0008 C PI=3.14159 CONSTANT PI PI - CONSTANT PI 0009 NOTE 0010 NOTE VARIABLE SET UP TO KEEP TIME 0011 NOTE 0012 A A1TIME.K=TIME.K TIME FOR 1ST 24 HOURS HOURS A1TIME - TIME FOR 1ST 24 HOURS HOURS 0013 A A2TIME.K=TIME.K-24 TIME FOR 2ND 24 HOURS HOURS A2TIME - TIME FOR 2ND 24 HOURS HOURS 0014 A ATIME.K=CLIP(A2TIME.K,A1TIME.K,TIME.K,24) TIME USED IN ANALYSIS HOURS ATIME - TIME USED IN ANALYSIS A2TIME - TIME FOR 2ND 24 HOURS HOURS A1TIME - TIME FOR 1ST 24 HOURS HOURS 0015 NOTE 0016 NOTE 0017 NOTE 0018 NOTE USER SPECIFIED INPUT 0019 NOTE 0020 NOTE GENERAL INPUT -- LOCATION,WEATHER DATA,DAY 0021 NOTE 0022 C DTK=.7 TIME STEP OF THE SIMULATION (DT ON SPEC) HOURS DTK - TIME STEP OF THE SIMULATION (DT ON SPEC) HOURS 0023 C DAY=195 DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14 DAY - DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14 0024 C BAROP=29.21 BAROMETRIC PRESSURE INCHES OF MERCURY BAROP - BAROMETRIC PRESSURE INCHES OF MERCURY 0025 C LATTUD=.72 LATTUD OF LOCATION RADIANS(DEGREES*PI/180) LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180) 0026 C ROTATN=0.0 ROTATN OF N-S FROM NORMAL RADIANS ROTATN - ROTATN OF N-S FROM NORMAL RADIANS 1PAGE 2 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND 0027 C TILT=0.0 TILT TAKEN FROM THE NORMAL RADIANS TILT - TILT TAKEN FROM THE NORMAL RADIANS 0028 C QMAX=270 MAX ENERGY FROM SUN ON GIVEN DAY BTU/HR/FT**2 QMAX - MAX ENERGY FROM SUN ON GIVEN DAY BTU/HR/FT**2 0029 C WINDI=10560 INSIDE AVERAGE WIND VELOCITY FPH (MPH*5280) WINDI - INSIDE AVERAGE WIND VELOCITY FPH (MPH*5280) 0030 C WINDO=52800 OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280) WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280 0031 C LENGTH=30 EITHER HIGHT OF SURFACE OR DISTANCE IN WIND[FEET LENGTH - EITHER HIGHT OF SURFACE OR DISTANCE IN WIND[FEET 0032 C EPSLON=.91 EMMISSIVITY FACTOR UNITLESS EPSLON - EMMISSIVITY FACTOR UNITLESS 0033 T TTOUT=527,526,533,539,546,553,551,545 OUTSIDE TEMP PROFILE[RANKINE TTOUT - OUTSIDE TEMP PROFILE[RA 0034 T TTIN=528,528,528,528 INSIDE TEMP PROFILE RANKINE TTIN - INSIDE TEMP PROFILE RANKINE 0035 NOTE 0036 NOTE SUN'S ANGLE CALCULATIONS 0037 NOTE 0038 A DEC.K=TABFL(TDCL,DAY,0,365) DECLINATION ANGLE DEGREES DEC - DECLINATION ANGLE DEGREES TDCL - NO DEFINITION PROVIDED DAY - DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14 0039 A DECL.K=DEC.K/180*PI DECLINATION ANGLE RADIANS DECL - DECLINATION ANGLE RADIANS DEC - DECLINATION ANGLE DEGREES PI - CONSTANT PI 0040 A HOUR.K=PI/180*ABS(90*(12-ATIME.K)/6) HOUR ANGLE RADIANS HOUR - HOUR ANGLE RADIANS PI - CONSTANT PI ATIME - TIME USED IN ANALYSIS 0041 A BET.K=(COS(LATTUD)*COS(HOUR.K)*COS(DECL.K)+SIN(LATTUD)* X SIN(DECL.K)) BET - IS THE ANGLE WHOS ARCCOS IS BETA 1PAGE 3 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180) HOUR - HOUR ANGLE RADIANS DECL - DECLINATION ANGLE RADIANS LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180) DECL - DECLINATION ANGLE RADIANS 0042 DEF BET IS THE ANGLE WHOS ARCCOS IS BETA 0043 A BETA.K=TABFL(ARCSIN,BET.K,-1,1) BETA,LATTUD ANGLE RADIANS BETA - BETA,LATTUD ANGLE RADIANS ARCSIN - NO DEFINITION PROVIDED BET - IS THE ANGLE WHOS ARCCOS IS BETA 0044 A GAM.K=(1/COS(BETA.K))*((COS(LATTUD)*SIN(DECL.K))-COS(DECL.K)* X SIN(LATTUD)*COS(HOUR.K)) GAM - IS THE ANGLE WHOS ARCSIN SIN IS GAMMA BETA - BETA,LATTUD ANGLE RADIANS LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180) DECL - DECLINATION ANGLE RADIANS DECL - DECLINATION ANGLE RADIANS LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180) HOUR - HOUR ANGLE RADIANS 0045 DEF GAM IS THE ANGLE WHOS ARCSIN SIN IS GAMMA 0046 A GAMM1.K=TABFL(ARCCOS,GAM.K,-1,1) GAMMA ANGLE FOR THE WEST PLANE[RADIANS GAMM1 - GAMMA ANGLE FOR THE WEST PLANE[RA ARCCOS - NO DEFINITION PROVIDED GAM - IS THE ANGLE WHOS ARCSIN SIN IS GAMMA 0047 A GAMM2.K=PI*2-GAMM1.K GAMMA ANGLE FOR THE EAST PLANE[RADIANS GAMM2 - GAMMA ANGLE FOR THE EAST PLANE[RADIANS PI - CONSTANT PI GAMM1 - GAMMA ANGLE FOR THE WEST PLANE[RA 0048 A GAMMA.K=CLIP(GAMM2.K,GAMM1.K,ATIME.K,12) SELECT GAMMA,AZIMUTH ANGLE[RADIANS GAMMA - SELECT GAMMA,AZIMUTH ANGLE[RA GAMM2 - GAMMA ANGLE FOR THE EAST PLANE[RADIANS GAMM1 - GAMMA ANGLE FOR THE WEST PLANE[RA ATIME - TIME USED IN ANALYSIS 0049 A ALPH1.K=ABS(GAMMA.K-ROTATN) ANGLE OF INCIDENCE IN NS PLANE[RADIANS ALPH1 - ANGLE OF INCIDENCE IN NS PLANE[RADI GAMMA - SELECT GAMMA,AZIMUTH ANGLE[RA ROTATN - ROTATN OF N-S FROM NORMAL RADIANS 0050 A ALPH2.K=ABS(2*PI-ALPH1.K) POSSIBLE ANGLE OF INCIDENCE RADIANS ALPH2 - POSSIBLE ANGLE OF INCIDENCE RADIANS PI - CONSTANT PI ALPH1 - ANGLE OF INCIDENCE IN NS PLANE[RADI 0051 A ALPHA.K=CLIP(ALPH2.K,ALPH1.K,ALPH1.K,ALPH2.K) ANGLE OF INCIDENCE[RADIANS 1PAGE 4 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND ALPHA - ANGLE OF INCIDENCE[RADI ALPH2 - POSSIBLE ANGLE OF INCIDENCE RADIANS ALPH1 - ANGLE OF INCIDENCE IN NS PLANE[RADI ALPH1 - ANGLE OF INCIDENCE IN NS PLANE[RADI ALPH2 - POSSIBLE ANGLE OF INCIDENCE RADIANS 0052 A TOTAL.K=ABS(SIN(1.57-ALPHA.K)*SIN(1.57-BETA.K-TILT))*TEST1.K*TEST2.K X +ABS(SIN(1.57-BETA.K-TILT))*TEST3.K TOTAL - ACTUAL AMOUNT OF AREA OF SURFACE PROJECTED NORMAL TO SUN'S RAY ALPHA - ANGLE OF INCIDENCE[RADI BETA - BETA,LATTUD ANGLE RADIANS TILT - TILT TAKEN FROM THE NORMAL RADIANS TEST1 - IS SURFACE HORIZONTAL YES=0 TEST2 - IS ANGLE OF INCIDENCE > PI/2 YES= BETA - BETA,LATTUD ANGLE RADIANS TILT - TILT TAKEN FROM THE NORMAL RADIANS TEST3 - IS SURFACE HORIZONTAL YES=1 0053 DEF TOTAL ACTUAL AMOUNT OF AREA OF SURFACE PROJECTED NORMAL TO SUN'S RAY 0054 A TEST1.K=CLIP(0,1,TILT,1.57) IS SURFACE HORIZONTAL YES=0 TEST1 - IS SURFACE HORIZONTAL YES=0 TILT - TILT TAKEN FROM THE NORMAL RADIANS 0055 A TEST2.K=CLIP(0,1,ALPHA.K,1.57) IS ANGLE OF INCIDENCE > PI/2 YES=0 TEST2 - IS ANGLE OF INCIDENCE > PI/2 YES= ALPHA - ANGLE OF INCIDENCE[RADI 0056 A TEST3.K=CLIP(1,0,TILT,1.57) IS SURFACE HORIZONTAL YES=1 TEST3 - IS SURFACE HORIZONTAL YES=1 TILT - TILT TAKEN FROM THE NORMAL RADIANS 0057 A QSUNT.K=QSOLAR.K*TOTAL.K ENEGRY FROM SUN AFFECTING SURFACE[BTU/HR/FT**2 QSUNT - ENEGRY FROM SUN AFFECTING SURFACE[BTU/H QSOLAR - SOLAR ENERGY PROFILE DURING THE STUDY DAY BTU/HR/FT**2 TOTAL - ACTUAL AMOUNT OF AREA OF SURFACE PROJECTED NORMAL TO SUN'S RAY 0058 A QSUN.K=SWITCH(QSUNT.K,0,QSUNT.K) IS SUN UP YET NO=0 QSUN - IS SUN UP YET NO=0 QSUNT - ENEGRY FROM SUN AFFECTING SURFACE[BTU/H QSUNT - ENEGRY FROM SUN AFFECTING SURFACE[BTU/H 0059 A ANGLE.K=(-SIN(LATTUD)/COS(LATTUD)*SIN(DECL.K)/COS(DECL.K)) ANGLE - PORTION OR MORNING AND NIGHT NIGHT LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180) LATTUD - LATTUD OF LOCATION RADIANS(DEGREES*PI/180) DECL - DECLINATION ANGLE RADIANS DECL - DECLINATION ANGLE RADIANS 0060 DEF ANGLE PORTION OR MORNING AND NIGHT NIGHT 1PAGE 5 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND 0061 A ANGLES.K=TABFL(ARCCOS,ANGLE.K,-1,1) ARCCOS OF ANGLE ANGLES - ARCCOS OF ANGLE ARCCOS - NO DEFINITION PROVIDED ANGLE - PORTION OR MORNING AND NIGHT NIGHT 0062 A MORNG.K=12-ANGLES.K*180/15/PI TIME OF MORNG MORNG - TIME OF MORNG ANGLES - ARCCOS OF ANGLE PI - CONSTANT PI 0063 A NIGHT.K=12+ANGLES.K*180/15/PI TIME OF NIGHT NIGHT - TIME OF NIGHT ANGLES - ARCCOS OF ANGLE PI - CONSTANT PI 0064 A QSOLAR.K=QMAX*SIN(PI*(ATIME.K/(NIGHT.K-MORNG.K)-MORNG.K/ X (NIGHT.K-MORNG.K))) QSOLAR - SOLAR ENERGY PROFILE DURING THE STUDY DAY BTU/HR/FT**2 QMAX - MAX ENERGY FROM SUN ON GIVEN DAY BTU/HR/FT**2 PI - CONSTANT PI ATIME - TIME USED IN ANALYSIS NIGHT - TIME OF NIGHT MORNG - TIME OF MORNG MORNG - TIME OF MORNG NIGHT - TIME OF NIGHT MORNG - TIME OF MORNG 0065 DEF QSOLAR SOLAR ENERGY PROFILE DURING THE STUDY DAY BTU/HR/FT**2 0066 NOTE 0067 NOTE EXPAND FUNCTION FOR THE CALCULATION OF HEAT TRANSFER COEFFIENTS 0068 NOTE 0069 MACRO HTC(H,P,K,W,L,R,M,T,C) 0070 A P.K=TABFL(TPR,T.K,410,610) PRANDTL NUMBER UNITLESS 0071 A M.K=TABFL(TMU,T.K,410,610) (MU) FOR AIR LBM/HR/FT 0072 A K.K=TABFL(TK,T.K,410,610) THERMAL CONDUCTIVITY BTU/HR/FT/F 0073 A C.K=BAROP*14.696/(53.35*T.K*29.92)*144 DENSITY LBM/FT**3 0074 A R.K=W*L*C.K/M.K RENOLD'S NUMBER UNITLESS 0075 A H.K=P.K**.333*(ABS(.036*R.K**.8))*K.K/L HEAT TRANSFER COEFFIENT 0076 MEND 0077 NOTE 0078 NOTE CALCULATIONS FOR BOTH THE INSIDE AND OUTSIDE SURFACES NEED BE 0079 NOTE MADE 0080 NOTE 0081 EXPND HTC(HI,CPI,KI,WINDI,LENGTH,RI,MI,TOUT,CI) 0082+ A CPI.K=TABFL(TPR,TOUT.K,410,610) PRANDTL NUMBER UNITLESS 0083+ A MI.K=TABFL(TMU,TOUT.K,410,610) (MU) FOR AIR LBM/HR/FT 0084+ A KI.K=TABFL(TK,TOUT.K,410,610) THERMAL CONDUCTIVITY BTU/HR/FT 0085+ A CI.K=BAROP*14.696/(53.35*TOUT.K*29.92)*144 DENSITY LBM/FT**3 0086+ A RI.K=WINDI*LENGTH*CI.K/MI.K RENOLD'S NUMBER UNITLESS 0087+ A HI.K=CPI.K**.333*(ABS(.036*RI.K**.8))*KI.K/LENGTH HEAT TRANSFER COEFFI 0088+ MEND 0089 DEF HI INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F 0090 DEF HO OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F 1PAGE 6 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND 0091 EXPND HTC(HO,PO,KO,WINDO,LENGTH,RO,MO,TOUT,CO) 0092+ A PO.K=TABFL(TPR,TOUT.K,410,610) PRANDTL NUMBER UNITLESS 0093+ A MO.K=TABFL(TMU,TOUT.K,410,610) (MU) FOR AIR LBM/HR/FT 0094+ A KO.K=TABFL(TK,TOUT.K,410,610) THERMAL CONDUCTIVITY BTU/HR/FT 0095+ A CO.K=BAROP*14.696/(53.35*TOUT.K*29.92)*144 DENSITY LBM/FT**3 0096+ A RO.K=WINDO*LENGTH*CO.K/MO.K RENOLD'S NUMBER UNITLESS 0097+ A HO.K=PO.K**.333*(ABS(.036*RO.K**.8))*KO.K/LENGTH HEAT TRANSFER COEFFIE 0098+ MEND 0099 NOTE INSIDE AND OUTSIDE TEMPERATURE CALCULATIONS 0100 NOTE 0101 A TOUT.K=TABFL(TTOUT,ATIME.K,0,24) OUTSIDE TEMPERATURE RANKINE TOUT - OUTSIDE TEMPERATURE RANKINE TTOUT - OUTSIDE TEMP PROFILE[RA ATIME - TIME USED IN ANALYSIS 0102 A TIN.K=TABFL(TTIN,ATIME.K,0,24) INSIDE TEMPERATURE RANKINE TIN - INSIDE TEMPERATURE RANKINE TTIN - INSIDE TEMP PROFILE RANKINE ATIME - TIME USED IN ANALYSIS 0103 NOTE 0104 NOTE EXPAND FUNCTIONS FOR THE TEMPERATURE CALCULATIONS 0105 NOTE 0106 MACRO EXTROR(STEP,T,TT,TT1) 0107 A T1.K=(A1*DTK/STEP**2)*(2*HO.K*STEP/K1*TOUT.K+2*TT1.K+ X (-2*HO.K*STEP/K1-2+STEP**2/(A1*DTK))*TT.K) 0108 A T.K=T1.K+2*QSUN.K/K1*A1*DTK/STEP*EPSLON 0109 N TT=505 INITIAL NODE TEMPERATURE RANKINE 0110 R RATE1.KL=T.K-TT.K 0111 L TT.K=INTGRL(RATE1.JK) 0112 MEND 0113 NOTE 0114 MACRO INTROR(T,TT,CA,CK,TM1,STEP,RATE) 0115 A T.K=(CA*DTK/STEP**2)*(2*HI.K*STEP/CK*TIN.K+2*TM1.K+(-2*HI.K*STEP/ X CK-2+STEP**2/(CA*DTK))*TT.K) 0116 N TT=505 0117 R RATE.KL=T.K-TT.K 0118 L TT.K=INTGRL(RATE.JK) 0119 MEND 0120 NOTE 0121 NOTE 0122 MACRO SECTN(T,TT,CA,CK,TM1,TP1,STEP,RATE) 0123 A T.K=(CA*DTK/STEP**2)*(TP1.K+TM1.K)+(1-2*CA*DTK/STEP**2)* X TT.K 0124 N TT=505 0125 R RATE.KL=T.K-TT.K 0126 L TT.K=INTGRL(RATE.JK) 0127 MEND 0128 NOTE 0129 NOTE 0130 MACRO INTRSC(T,TT,T1,T2,CA1,CA2,CK1,CK2,STEP,RATE) 0131 A T.K=TT.K+(CK1/STEP*TT.K+CK2/STEP*T1.K-(CK1/STEP+CK2/STEP)*T2.K)/ X (CK1/CA1+CK2/CA2)*STEP/2/DTK 0132 N TT=505 0133 R RATE.KL=T.K-TT.K 1PAGE 7 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND 0134 L TT.K=INTGRL(RATE.JK) 0135 MEND 0136 NOTE 0137 NOTE 0138 MACRO QFIND(T1,QI,QSUM) 0139 A QI.K=(T1.K-TIN.K)*HI.K 0140 N QSUM=0 0141 A OUT.K=SWITCH(1,0,A2TIME.K) 0142 R QR.KL=QI.K*DTK*OUT.K 0143 L QSUM.K=INTGRL(QR.JK) 0144 MEND 0145 T TMU=.0358,.0394,.0459,.0484 TMU - NO DEFINITION PROVIDED 0146 T TK=.0118,.0131,.0157,.0167 TK - NO DEFINITION PROVIDED 0147 T TCP=.239,.240,.240,.240 $ 1) ***** W A R N I N G ***** ND0588 TCP - NO DEFINITION PROVIDED 0148 T TPR=.729,.718,.706,.699 TPR - NO DEFINITION PROVIDED 0149 T TDCL=-23.08,-21.15,-17.18,-12.55,-7.15,-2.25,4.16,9.3,14.51,18.41, X 21,23,23,21,18,14.17,8.33,3.19,-2.54,-8.15,-14.12,-18.18,-21.41,-23.08 