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56 Components design The energy transferred between hot and cold sides is calculated with the overall heat transfer coefficient, Q ̇ (i, j) = U(i, j)A(i, j)(TH(i, j) − TC(i, j)), (3-79) where A(i, j) stands for the heat transfer area, A(i, j) = LTUBE , (3-80) NCV where NCV stands for the number of elements or control volumes per tube. The specific thermal energy for the hot side is calculated with the CO2 mass flow in each tube, qH(i, j) = Q ̇ (i, j) , (3-81) fH where fH is the tube mass flow. The enthalpy leaving the current control volume for the CO2 is calculated with the enthalpy at the first node and the specific thermal energy, hH(i, j+1) = hH(i, j) + qH(i, j). (3-82) The CO2 pressure drop is calculated with the procedure used in the straight channels of the regenerators in Section 3-1-4. Once the pressure loss is obtained, the pressure of the CO2 leaving the current control volume is obtained, PH(i, j+1) = PH(i, j) + ∆PH(i, j). (3-83) Finally, the hot side temperature in the subsequent element can be obtained as a function of the pressure and the enthalpy, TH(i, j+1) = T (PH(i, j+1), hH(i, j+1)), (3-84) The air temperature in the next air node can be calculated from the energy balance in the element, TC(i+1, j) = TC(i, j) + Q ̇ C(i, j) . (3-85) fC(i, j)CP,C The heat capacity is considered constant and its value is calculated as a function of the properties at the inlet of the first element, C =C P ,T . (3-86) P,C P C(1,1) C(1,1) The air side pressure drop is not considered in the discretization procedure. It is calculated for the entire air mass flow by means of the friction factors given by equations (3-70) and (3-71). Number of tubes As shown later, the number of passes, rows and the tube length are inputs used in the optimization procedure. The calculation of the number of tubes is based on the average J.S. Bahamonde Noriega Master of Science ThesisPDF Image | Design method for s-CO2 gas turbine power plants
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