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[{"$nulls":10},"Specified Model Parameters"]
[null,null,"T-5 Cell Specifications",{"$nulls":7},"Tamb (K)",null,null,null,"T∞ (K)","THTFi (K)","ΔT,HTF-NaS","Dat,o (m)","Dat,i (m)","Dgt,o (m)",{"$nulls":4},"Dgt,i (m)","Dbt,o (m)","Dbt,i (m)","\"a\" - Dbt,o (m)/Dat,i (m)",null,"kat (Wm-1K-1)","kbt (Wm-1K-1)","kgt (Wm-1K-1)","HTF Loop Length (m)","NaS Cell length (m)",null,"cp,air(Jkg-1K-1)","ρair(kgm-3)","kair (Wm-1K-1)","µair(kgm-1s-1)","Pr",null,"γ(m2/s)",null,"Gr","Ra","Nufree-conv","hfree-conv"]
[{"$nulls":10},{"$f":"K4+273","v":295},null,null,null,{"$f":"O4+273","v":278.70635981340121},{"$f":"P4+273","v":303},10,0.16800000000000001,0.154,0.19,{"$nulls":4},0.18,0.114,0.10199999999999999,{"$f":"Z3/S3","v":0.74025974025974028},null,23,200,1.1399999999999999,779.5,0.5,null,{"$f":"1030.5-0.19975*$K$3+0.00039734*$K$3^2","v":1006.1522635},{"$f":"(351.99/$K$3)+(344.84/$K$3^2)","v":1.1971489801781099},{"$f":"(0.00234*$K$3^(3/2))/(164.54+$K$3)","v":2.5800347858642089E-2},{"$f":"0.000001*(1.45*$K$3^(3/2))/(109.1+$K$3)","v":1.8180765941506138E-5},{"$f":"AJ3*AM3/AL3","v":0.70900667326013622},null,{"$f":"AM3/AK3","v":1.5186719650215325E-5},null,{"$f":"(9.81*(1/$K$3)*(0.55)*$T$3^3)/($AP$3)^2","v":543929.39809152554},{"$f":"AN3*AR3","v":385649.57302926079},{"$f":"((0.6+0.387*$AS$3^(1/6))/(1+(0.559/$AN$3)^(9/16))^(8/27))^2","v":10.489639540673467},{"$f":"AT3*AL3/T3","v":1.4244018371639058}]
["Cell Case Outer Diameter (Dbt,o) (m)","Cell Case Inner Diameter (Dbt,i) (m)","Sulphur electrode outer Diameter (Dse,o) (m)","Sulphur Electrode Inner Diameter (Dse,i) (m)","Beta- Alumina  Outer Diameter (Dba,o) (m)","Beta- Alumina Inner Diameter (Dba,i) (m)","Sodium Electrode Outer Diameter (Dsod) (m)","Cell length (m)",null,null,22,null,null,null,{"$f":"0.0553*K4^1.5","v":5.7063598134011864},30]
[{"$f":"0.091","v":9.0999999999999998E-2},{"$f":"0.087","v":8.6999999999999994E-2},{"$f":"$B$5","v":8.6999999999999994E-2},{"$f":"$E$5","v":0.06},{"$f":"0.06","v":0.06},{"$f":"0.057","v":5.7000000000000002E-2},{"$f":"$F$5-0.0005*2","v":5.6000000000000001E-2},{"$f":"$AH$3","v":0.5},null,null,"εat",null,"q''sol_conc_incident(Wm-2)",null,"εgt","q''sol_Abs_at (Wm-2)","σ (Wm-2K-4)","Ṁ (kgs-1)","SF(ato-gti)","SF (gto-sky) ",null,null,null,"PTC Rim Angle(o)","VF(ato-gti)","VF(gto-sky)","q\"sol (1 sun)W/m2","Dh (ati- bto)","PTC Aperature(m)","PTC Arc Length(m)","kair (Wm-1K-1)","Flux Conc. Ratio","d* = dbto/dati","Parabola Focal Length","Lost Area (m2)","Lost Area, θi  (m2)"]