TDCL - NO DEFINITION PROVIDED 0150 T ARCCOS=3.14159,2.69,2.49,2.34,2.21,2.09,1.98,1.87,1.77,1.67,1.5709 X ,.1476,1.3694,1.2661,1.1593,1.0472,.9273,.7954,.6435,.4510,0 ARCCOS - NO DEFINITION PROVIDED 0151 T ARCSIN=-1.5708,-1.11,-.92,-.77,-.64,-.52,-.41,-.30,-.20,-.10, X 0,.1002,.2014,.3047,.4115,.5236,.6435,.7754,.9272,1.119,1.57 ARCSIN - NO DEFINITION PROVIDED 0152 NOTE 0153 NOTE 0154 C K1=.12 K1 - NO DEFINITION PROVIDED 0155 C C1=.57 $ 1) ***** W A R N I N G ***** ND0588 C1 - NO DEFINITION PROVIDED 1PAGE 8 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND 0156 C A1=.0041 A1 - NO DEFINITION PROVIDED 0157 C DX1=.125 DX1 - NO DEFINITION PROVIDED 0158 C K2=.7 $ 1) ***** W A R N I N G ***** ND0588 K2 - NO DEFINITION PROVIDED 0159 C C2=.2 $ 1) ***** W A R N I N G ***** ND0588 C2 - NO DEFINITION PROVIDED 0160 C A2=.0267 $ 1) ***** W A R N I N G ***** ND0588 A2 - NO DEFINITION PROVIDED 0161 C DX2=.0416 $ 1) ***** W A R N I N G ***** ND0588 DX2 - NO DEFINITION PROVIDED 0162 EXPND EXTROR(DX1,TWAL1,TTWAL1,TTWAL2) 0163+ A T1.K=(A1*DTK/DX1**2)*(2*HO.K*DX1/K1*TOUT.K+2*TTWAL2.K+ + X (-2*HO.K*DX1/K1-2+DX1**2/(A1*DTK))*TTWAL1.K) 0164+ A TWAL1.K=T1.K+2*QSUN.K/K1*A1*DTK/DX1*EPSLON 0165+ N TTWAL1=505 INITIAL NODE TEMPERATURE RANKINE 0166+ R RATE1.KL=TWAL1.K-TTWAL1.K 0167+ L TTWAL1.K=INTGRL(RATE1.JK) 0168+ MEND 0169 EXPND INTROR(TWAL5,TTWAL5,A1,K1,TTWAL4,DX1,RATE5) 0170+ A TWAL5.K=(A1*DTK/DX1**2)*(2*HI.K*DX1/K1*TIN.K+2*TTWAL4.K+(-2*HI.K*DX1/ + X K1-2+DX1**2/(A1*DTK))*TTWAL5.K) 0171+ N TTWAL5=505 0172+ R RATE5.KL=TWAL5.K-TTWAL5.K 0173+ L TTWAL5.K=INTGRL(RATE5.JK) 0174+ MEND 0175 EXPND SECTN(TWAL2,TTWAL2,A1,K1,TTWAL1,TTWAL3,DX1,RATE2) 0176+ A TWAL2.K=(A1*DTK/DX1**2)*(TTWAL3.K+TTWAL1.K)+(1-2*A1*DTK/DX1**2)* + X TTWAL2.K 0177+ N TTWAL2=505 0178+ R RATE2.KL=TWAL2.K-TTWAL2.K 1PAGE 9 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND 0179+ L TTWAL2.K=INTGRL(RATE2.JK) 0180+ MEND 0181 EXPND SECTN(TWAL3,TTWAL3,A1,K1,TTWAL2,TTWAL4,DX1,RATE3) 0182+ A TWAL3.K=(A1*DTK/DX1**2)*(TTWAL4.K+TTWAL2.K)+(1-2*A1*DTK/DX1**2)* + X TTWAL3.K 0183+ N TTWAL3=505 0184+ R RATE3.KL=TWAL3.K-TTWAL3.K 0185+ L TTWAL3.K=INTGRL(RATE3.JK) 0186+ MEND 0187 EXPND SECTN(TWAL4,TTWAL4,A1,K1,TTWAL3,TTWAL5,DX1,RATE4) 0188+ A TWAL4.K=(A1*DTK/DX1**2)*(TTWAL5.K+TTWAL3.K)+(1-2*A1*DTK/DX1**2)* + X TTWAL4.K 0189+ N TTWAL4=505 0190+ R RATE4.KL=TWAL4.K-TTWAL4.K 0191+ L TTWAL4.K=INTGRL(RATE4.JK) 0192+ MEND 0193 EXPND QFIND(TWAL5,QI,QSUM) 0194+ A QI.K=(TWAL5.K-TIN.K)*HI.K 0195+ N QSUM=0 0196+ A OUT.K=SWITCH(1,0,A2TIME.K) 0197+ R QR.KL=QI.K*DTK*OUT.K 0198+ L QSUM.K=INTGRL(QR.JK) 0199+ MEND 0200 NOTE 0201 NOTE SPECIFICATIONS 0202 PARM DT=.7 0203 PARM START=1 0204 PARM STOP=48 0205 PARM PRTPER=1 0206 PARM PLTPER=1 0207 PRINT ATIME,QSUM,QI,HO,HI ATIME - TIME USED IN ANALYSIS QI - O DEFINITION PROVIDED QI - NO DEFINITION PROVIDED HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F 0208 PRINT ATIME.2,QSUM.2,QI.2,HO.2,HI.2 ATIME - TIME USED IN ANALYSIS QI - O DEFINITION PROVIDED QI - NO DEFINITION PROVIDED HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F 0209 PRINT ATIME.3,QSUM.3,QI.3,HO.3,HI.3 ATIME - TIME USED IN ANALYSIS QI - O DEFINITION PROVIDED QI - NO DEFINITION PROVIDED HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F 0210 PRINT ATIME.4,QSUM.4,QI.4,HO.4,HI.4 ATIME - TIME USED IN ANALYSIS 1PAGE 10 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND QI - O DEFINITION PROVIDED QI - NO DEFINITION PROVIDED HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F 0211 PRINT ATIME.5,QSUM.5,QI.5,HO.5,HI.5 ATIME - TIME USED IN ANALYSIS QI - O DEFINITION PROVIDED QI - NO DEFINITION PROVIDED HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F 0212 PRINT ATIME.6,QSUM.6,QI.6,HO.6,HI.6 ATIME - TIME USED IN ANALYSIS QI - O DEFINITION PROVIDED QI - NO DEFINITION PROVIDED HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F 0213 PRINT ATIME.7,QSUM.7,QI.7,HO.7,HI.7 ATIME - TIME USED IN ANALYSIS QI - O DEFINITION PROVIDED QI - NO DEFINITION PROVIDED HO - OUTSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F HI - INSIDE HEAT TRANSFER COEFFIENT BTU/HR/FT**2/F 0214 PRINT QSUM.* QI - O DEFINITION PROVIDED 0215 PRINT QSUN.* QSUN - IS SUN UP YET NO=0 0216 PRINT QSOLAR.* QSOLAR - SOLAR ENERGY PROFILE DURING THE STUDY DAY BTU/HR/FT**2 0217 PLOT QSUN.* QSUN - IS SUN UP YET NO=0 0218 PLOT QSOLAR.* QSOLAR - SOLAR ENERGY PROFILE DURING THE STUDY DAY BTU/HR/FT**2 0219 PLOT QSUM.* QI - O DEFINITION PROVIDED 0220 RERUN WINDO=158400 FPH 0221 C WINDO=158400 WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280 1PAGE 11 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND 0222 RERUN WINDO=105600 0223 C WINDO=105600 WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280 0224 RERUN TO CHANGE THE INSIDE TEMPERATURE 0225 C WINDO=52800 WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280 0226 T TTIN=520,528,529,520 TTIN - INSIDE TEMP PROFILE RANKINE 0227 RERUN WINTER 0228 C DAY=41 DAY - DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14 0229 T TTOUT=460,460,461,464,460,460,460,460 TTOUT - OUTSIDE TEMP PROFILE[RA 0230 C WINDO=52800 WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280 0231 RERUN TO CHANGE THE OUTSIDE TEMPERATURE 0232 C DAY=41 DAY - DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14 0233 C WINDO=105600 WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280 0234 T TTOUT=460,460,461,464,460,460,460,460 TTOUT - OUTSIDE TEMP PROFILE[RA 0235 RERUN 0236 C DAY=41 DAY - DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14 0237 C WINDO=158400 WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280 0238 T TTOUT=460,460,461,464,460,460,460,460 TTOUT - OUTSIDE TEMP PROFILE[RA 0239 RERUN WINTER DAY AND MODIFINED INSIDEE AND OUTSIDE TEMPERATURE 0240 C DAY=41 1PAGE 12 