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50 Components design function of the separation between tubes, DO,FIN = (0.5SCOL)2 + S2 , (3-43) where SCOL and SROW are the transversal and longitudinal pitches respectively. The present study considers a rotated square staggered arrangement, which implies that the longitudinal pitch is half the transversal one. The area AFIN corresponds to the fins, AI to the internal surface of the tubes and ATUBE to the external surface of the tubes without fins, (3-44) (3-45) (3-46) (3-47) (3-48) (3-49) (3-50) AFIN = NROWNCOL S AI = πDILTUBENROWNCOL, LTUBE πDO 2 SROWSCOL − 4 , LTUBE − S δ NROWNCOL. ROW FIN LTUBE FIN FIN ATUBE = πDO The fin efficiency, ηFIN, for a straight fin with constant conduction cross section is where m is defined as ηFIN = tanh(mLFIN), mLFIN 2αC m=λδ. FIN FIN The equivalent fin height, LFIN, is S S 2SCOLSROW π D LFIN=0.5 2 COL ROWS−DO 1+0.35ln π O The air side heat transfer coefficient is calculated as αC = NuλC, DHD where λC stands for the air thermal conductivity. The hydraulic diameter, DHD, is function of the geometry of the heat exchanger, DHD = 4(SCOL − DO)(SFIN − δFIN) . (3-51) 2(SCOL − DO) + 2(SFIN − δFIN) The calculation of the Nusselt number for the air side is done with the procedures of two different authors, as explained in the next section. Air side heat transfer coefficient Two expressions are used to calculate the air side heat transfer coefficient. The first one, given by Ferreira [7], calculates the Nusselt number as a function of the Reynolds and Prandtl numbers, . J.S. Bahamonde Noriega Nu = 0.167Re0.63Pr0.33. (3-52) Master of Science ThesisPDF Image | Design method for s-CO2 gas turbine power plants
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