[{"$nulls":10},0.1,null,{"$f":"P7*K24*P24*Q24","v":4702.5515882100899},null,0.9,{"$f":"P7*K24*O24*P24*Q24*R24","v":4470.2455397525109},5.6699999999999998E-8,10,{"$f":"1/(1/Y6+((1/K6)-1)+(R3/Y3)*((1/O6)-1))","v":9.8973607038123163E-2},1,null,null,null,82.5,1,1,{"$f":"V15","v":469.24664223675285},{"$f":"S3-Z3","v":3.9999999999999994E-2},6,6.6978999999999997,null,{"$f":"($AD$6-$R$3-$AJ$6)/(PI()*R3)","v":12.372212653521039},{"$f":"Z3/S3","v":0.74025974025974028},{"$f":"AC6/(4*TAN((PI()/180)*X6/2))","v":1.710422187251323},{"$f":"((2/3)*AC6*AH6)+(AH6*AC6*(1+((AC6^2)/(48*AH6^2))))","v":19.735151261491499},{"$f":"AI6*TAN(M24)","v":0}]
["Cell Case Wall (m)","Sulphur Electrode Thickness (m)","Beta Alumina Electrolyte Thickness (m)","Safety Tube Wall (m)","Sodium electrode radius (mm)","Sodium Electrode Inner Diameter (Dsod) (m)","Safety Tube Outer Diameter (Dst,o) (m)","Safety Tube Inner Diameter (Dst,o) (m)",{"$nulls":7},{"$f":"AA6*AF6","v":5805.6192447038138},{"$nulls":18},"Kaligouru"]
[{"$f":"($A$5-$B$5)/2","v":2.0000000000000018E-3},{"$f":"($C$5-$D$5)","v":2.6999999999999996E-2},{"$f":"($E$5-$F$5)/2","v":1.4999999999999979E-3},{"$f":"0.00005","v":5.0000000000000002E-5},{"$f":"$G$5/2","v":2.8000000000000001E-2},{"$f":"G5-0.0001","v":5.5899999999999998E-2},{"$f":"F5","v":5.7000000000000002E-2},{"$f":"G8-D8","v":5.6950000000000001E-2},null,null,"Calculated  Flow Parameters",{"$nulls":14},"Temperature Dependent Fluid Parameters (Source:Therminol 66 High Temp. HTF Data Correlations)"]
[{"$nulls":10},"Re",null,null,null,"Pr","Nu,o","Nu,i","han,o (Wm-2k-1)","han,i (Wm-2k-1)","hconv(Wm-2k-1)",{"$nulls":4},"q'NaS (Wm-1)","µHTF(kgm-1s-1)","vHTF(m2s-1)",null,null,"cp,HTF(Jkg-1K-1)","ρHTF(kgm-3)","kHTF (Wm-1K-1)","Pr",null,"V (m/s)"]
["Cell Case Volume (m3)","Sulphur Electrode  Volume (m3)","Beta Alumina Electrolyte  Volume (m3)","Safety Tube  Volume (m3)","Sodium electrode Volume (m3)","TOTAL","Mullite- Alumina  Outer Diameter (Dba,o) (m)","Mullite- Alumina Inner Diameter (Dba,i) (m)",null,null,{"$f":"4*R6/(3.14159*(S3+Z3)*Z10)","v":819.32688443318148},null,null,null,{"$f":"(AD10*Z10)/AF10","v":789.93928766849285},600,300,{"$f":"P10*AF10/(S3-Z3)","v":1757.5350000000003},{"$f":"Q10*AF10/(S3-Z3)","v":878.76750000000015},12,{"$nulls":4},{"$f":"0.1*K15","v":3.5},{"$f":"AA10*AE10","v":5.7985377104244715E-2},{"$f":"EXP(586.375/(P4+62.5)-2.2809)/1000000","v":5.7875212794195219E-5},null,null,{"$f":"(0.003313*P4+0.0000008970785*POWER(P4,2)+1.496005)*1000","v":1596.2023706499999},{"$f":"-0.614254*P4-0.000321*POWER(P4,2)+1020.62","v":1001.9034800000001},{"$f":"-0.000033*P4-0.00000015*POWER(P4,2)+0.118294","v":0.117169},{"$f":"AD10*Z10/AF10","v":789.93928766849285},null,{"$f":"(R6/AE10)/(PI()*(POWER(S3,2)-POWER(Z3,2))/4)","v":1.1854669432924483}]
[{"$f":"$H$5*PI()*($A$5^2-$B$5^2)/4","v":2.796017461694919E-4},{"$f":"$H$5*PI()*($C$5^2-$D$5^2)/4","v":1.5586226552622359E-3},{"$f":"$H$5*PI()*($E$5^2-$F$5^2)/4","v":1.3783737767625206E-4},{"$f":"$H$5*PI()*$F$5*$D$8","v":4.4767695313654555E-6},{"$f":"H5*PI()*E8^2","v":1.2315043202071991E-3},null,{"$f":"0.101","v":0.10100000000000001},{"$f":"0.092","v":9.1999999999999998E-2}]