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND DAY - DAY OF INTEREST ,STARTING AT JAN 1 DAY=JULY 14 0241 C WINDO=52800 WINDO - OUTSIDE AVERAGE WIND VELOCITY FPH (MPH*5280 0242 T TTOUT=460,460,461,464,460,460,460,460 TTOUT - OUTSIDE TEMP PROFILE[RA 0243 T TTIN=520,528,528,520 TTIN - INSIDE TEMP PROFILE RANKINE 1PAGE 13 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND * * * S T A T S A N D O P T I O N S * * * 243 SOURCE STATEMENTS 14 DIAGNOSTIC MESSAGES 14 WARNINGS CARD TYPE OCCURRENCE T 15 C 31 PARM 5 N 11 L 11 A 61 R 11 X 16 * 3 NOTE 39 PRINT 10 PLOT 3 RERUN 7 MACRO 6 MEND 14 EXPND 8 DEF 7 TITLE 1 OPTIONS IN EFFECT: CHECK NOSYSTEM DOCUMENT WIDE STATS GO NOSYMBOL NOXREF WARN NOOBJECT SOURCE NOTIME INTEGRATION METHOD: EULER LOWER SUM 1PAGE 14 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND TIME ATIME QSUM QI HO HI E+00 E+00 E+00 E+00 E+00 E-03 1.000 1.000 0.0000 -10.740 2.2062 608.79 1.700 1.700 0.0000 -.830 2.2069 608.99 3.100 3.100 0.0000 -.709 2.2058 608.68 3.800 3.800 0.0000 -.317 2.2042 608.25 5.200 5.200 0.0000 -.673 2.1998 607.01 5.900 5.900 0.0000 -.391 2.1971 606.27 7.300 7.300 0.0000 -.873 2.1919 604.83 8.000 8.000 0.0000 -.627 2.1897 604.25 8.700 8.700 0.0000 -.385 2.1876 603.66 10.100 10.100 0.0000 -.888 2.1833 602.47 10.800 10.800 0.0000 -.626 2.1809 601.81 12.200 12.200 0.0000 -.102 2.1757 600.39 12.900 12.900 0.0000 -.847 2.1731 599.65 14.300 14.300 0.0000 -.357 2.1672 598.04 15.000 15.000 0.0000 -.122 2.1641 597.17 15.700 15.700 0.0000 -.893 2.1612 596.36 17.100 17.100 0.0000 -.450 2.1567 595.12 17.800 17.800 0.0000 -.236 2.1563 595.01 19.200 19.200 0.0000 -.805 2.1574 595.33 19.900 19.900 0.0000 -.571 2.1588 595.71 21.300 21.300 0.0000 -.077 2.1626 596.76 22.000 22.000 0.0000 -.829 2.1649 597.38 22.700 22.700 0.0000 -.586 2.1673 598.05 24.100 0.100 0.0000 -.140 2.2038 608.14 24.800 0.800 -0.5586 -.925 2.2058 608.69 26.200 2.200 -1.3662 -.535 2.2068 608.97 26.900 2.900 -1.6283 -.366 2.2061 608.77 28.300 4.300 -1.9143 -.094 2.2028 607.86 29.000 5.000 -1.9601 0.009 2.2005 607.21 29.700 5.700 -1.9559 0.091 2.1979 606.49 31.100 7.100 -1.8356 0.204 2.1925 605.00 31.800 7.800 -1.7354 0.243 2.1903 604.41 33.200 9.200 -1.4806 0.308 2.1861 603.24 33.900 9.900 -1.3298 0.349 2.1839 602.64 35.300 11.300 -0.9620 0.459 2.1791 601.31 36.000 12.000 -0.7372 0.517 2.1765 600.60 36.700 12.700 -0.4839 0.574 2.1739 599.87 38.100 14.100 0.1052 0.681 2.1682 598.29 38.800 14.800 0.4387 0.731 2.1650 597.41 40.200 16.200 1.1798 0.831 2.1593 595.85 40.900 16.900 1.5870 0.882 2.1572 595.26 42.300 18.300 2.4777 0.992 2.1564 595.05 43.000 19.000 2.9636 1.055 2.1571 595.25 43.700 19.700 3.4806 1.137 2.1584 595.59 45.100 21.100 4.6428 1.343 2.1620 596.59 45.800 21.800 5.3008 1.457 2.1642 597.20 47.200 23.200 6.7846 1.683 2.1690 598.53 47.900 23.900 7.6095 1.790 2.1714 599.20 1PAGE 15 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND TIME ATIME.2 QSUM.2 QI.2 HO.2 HI.2 E+00 E+00 E+00 E+00 E+00 E-03 1.000 1.000 0.0000 -10.740 5.3131 608.79 1.700 1.700 0.0000 -.830 5.3147 608.99 3.100 3.100 0.0000 -.709 5.3120 608.68 3.800 3.800 0.0000 -.309 5.3083 608.25 5.200 5.200 0.0000 -.641 5.2975 607.01 5.900 5.900 0.0000 -.344 5.2910 606.27 7.300 7.300 0.0000 -.791 5.2785 604.83 8.000 8.000 0.0000 -.527 5.2734 604.25 8.700 8.700 0.0000 -.267 5.2683 603.66 10.100 10.100 0.0000 -.741 5.2578 602.47 10.800 10.800 0.0000 -.477 5.2521 601.81 12.200 12.200 0.0000 -.954 5.2397 600.39 12.900 12.900 0.0000 -.699 5.2333 599.65 14.300 14.300 0.0000 -.204 5.2192 598.04 15.000 15.000 0.0000 -.963 5.2116 597.17 15.700 15.700 0.0000 -.725 5.2046 596.36 17.100 17.100 0.0000 -.259 5.1937 595.12 17.800 17.800 0.0000 -.030 5.1927 595.01 19.200 19.200 0.0000 -.566 5.1956 595.33 19.900 19.900 0.0000 -.322 5.1988 595.71 21.300 21.300 0.0000 -.829 5.2080 596.76 22.000 22.000 0.0000 -.587 5.2135 597.38 22.700 22.700 0.0000 -.351 5.2192 598.05 24.100 0.100 0.0000 -.916 5.3073 608.14 24.800 0.800 -0.4487 -.706 5.3121 608.69 26.200 2.200 -1.0443 -.325 5.3146 608.97 26.900 2.900 -1.2035 -.167 5.3128 608.77 28.300 4.300 -1.3005 0.077 5.3049 607.86 29.000 5.000 -1.2628 0.163 5.2992 607.21 29.700 5.700 -1.1830 0.228 5.2929 606.49 31.100 7.100 -0.9365 0.310 5.2800 605.00 31.800 7.800 -0.7848 0.335 5.2748 604.41 33.200 9.200 -0.4461 0.375 5.2646 603.24 33.900 9.900 -0.2625 0.405 5.2594 602.64 35.300 11.300 0.1499 0.473 5.2477 601.31 36.000 12.000 0.3816 0.509 5.2415 600.60 36.700 12.700 0.6308 0.547 5.2351 599.87 38.100 14.100 1.1853 0.626 5.2214 598.29 38.800 14.800 1.4920 0.669 5.2137 597.41 40.200 16.200 2.1700 0.765 5.2001 595.85 40.900 16.900 2.5448 0.819 5.1949 595.26 42.300 18.300 3.3772 0.945 5.1931 595.05 43.000 19.000 3.8401 1.020 5.1948 595.25 43.700 19.700 4.3397 1.112 5.1978 595.59 45.100 21.100 5.4780 1.318 5.2065 596.59 45.800 21.800 6.1240 1.427 5.2119 597.20 47.200 23.200 7.5763 1.643 5.2235 598.53 47.900 23.900 8.3812 1.744 5.2293 599.20 1PAGE 16 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND TIME ATIME.3 QSUM.3 QI.3 HO.3 HI.3 E+00 E+00 E+00 E+00 E+00 E-03 1.000 1.000 0.0000 -10.740 3.8412 608.79 1.700 1.700 0.0000 -.830 3.8424 608.99 3.100 3.100 0.0000 -.709 3.8405 608.68 3.800 3.800 0.0000 -.313 3.8378 608.25 5.200 5.200 0.0000 -.653 3.8300 607.01 5.900 5.900 0.0000 -.361 3.8253 606.27 7.300 7.300 0.0000 -.818 3.8162 604.83 8.000 8.000 0.0000 -.560 3.8125 604.25 8.700 8.700 0.0000 -.306 3.8089 603.66 10.100 10.100 0.0000 -.787 3.8013 602.47 10.800 10.800 0.0000 -.522 3.7971 601.81 12.200 12.200 0.0000 -.998 3.7882 600.39 12.900 12.900 0.0000 -.744 3.7836 599.65 14.300 14.300 0.0000 -.250 3.7734 598.04 15.000 15.000 0.0000 -.011 3.7679 597.17 15.700 15.700 0.0000 -.776 3.7628 596.36 17.100 17.100 0.0000 -.317 3.7550 595.12 17.800 17.800 