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EES Ver. 8.400: #91: Educational version distributed by McGraw-Hill
"datos"
T_a_in=25 [C]
T_a_out=60 [C]
m_dot_a=0,2 [kg/s]
c_p_a=4,18 [kJ/kg-C]
m_dot_geo=0,3 [kg/s]
c_p_geo=4,31 [kJ/kg-C]
D=0,008 [m]
U=0,55 [kW/m^2-C]
"calculos"
Q_dot=m_dot_a*c_p_a*(T_a_out-T_a_in)
Q_dot=m_dot_geo*c_p_geo*(T_geo_in-T_geo_out)
DELTAT_1=T_geo_in-T_a_in
DELTAT_2=T_geo_out-T_a_out
DELTAT_lm=(DELTAT_1-DELTAT_2)/ln(DELTAT_1/DELTAT_2)
Q_dot=U*A*DELTAT_lm
A=pi*D*L
SOLUTION
Unit Settings: [kJ]/[C]/[kPa]/[kg]/[degrees]
A = 0,3687 cp,a = 4,18 [kJ/kg-C] cp,geo = 4,31 [kJ/kg-C]
D = 0,008 [m] T1 = 175 T2 = 117,4
Tlm = 144,3 L = 14,67 ma = 0,2 [kg/s]
mgeo = 0,3 [kg/s] Q = 29,26 Ta,in = 25 [C]
Ta,out = 60 [C] Tgeo,in = 200 [C] Tgeo,out = 177,4
U = 0,55 [kW/m2-C]
No unit problems were detected.
Parametric Table: Table 4
Tgeo;in L
[C]
Run 1 100 53,73
Run 2 111,1 40,64
Run 3 122,2 33
Run 4 133,3 27,89
Run 5 144,4 24,19
Run 6 155,6 21,39
Run 7 166,7 19,18
Run 8 177,8 17,39
Run 9 188,9 15,92
Run 10 200 14,67
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EES Ver. 8.400: #91: Educational version distributed by McGraw-Hill
55
50
45
40
35
L
30
25
20
15
10
100 120 140 160 180 200
Tgeo;in [C]