[]
[{"$nulls":10},"Solar Resource Calculation for SEGS SOLAR PLANT, KRAMER JUNCTION, USA- Based on Solar AHRAE Model",null,"Avg. Day June (Klein 1977)"]
["SS Cell Case Specific Heat (J/kgK)","Sulphur Electrode  Specific Heat (J/kgK)","Beta Alumina Electrolyte  Specific Heat (J/kgK)","SS Safety Tube   Specific Heat (J/kgK)","Sodium electrode Specific Heat (J/kgK)","TOTAL (mCp) (J/K)- Lagrangian","Sodium Electrode  Latent Heat of Fusion (J/kg)","Sodium (mLf) (J)",null,null,"Latitude_Loc.φ","Longitude_Loc.","Day of Year","B- Constant","Declination Angle(M. Acc)δ","Declination Angle δ","Air mass, m","Hour (24 hr)","Hour Angle AM/PM,ω","Zenith Angle θz","Sky Clearness # (Kramer Junction)","Direct Normal Irradiance(W/m2)",null,null,"TNaS (K)"]
[{"$f":"500","v":500},705,{"$f":"965.37","v":965.37},{"$f":"500","v":500},{"$f":"1230","v":1230},{"$f":"(F22/H5)*(CB33-CB32)","v":6.6529021595095355},{"$f":"113000","v":113000},{"$f":"E19*E11*G15","v":134706.86856154425},null,null,35,117,162,{"$f":"(M15-1)*(360/365)","v":158.79452054794518},{"$f":"(180/PI())*(0.006918-0.399912*COS(N15*PI()/180)+0.070257*SIN(N15*PI()/180)-0.006758*COS(2*N15*PI()/180)+0.000907*SIN(2*N15*PI()/180)-0.002697*COS(3*N15*PI()/180)+0.00148*SIN(3*N15*PI()/180))","v":23.037920505456292},{"$f":"23.45*SIN(360*(PI()/180)*((284+M15)/365))","v":23.085911002836561},{"$f":"1/COS(PI()/180*T15)","v":4.4550661909762068},6,{"$f":"(12-R15)*-15","v":-90},{"$f":"(180/PI())*ACOS(COS($K$15*PI()/180)*COS($O$15*PI()/180)*COS($S$15*PI()/180)+SIN($K$15*PI()/180)*SIN($O$15*PI()/180))","v":77.0286646518},{"$f":"1.075","v":1.075},{"$f":"COS(M24)*U15*1088*EXP(-0.205*Q15)","v":469.24664223675285},null,null,{"$f":"P4-(Y10/(S10*PI()*Z3))","v":29.988879115415351}]
[{"$nulls":17},{"$f":"5+(R15-5)*0.6","v":5.6}]
[]
["SS Cell Case Density (kg/m3)","Sulphur Electrode  Density (kg/m3)","Beta Alumina Electrolyte  Density (kg/m3)","SS Safety Tube  Density (kg/m3)","Sodium electrode Density (kg/m3)",null,"Sulphur Electrode  Latent Heat of Fusion (J/kg)","Sulphur (mLf) (J)"]
[{"$f":"8027","v":8027},1960,{"$f":"3200","v":3200},{"$f":"8027","v":8027},968,null,{"$f":"53600","v":53600},{"$f":"B19*B11*G19","v":163742.66167122943}]
[{"$nulls":12}," "]
["SS Cell Case (mCp) (J/K)","Sulphur Electrode  (mCp) (J/K)","Beta Alumina Electrolyte  (mCp) (J/K)","SS Safety Tube   (mCp) (J/K)","Sodium electrode (mCp) (J/K)","TOTAL (mCp) (J/K)","TOTAL (Lf-NaS cell) (J/kg)","TOTAL (mLf-NaS cell) (J)"]
[{"$f":"A19*A15*A11","v":1122.1816082512557},{"$f":"B19*B15*B11","v":2153.7047850413578},{"$f":"C19*C15*C11","v":425.80502171943505},{"$f":"D19*D15*D11","v":17.967514514135257},{"$f":"E19*E15*E11","v":1466.2783038114994},{"$f":"SUM(A22:E22)","v":5185.9372333376832},{"$f":"G15+G19","v":166600},{"$f":"H15+H19","v":298449.53023277369},null,null,"Mirror + Reciever Tube Parameters",{"$nulls":52},"Prof, it took close ton 50 mins to go through the 779.5 m, with \"delta x\"= 0.5m"]