0.0000 -.093 3.7543 595.01 19.200 19.200 0.0000 -.639 3.7563 595.33 19.900 19.900 0.0000 -.397 3.7587 595.71 21.300 21.300 0.0000 -.901 3.7653 596.76 22.000 22.000 0.0000 -.657 3.7692 597.38 22.700 22.700 0.0000 -.418 3.7734 598.05 24.100 0.100 0.0000 -.980 3.8371 608.14 24.800 0.800 -0.4800 -.768 3.8406 608.69 26.200 2.200 -1.1358 -.385 3.8423 608.97 26.900 2.900 -1.3242 -.221 3.8411 608.77 28.300 4.300 -1.4732 0.031 3.8353 607.86 29.000 5.000 -1.4578 0.122 3.8313 607.21 29.700 5.700 -1.3979 0.192 3.8267 606.49 31.100 7.100 -1.1835 0.284 3.8173 605.00 31.800 7.800 -1.0444 0.313 3.8136 604.41 33.200 9.200 -0.7255 0.360 3.8062 603.24 33.900 9.900 -0.5492 0.393 3.8024 602.64 35.300 11.300 -0.1445 0.475 3.7940 601.31 36.000 12.000 0.0882 0.518 3.7895 600.60 36.700 12.700 0.3419 0.561 3.7849 599.87 38.100 14.100 0.9124 0.647 3.7750 598.29 38.800 14.800 1.2294 0.691 3.7694 597.41 40.200 16.200 1.9298 0.787 3.7596 595.85 40.900 16.900 2.3155 0.840 3.7558 595.26 42.300 18.300 3.1665 0.959 3.7545 595.05 43.000 19.000 3.6365 1.030 3.7558 595.25 43.700 19.700 4.1411 1.119 3.7579 595.59 45.100 21.100 5.2867 1.327 3.7642 596.59 45.800 21.800 5.9367 1.438 3.7681 597.20 47.200 23.200 7.4000 1.657 3.7765 598.53 47.900 23.900 8.2117 1.759 3.7807 599.20 1PAGE 17 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND TIME ATIME.4 QSUM.4 QI.4 HO.4 HI.4 E+00 E+00 E+00 E+00 E+00 E-03 1.000 1.000 0.000 -7.6023 2.2062 608.79 1.700 1.700 0.000 -7.3577 2.2069 608.99 3.100 3.100 0.000 -7.2228 2.2058 608.68 3.800 3.800 0.000 -7.2180 2.2042 608.25 5.200 5.200 0.000 -7.2101 2.1998 607.01 5.900 5.900 0.000 -7.1883 2.1971 606.27 7.300 7.300 0.000 -7.0911 2.1919 604.83 8.000 8.000 0.000 -7.0112 2.1897 604.25 8.700 8.700 0.000 -6.9056 2.1876 603.66 10.100 10.100 0.000 -6.6005 2.1833 602.47 10.800 10.800 0.000 -6.3940 2.1809 601.81 12.200 12.200 0.000 -5.9038 2.1757 600.39 12.900 12.900 0.000 -5.6272 2.1731 599.65 14.300 14.300 0.000 -5.0165 2.1672 598.04 15.000 15.000 0.000 -4.6825 2.1641 597.17 15.700 15.700 0.000 -4.3292 2.1612 596.36 17.100 17.100 0.000 -3.5618 2.1567 595.12 17.800 17.800 0.000 -3.1467 2.1563 595.01 19.200 19.200 0.000 -2.2341 2.1574 595.33 19.900 19.900 0.000 -1.7186 2.1588 595.71 21.300 21.300 0.000 -0.5811 2.1626 596.76 22.000 22.000 0.000 0.0310 2.1649 597.38 22.700 22.700 0.000 0.6656 2.1673 598.05 24.100 0.100 0.000 1.8649 2.2038 608.14 24.800 0.800 0.914 1.5091 2.2058 608.69 26.200 2.200 2.252 0.9816 2.2068 608.97 26.900 2.900 2.733 0.7702 2.2061 608.77 28.300 4.300 3.393 0.3977 2.2028 607.86 29.000 5.000 3.588 0.2288 2.2005 607.21 29.700 5.700 3.700 0.0706 2.1979 606.49 31.100 7.100 3.698 -0.2094 2.1925 605.00 31.800 7.800 3.595 -0.3261 2.1903 604.41 33.200 9.200 3.228 -0.4945 2.1861 603.24 33.900 9.900 2.986 -0.5305 2.1839 602.64 35.300 11.300 2.466 -0.5005 2.1791 601.31 36.000 12.000 2.221 -0.4444 2.1765 600.60 36.700 12.700 2.003 -0.3647 2.1739 599.87 38.100 14.100 1.696 -0.1371 2.1682 598.29 38.800 14.800 1.629 0.0113 2.1650 597.41 40.200 16.200 1.724 0.3818 2.1593 595.85 40.900 16.900 1.911 0.6060 2.1572 595.26 42.300 18.300 2.629 1.1386 2.1564 595.05 43.000 19.000 3.187 1.4526 2.1571 595.25 43.700 19.700 3.899 1.8121 2.1584 595.59 45.100 21.100 5.871 2.6533 2.1620 596.59 45.800 21.800 7.171 3.1264 2.1642 597.20 47.200 23.200 10.481 4.1551 2.1690 598.53 47.900 23.900 12.517 4.7051 2.1714 599.20 1PAGE 18 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND TIME ATIME.5 QSUM.5 QI.5 HO.5 HI.5 E+00 E+00 E+00 E+00 E+00 E-03 1.000 1.000 0.00 -.885 2.3267 642.06 1.700 1.700 0.00 -.604 2.3268 642.07 3.100 3.100 0.00 -.440 2.3267 642.05 3.800 3.800 0.00 -.449 2.3265 642.00 5.200 5.200 0.00 -.578 2.3258 641.80 5.900 5.900 0.00 -.681 2.3252 641.64 7.300 7.300 0.00 -.931 2.3230 641.03 8.000 8.000 0.00 -.063 2.3212 640.52 8.700 8.700 0.00 -.196 2.3195 640.05 10.100 10.100 0.00 -.443 2.3171 639.40 10.800 10.800 0.00 -.553 2.3180 639.63 12.200 12.200 0.00 -.725 2.3219 640.72 12.900 12.900 0.00 -.779 2.3242 641.34 14.300 14.300 0.00 -.810 2.3271 642.15 15.000 15.000 0.00 -.784 2.3273 642.20 15.700 15.700 0.00 -.731 2.3272 642.19 17.100 17.100 0.00 -.549 2.3267 642.03 17.800 17.800 0.00 -.419 2.3266 642.03 19.200 19.200 0.00 -.079 2.3266 642.03 19.900 19.900 0.00 -.867 2.3266 642.03 21.300 21.300 0.00 -.356 2.3266 642.03 22.000 22.000 0.00 -.056 2.3266 642.03 22.700 22.700 0.00 -.726 2.3266 642.03 24.100 0.100 0.00 -.129 2.3267 642.03 24.800 0.800 -.00 -.795 2.3267 642.05 26.200 2.200 -.94 -.879 2.3268 642.07 26.900 2.900 -13.80 -.334 2.3267 642.05 28.300 4.300 -22.17 -.115 2.3263 641.94 29.000 5.000 -26.64 -.450 2.3260 641.84 29.700 5.700 -31.27 -.749 2.3254 641.69 31.100 7.100 -40.96 -10.251 2.3235 641.17 31.800 7.800 -45.98 -10.454 2.3217 640.67 33.200 9.200 -56.31 -10.773 2.3184 639.76 33.900 9.900 -61.59 -10.892 2.3173 639.46 35.300 11.300 -72.31 -11.056 2.3192 639.98 36.000 12.000 -77.73 -11.098 2.3213 640.55 36.700 12.700 -83.16 -11.111 2.3235 641.17 38.100 14.100 -94.04 -11.044 2.3270 642.11 38.800 14.800 -99.46 -10.963 2.3272 642.19 40.200 16.200 -110.15 -10.716 2.3271 642.14 40.900 16.900 -115.40 -10.553 2.3268 642.06 42.300 18.300 -125.65 -10.150 2.3266 642.03 43.000 19.000 -130.62 -.909 2.3266 642.03 43.700 19.700 -135.47 -.641 2.3266 642.03 45.100 21.100 -144.78 -.024 2.3266 642.03 45.800 21.800 -149.20 -.674 2.3266 642.03 47.200 23.200 -157.52 -.888 2.3266 642.03 47.900 23.900 -161.38 -.451 2.3266 642.03 1PAGE 19 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND TIME ATIME.6 QSUM.6 QI.6 HO.6 HI.6 E+00 E+00 E+00 E+00 E+00 E-03 1.000 1.000 0.00 -.885 4.0511 642.06 1.700 1.700 0.00 -.604 4.0512 642.07 3.100 3.100 0.00 -.440 4.0510 642.05 3.800 3.800 0.00 -.460 4.0507 642.00 5.200 5.200 0.00 -.625 4.0495 641.80 5.900 5.900 0.00 -.753 4.0485 641.64 7.300 7.300 0.00 -.053 4.0446 641.03 8.000 8.000 0.00 -.211 4.0414 640.52 8.700 8.700 0.00 -.368 4.0384 640.05 10.100 10.100 0.00 -.659 4.0343 639.40 10.800 10.800 0.00 -.789 4.0358 639.63 12.200 12.200 0.00 -.996 4.0427 640.72 12.900 12.900 0.00 -.064 4.0466 641.34 14.300 14.300 0.00 -.119 4.0517 642.15 15.000 15.000 0.00 -.103 4.0520 642.20 15.700 15.700 0.00 -.060 4.0519 642.19 17.100 17.100 0.00 -.895 4.0510 642.03 17.800 17.800 0.00 -.774 4.0509 642.03 19.200 19.200 0.00 -.448 4.0509 642.03 19.900 19.900 0.00 -.242 4.0509 642.03 21.300 21.300 0.00 -.741 4.0509 642.03 22.000 22.000 0.00 -.446 4.0509 642.03 22.700 22.700 0.00 -.120 4.0509 642.03 24.100 0.100 0.00 -.529 4.0509 642.03 24.800 0.800 -.20 -.198 4.0511 642.05 26.200 2.200 -10.54 -.285 4.0512 642.07 26.900 2.900 -14.60 -.743 4.0511 642.05 28.300 4.300 -23.37 -.526 4.0504 641.94 29.000 5.000 -28.03 -.861 4.0497 641.84 29.700 5.700 -32.87 -10.162 4.0488 641.69 31.100 7.100 -42.96 -10.664 4.0455 641.17 31.800 7.800 -48.18 -10.866 4.0423 640.67 33.200 9.200 -58.91 -11.184 4.0366 639.76 33.900 9.900 -64.39 -11.302 4.0347 639.46 35.300 11.300 -75.52 -11.464 4.0380 639.98 36.000 12.000 -81.13 -11.504 4.0416 640.55 36.700 12.700 -86.77 -11.515 4.0455 641.17 38.100 14.100 -98.05 -11.442 4.0515 642.11 38.800 14.800 -103.65 -11.358 4.0520 642.19 40.200 16.200 -114.73 -11.108 4.0517 642.14 40.900 16.900 -120.17 -10.943 4.0511 642.06 42.300 18.300 -130.80 -10.538 4.0509 642.03 43.000 19.000 -135.97 -10.297 4.0509 642.03 43.700 19.700 -141.01 -10.029 4.0509 642.03 45.100 21.100 -150.70 -.411 4.0509 642.03 45.800 21.800 -155.31 -.060 4.0509 642.03 47.200 23.200 -164.00 -.273 4.0509 642.03 47.900 23.900 -168.05 -.836 4.0509 642.03 1PAGE 20 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND TIME ATIME.7 QSUM.7 QI.7 HO.7 HI.7 E+00 E+00 E+00 E+00 E+00 E-03 1.000 1.000 0.00 -.885 5.6033 642.06 1.700 1.700 0.00 -.604 5.6034 642.07 3.100 3.100 0.00 -.440 5.6032 642.05 3.800 3.800 0.00 -.469 5.6028 642.00 5.200 5.200 0.00 -.653 5.6011 641.80 5.900 5.900 0.00 -.790 5.5997 641.64 7.300 7.300 0.00 -.113 5.5944 641.03 8.000 8.000 0.00 -.283 5.5900 640.52 8.700 8.700 0.00 -.449 5.5858 640.05 10.100 10.100 0.00 -.758 5.5801 639.40 10.800 10.800 0.00 -.896 5.5822 639.63 12.200 12.200 0.00 -.115 5.5917 640.72 12.900 12.900 0.00 -.189 5.5971 641.34 14.300 14.300 0.00 -.252 5.6041 642.15 15.000 15.000 0.00 -.240 5.6046 642.20 15.700 15.700 0.00 -.201 5.6045 642.19 17.100 17.100 0.00 -.042 5.6031 642.03 17.800 17.800 0.00 -.923 5.6031 642.03 19.200 19.200 0.00 -.602 5.6031 642.03 19.900 19.900 0.00 -.398 5.6031 642.03 21.300 21.300 0.00 -.901 5.6031 642.03 22.000 22.000 0.00 -.607 5.6031 642.03 22.700 22.700 0.00 -.282 5.6031 642.03 24.100 0.100 0.00 -.693 5.6031 642.03 24.800 0.800 -.28 -.363 5.6033 642.05 26.200 2.200 -10.78 -.451 5.6034 642.07 26.900 2.900 -14.92 -.908 5.6033 642.05 28.300 4.300 -23.85 -.692 5.6024 641.94 29.000 5.000 -28.60 -10.027 5.6014 641.84 29.700 5.700 -33.51 -10.327 5.6001 641.69 31.100 7.100 -43.76 -10.829 5.5956 641.17 31.800 7.800 -49.07 -11.031 5.5912 640.67 33.200 9.200 -59.97 -11.348 5.5833 639.76 33.900 9.900 -65.53 -11.465 5.5806 639.46 35.300 11.300 -76.81 -11.625 5.5852 639.98 36.000 12.000 -82.50 -11.665 5.5902 640.55 36.700 12.700 -88.22 -11.674 5.5956 641.17 38.100 14.100 -99.65 -11.599 5.6038 642.11 38.800 14.800 -105.33 -11.514 5.6045 642.19 40.200 16.200 -116.56 -11.261 5.6041 642.14 40.900 16.900 -122.08 -11.096 5.6034 642.06 42.300 18.300 -132.86 -10.691 5.6031 642.03 43.000 19.000 -138.10 -10.449 5.6031 642.03 43.700 19.700 -143.22 -10.181 5.6031 642.03 45.100 21.100 -153.05 -.562 5.6031 642.03 45.800 21.800 -157.74 -.211 5.6031 642.03 47.200 23.200 -166.58 -.423 5.6031 642.03 47.900 23.900 -170.71 -.986 5.6031 642.03 1PAGE 21 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND TIME QSUM.1 QSUM.2 QSUM.3 QSUM.4 QSUM.5 QSUM.6 QSUM.7 QSUM.8 1.000 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 1.700 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 3.100 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 3.800 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 5.200 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 5.900 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 7.300 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 8.000 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 8.700 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 10.100 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 10.800 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 12.200 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 12.900 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 14.300 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 15.000 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 15.700 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 17.100 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 17.800 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 19.200 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 19.900 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 21.300 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 22.000 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 22.700 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 24.100 0.0000 0.0000 0.0000 0.000 0.00 0.00 0.00 0.00 24.800 -0.5586 -0.4487 -0.4800 0.914 -.00 -.20 -.28 -.08 26.200 -1.3662 -1.0443 -1.1358 2.252 -.94 -10.54 -10.78 -10.22 26.900 -1.6283 -1.2035 -1.3242 2.733 -13.80 -14.60 -14.92 -14.18 28.300 -1.9143 -1.3005 -1.4732 3.393 -22.17 -23.37 -23.85 -22.76 29.000 -1.9601 -1.2628 -1.4578 3.588 -26.64 -28.03 -28.60 -27.32 29.700 -1.9559 -1.1830 -1.3979 3.700 -31.27 -32.87 -33.51 -32.03 