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3-1 Regenerators 43 The length of the section is calculated with the perimeter of the channel, L(i) = A(i) , (3-35) pCH where pCH is the channel diameter. Once the length is known, it is possible to calculate the friction pressure drop of the element by means of equation (3-20). The fluid pressure in the next node is a function of the fluid pressure and the pressure loss in the current control volume, P(i+1) = P(i) + ∆P(i). (3-36) The mathematical sign of the pressure drop, ∆P(i), is positive for the hot side and negative for the cold side. The total pressure drop in the regenerators is therefore NCV ∆PRG = ∆PLC,IN + ∆PLC,OUT + ∆PFR(i). (3-37) i The local losses ∆PLC,IN and ∆PLC,OUT are calculated with equation (3-18). The last member in expression (3-37) corresponds to the summation of the friction losses in each element. The specific enthalpy change in the control volume can be calculated with the properties at the inlet of the node, ∆h(i) = Q ̇ (i) . (3-38) f The enthalpy in the next node is calculated with the enthalpy change and the enthalpy at the current node, h(i+1) = h(i) + ∆h(i). (3-39) The procedure indicated above is valid for both hot and cold sides of the control volume. Once the pressure and temperature of the next node are obtained, the calculation procedure is repeated for the next element until the energy balance is performed in all the control volumes. Regenerators total pressure drop The travel length of the regenerator and consequently the total pressure drop depend on the number of channels in equation (3-34). Thus, it is possible to vary this value until a specific pressure drop is matched. This is useful since the total pressure drop of the regenerators is calculated with information from the previous chapter, as shown in the following. The thermodynamic analysis of Chapter 2 places the pressure losses in the turbine and the compressor. In order to obtain the losses per component it is assumed that the pressure drop of a specific component is proportional to its load, ∆P =∆P Q ̇(i) . (3-40) (i) TOT Q ̇ TOT The total pressure drop in the cold or hot side of the cycle is ∆PTOT, Q ̇ i is the power of each component (heater, regenerator, cooler, etc.) and Q ̇ TOT is the total load on the cold or hot Master of Science Thesis J.S. Bahamonde NoriegaPDF Image | Design method for s-CO2 gas turbine power plants
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