[{"$nulls":10},"ρm (Mirror Refl.)","θ (Incidence Angle_degrees)","θ (Incidence Angle_radians)",null,"τgt (Glass Trans.)","Kθ (Incidence Angle Mod.)","γ (Mirror Shape Factor)","αat (Sol-Abs.-at)","αgt (Sol-Abs.-gt)","εgt (Emis.-gt), long wave"]
[{"$nulls":10},0.9,0,{"$f":"L24*PI()/180","v":0},null,0.97,{"$f":"COS(M24)-0.0003512*M24-0.00003137*M24^2","v":1},0.9,0.98,{"$f":"1-O24","v":3.0000000000000027E-2},0.9]
["SS Cell Thermal Conductivity (W/mK)","Sulphur Electrode Conductivity (W/mK)","Beta Alumina Electrolyte  Conductivity (W/mK)","SS Safety Tube  Conductivity (W/mK)","Sodium Electrode Conductivity (W/mK)","Mullite Alumina Tube Conductivity (W/mK)","Battery Tube Conductivity (W/mK)",null,null,null,"* Assumption 1: Glass Tube reflectivity = 0"]
[{"$f":"16","v":16},0.20499999999999999,3,{"$f":"16","v":16},140,20,16,115.2339089797359,360.5869751494958,null,"* Assumption 2: Convective Heat Loss in PECT Tube Annulus is negligable "]
[{"$nulls":4},"Current Row",null,"Tssc (Initial)","Time_hr (initial)","Thtf_i,j (Initial)",null,"* Assumption 3: Possible Values for \"Nu\" and \"h\" are assumed for this initial calculation"]
[{"$nulls":4},"ROW 1592 OF 1592",null,22,6,22,{"$nulls":10},{"$f":"K32+J32","v":246.62576256642973}]
[{"$nulls":6},"Next hr",7,{"$nulls":55},"Cp(Na) Equation: (Foust, 1972) - The Sodium Sulphur Battery"]
[{"$nulls":18},"Changing Column","Desired Goal seek Column",{"$nulls":5},"Adjusted Value"]
["HTF Velocity, (m/s)","Loop Position, X (m)","Lagrangian Time, t' (s)","Cp (htf), JKg-1 K-1","Thtf_x (°C)","RHS-Qat(P1)","RHS-Qat(P2)","RHS-Co.eff-1","RHS-Co.eff-2","RHS- Qat","LHS-Qat","LHS-RHS","Eat","Shape Factor (at-gt)","kat (W/mK)-321 SS","q'sol.abs,gt (Wm-2)","q'cond,at (W/m)","q'Lrad,at (Wm-1)","q'Ltot,gt (Wm-1)","Col. Eff (%)","Tat,i (K)","Tat,i (°C)","Tat,o (K)","Tat,o_x (°C)","q'sol.abs,at (Wm-2)","Tgt,i (K)","Tgt,i_x (°C)","Tgt,o (K)","Tgt,o_x (°C)","TNaS (K)","TNaS (°C)","µHTF(kgm-1s-1)","vHTF(m2s-1)","ρHTF(kgm-3)","kHTF (Wm-1K-1)","Pr","Re",null,null,null,"hann,o",null,"hann,i","Uo(NaS) (W/m2K)","cp,air(Jkg-1K-1)","ρair(kgm-3)","kair (Wm-1K-1)","µair(kgm-1s-1)","Pr(air)","γ(m2/s)","Gr","Ra","Nufree-conv","hfree-conv","(∂Thtf/∂x'|t')_i","QNaS (W)","(∂Tssc/∂t'|x')_i","Qu_htf (W)","Qtot (W)","Cpw, JKg-1 K-1","µw(kgm-1s-1)","kw (Wm-1K-1)","Prw","Re*","fann","k1","Nu (V. Gnielinski)","Nuo","Nui","Cp(Na)","Cp(S)",null,"Time (hr)","Hour Angle","Zenith Angle","Air mass","DNI (W/m2)","Conc. DNI (W/m2)","qsol.abs,at (W/m2)","x'","(∂Thtf/∂x'|t')_init"]
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[null,null,"Loop Time (Minutes)"]
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