31.100 -1.8356 -0.9365 -1.1835 3.698 -40.96 -42.96 -43.76 -41.84 31.800 -1.7354 -0.7848 -1.0444 3.595 -45.98 -48.18 -49.07 -46.90 33.200 -1.4806 -0.4461 -0.7255 3.228 -56.31 -58.91 -59.97 -57.24 33.900 -1.3298 -0.2625 -0.5492 2.986 -61.59 -64.39 -65.53 -62.49 35.300 -0.9620 0.1499 -0.1445 2.466 -72.31 -75.52 -76.81 -73.10 36.000 -0.7372 0.3816 0.0882 2.221 -77.73 -81.13 -82.50 -78.43 36.700 -0.4839 0.6308 0.3419 2.003 -83.16 -86.77 -88.22 -83.77 38.100 0.1052 1.1853 0.9124 1.696 -94.04 -98.05 -99.65 -94.40 38.800 0.4387 1.4920 1.2294 1.629 -99.46 -103.65 -105.33 -99.66 40.200 1.1798 2.1700 1.9298 1.724 -110.15 -114.73 -116.56 -110.04 40.900 1.5870 2.5448 2.3155 1.911 -115.40 -120.17 -122.08 -115.12 42.300 2.4777 3.3772 3.1665 2.629 -125.65 -130.80 -132.86 -125.04 43.000 2.9636 3.8401 3.6365 3.187 -130.62 -135.97 -138.10 -129.85 43.700 3.4806 4.3397 4.1411 3.899 -135.47 -141.01 -143.22 -134.56 45.100 4.6428 5.4780 5.2867 5.871 -144.78 -150.70 -153.05 -143.63 45.800 5.3008 6.1240 5.9367 7.171 -149.20 -155.31 -157.74 -147.96 47.200 6.7846 7.5763 7.4000 10.481 -157.52 -164.00 -166.58 -156.21 47.900 7.6095 8.3812 8.2117 12.517 -161.38 -168.05 -170.71 -160.10 1PAGE 22 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND TIME QSUN.1 QSUN.2 QSUN.3 QSUN.4 QSUN.5 QSUN.6 QSUN.7 QSUN.8 1.000 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 1.700 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 3.100 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 3.800 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 5.200 14.50 14.50 14.50 14.50 0.0000 0.0000 0.0000 0.0000 5.900 22.54 22.54 22.54 22.54 0.0000 0.0000 0.0000 0.0000 7.300 126.58 126.58 126.58 126.58 0.0000 0.0000 0.0000 0.0000 8.000 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 8.700 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 10.100 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 10.800 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 12.200 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 12.900 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 14.300 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 15.000 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 15.700 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 17.100 77.59 77.59 77.59 77.59 0.0000 0.0000 0.0000 0.0000 17.800 17.90 17.90 17.90 17.90 0.0000 0.0000 0.0000 0.0000 19.200 5.81 5.81 5.81 5.81 0.0000 0.0000 0.0000 0.0000 19.900 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 21.300 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 22.000 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 22.700 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 24.100 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 24.800 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 26.200 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 26.900 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 28.300 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 29.000 10.52 10.52 10.52 10.52 0.0000 0.0000 0.0000 0.0000 29.700 21.18 21.18 21.18 21.18 0.0000 0.0000 0.0000 0.0000 31.100 111.98 111.98 111.98 111.98 0.0000 0.0000 0.0000 0.0000 31.800 31.21 31.21 31.21 31.21 0.0000 0.0000 0.0000 0.0000 33.200 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 33.900 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 35.300 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 36.000 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 36.700 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 38.100 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 38.800 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 40.200 31.21 31.21 31.21 31.21 0.0000 0.0000 0.0000 0.0000 40.900 111.98 111.98 111.98 111.98 0.0000 0.0000 0.0000 0.0000 42.300 21.18 21.18 21.18 21.18 0.0000 0.0000 0.0000 0.0000 43.000 10.52 10.52 10.52 10.52 0.0000 0.0000 0.0000 0.0000 43.700 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 45.100 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 45.800 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 47.200 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 47.900 0.00 0.00 0.00 0.00 0.0000 0.0000 0.0000 0.0000 1PAGE 23 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND TIME QSOLAR.1 QSOLAR.2 QSOLAR.3 QSOLAR.4 QSOLAR.5 QSOLAR.6 QSOLAR.7 QSOLAR.8 1.000 -186.00 -186.00 -186.00 -186.00 -269.66 -269.66 -269.66 -269.66 1.700 -155.04 -155.04 -155.04 -155.04 -266.85 -266.85 -266.85 -266.85 3.100 -83.65 -83.65 -83.65 -83.65 -228.90 -228.90 -228.90 -228.90 3.800 -44.80 -44.80 -44.80 -44.80 -195.31 -195.31 -195.31 -195.31 5.200 34.99 34.99 34.99 34.99 -105.74 -105.74 -105.74 -105.74 5.900 74.17 74.17 74.17 74.17 -53.45 -53.45 -53.45 -53.45 7.300 146.82 146.82 146.82 146.82 55.48 55.48 55.48 55.48 8.000 178.69 178.69 178.69 178.69 107.65 107.65 107.65 107.65 8.700 206.64 206.64 206.64 206.64 155.38 155.38 155.38 155.38 10.100 248.41 248.41 248.41 248.41 229.99 229.99 229.99 229.99 10.800 261.32 261.32 261.32 261.32 253.80 253.80 253.80 253.80 12.200 269.76 269.76 269.76 269.76 269.55 269.55 269.55 269.55 12.900 265.11 265.11 265.11 265.11 260.84 260.84 260.84 260.84 14.300 238.57 238.57 238.57 238.57 212.07 212.07 212.07 212.07 15.000 217.26 217.26 217.26 217.26 173.99 173.99 173.99 173.99 15.700 191.19 191.19 191.19 191.19 128.77 128.77 128.77 128.77 17.100 127.11 127.11 127.11 127.11 24.51 24.51 24.51 24.51 17.800 90.51 90.51 90.51 90.51 -30.24 -30.24 -30.24 -30.24 19.200 12.20 12.20 12.20 12.20 -133.80 -133.80 -133.80 -133.80 19.900 -27.79 -27.79 -27.79 -27.79 -178.36 -178.36 -178.36 -178.36 21.300 -105.08 -105.08 -105.08 -105.08 -243.94 -243.94 -243.94 -243.94 22.000 -140.68 -140.68 -140.68 -140.68 -262.27 -262.27 -262.27 -262.27 22.700 -173.20 -173.20 -173.20 -173.20 -269.82 -269.82 -269.82 -269.82 24.100 -219.73 -219.73 -219.73 -219.73 -257.01 -257.01 -257.01 -257.01 24.800 -194.13 -194.13 -194.13 -194.13 -268.42 -268.42 -268.42 -268.42 26.200 -130.80 -130.80 -130.80 -130.80 -258.11 -258.11 -258.11 -258.11 26.900 -94.45 -94.45 -94.45 -94.45 -236.82 -236.82 -236.82 -236.82 28.300 -16.39 -16.39 -16.39 -16.39 -166.30 -166.30 -166.30 -166.30 29.000 23.62 23.62 23.62 23.62 -119.97 -119.97 -119.97 -119.97 29.700 63.10 63.10 63.10 63.10 -68.71 -68.71 -68.71 -68.71 31.100 137.09 137.09 137.09 137.09 40.06 40.06 40.06 40.06 31.800 169.96 169.96 169.96 169.96 93.10 93.10 93.10 93.10 33.200 223.86 223.86 223.86 223.86 185.68 185.68 185.68 185.68 33.900 243.71 243.71 243.71 243.71 221.40 221.40 221.40 221.40 35.300 267.04 267.04 267.04 267.04 264.45 264.45 264.45 264.45 36.000 270.00 270.00 270.00 270.00 270.00 270.00 270.00 270.00 36.700 267.04 267.04 267.04 267.04 264.45 264.45 264.45 264.45 38.100 243.71 243.71 243.71 243.71 221.40 221.40 221.40 221.40 38.800 223.86 223.86 223.86 223.86 185.68 185.68 185.68 185.68 40.200 169.96 169.96 169.96 169.96 93.10 93.10 93.10 93.10 40.900 137.09 137.09 137.09 137.09 40.06 40.06 40.06 40.06 42.300 63.10 63.10 63.10 63.10 -68.71 -68.71 -68.71 -68.71 43.000 23.62 23.62 23.62 23.62 -119.97 -119.97 -119.97 -119.97 43.700 -16.39 -16.39 -16.39 -16.39 -166.30 -166.30 -166.30 -166.30 45.100 -94.45 -94.45 -94.45 -94.45 -236.82 -236.82 -236.82 -236.82 45.800 -130.80 -130.80 -130.80 -130.80 -258.11 -258.11 -258.11 -258.11 47.200 -194.13 -194.13 -194.13 -194.13 -268.42 -268.42 -268.42 -268.42 47.900 -219.73 -219.73 -219.73 -219.73 -257.01 -257.01 -257.01 -257.01 1PAGE 24 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND 1=QSUN.1 2=QSUN.2 3=QSUN.3 4=QSUN.4 5=QSUN.5 6=QSUN.6 7=QSUN.7 8=QSUN.8 87654321 0 32.5 65 97.5 130 1 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 T 1 . . . . 12345678 I 5 1 . . . . 1234,5678 M 5 1 . . . . 1234,5678 E 5 . . . 1 . 1234,5678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 10.8 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 5 . . 1 . . 1234,5678 5 1 . . . . 1234,5678 5 1 . . . . 1234,5678 1 . . . . 12345678 21.3 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 5 1 . . . . 1234,5678 5 1 . . . . 1234,5678 31.1 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . 1234,5678 5 1. . . . 1234,5678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 5 1. . . . 1234,5678 40.9 5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 . . . . . . 1234,5678 5 1 . . . . 1234,5678 5 1 . . . . 1234,5678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 1 . . . . 12345678 47.9 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678 1PAGE 25 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND 1=QSOLAR.1 2=QSOLAR.2 3=QSOLAR.3 4=QSOLAR.4 5=QSOLAR.5 6=QSOLAR.6 7=QSOLAR.7 8=QSOLAR.8 87654321 -220 -97.5 25 147.5 270 1 . . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1234 . 1 . . . . 1234 . . 1 . . . 1234 T . 5 . 1 . . . 1234,5678 I . 5. . 1 . . 1234,5678 M . . 5 . 1 . . 1234,5678 E . . . 5 1 . 1234,5678 . . . 5 . 1 . 1234,5678 . . . .5 1 . 1234,5678 . . . . 5 1 . 1234,5678 10.8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .51 . 1234,5678 . . . . 1 12345678 . . . . 51. 1234,5678 . . . . 5 1 . 1234,5678 . . . . 5 1 . 1234,5678 . . . 5 . 1 . 1234,5678 . . 5 1 . . 1234,5678 . . 5 . 1 . . 1234,5678 . 5 . 1 . . . 1234,5678 . 5 . 1 . . . 1234,5678 21.3 . . . . . . . . . . .1. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1234 . 1 . . . . 1234 . 1 . . . . 1234 1 . . . . 1234 . 1 . . . . 1234 . 1 . . . . 1234 . .1 . . . 1234 . 5 . 1 . . . 1234,5678 . 5 . 1 . . 1234,5678 . . 5 . 1 . . 1234,5678 31.1 . . . . . . . . . . . . . . . . . . . . . . . .5. . . . . . . . 1 . . . . . . . . . . . . 1234,5678 . . . 5 . 1 . 1234,5678 . . . . 5 1 . 1234,5678 . . . . 5 1 . 1234,5678 . . . . 1. 12345678 . . . . 1 12345678 . . . . 1. 12345678 . . . . 5 1 . 1234,5678 . . . . 5 1 . 1234,5678 . . . 5 . 1 . 1234,5678 40.9 . . . . . . . . . . . . . . . . . . . . . . . .5. . . . . . . . 1 . . . . . . . . . . . . 1234,5678 . . 5 . 1 . . 1234,5678 . 5 . 1 . . 1234,5678 . 5 . 1 . . . 1234,5678 . .1 . . . 1234 . 1 . . . . 1234 . 1 . . . . 1234 47.9 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1234 1PAGE 26 HEATS: HEAT ENERGY ANALYSIS THROUGH SIMULATION (C) 1978 UND 1=QSUM.1 2=QSUM.2 3=QSUM.3 4=QSUM.4 5=QSUM.5 6=QSUM.6 7=QSUM.7 8=QSUM.8 87654321 -2 .425 2.85 5.275 7.7 1 . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678 . 1 . . . . 12345678 . 1 . . . . 12345678 T . 1 . . . . 12345678 I . 1 . . . . 12345678 M . 1 . . . . 12345678 E . 1 . . . . 12345678 . 1 . . . . 12345678 . 1 . . . . 12345678 . 1 . . . . 12345678 10.8 . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678 . 1 . . . . 12345678 . 1 . . . . 12345678 . 1 . . . . 12345678 . 1 . . . . 12345678 . 1 . . . . 12345678 . 1 . . . . 12345678 . 1 . . . . 12345678 . 1 . . . . 12345678 . 1 . . . . 12345678 21.3 . . . . . . . . . 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12345678 . 1 . . . . 12345678 . 1 . . . . 12345678 . 1 . . . . 12345678 . 12 . 4 . . . 23 . 1 32 . 4 . . . . 1 32 . 4. . . .1 32 . . 4 . . 1 3 2 . . 4 . . 1 3 2 . . 4 . . 31.1 .1. . .3. 2 . . . . . . . . . . . . . . . . . . . . 4 . . . . . . . . . . . . . . . . . . . 1 3 2 . . 4 . . . 1 3 2 . . 4 . . . 1 3 2 . .4 . . . 1 3 2 . 4 . . . . 1 3 2 4 . . . . 1 3. 2 4 . . . . 1 . 3 2 4 . . . . 1 3 24 . . . . . 1 4 3 2 . . . 40.9 . . . . . . . . . . . . . . . . .1.4. .3.2. . . . . . . . . . . . . . . . . . . . . . . . . . 14 . 3 2 . . . . .1 4 3 2 . . . . . 1 4 3 2 . . . . . 1 3 2 4 . . . . 1 3 2 4 . . . . . 1 3 2. 47.9 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1.