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3-1 Regenerators 39 CO2 under supercritical pressure and cooling conditions. They compare the results with several correlations and conclude that the Gnielinski equation gives results in good agreement with experimental data, within a difference of 20% at conditions far from the pseudocritical temperature. Additionally they report Nusselt numbers mostly overpredicted by values with an error close to 60% when the CO2 is close to the pseudocritical region. Pettersen et al. [60] tested the Gnielinski correlation for supercritical CO2 under cooling conditions for straight microchannel tubes. This study has good agreement with experimental results, with maximum errors of 15% in the calculation of the heat transfer coefficient. Wavy channels The literature regarding the detailed performance of wavy channels is scarce because of little information available from the manufacturer. Song [4] makes measurements in a PCHE and calculates the correspondent overall heat transfer coefficients. However, no comparison with analytical correlations is done. Carlson et al. [61] performs measurements of heat transfer and pressure in a PCHE with wavy channels and compares the results with several analytical expressions. They conclude that the Dittus Boelter and Gnielinski correlations underpredict the Nusselt number. Carlson proposes scaling the correlations with a factor of 3.8, which improves the results. Another approach is related with the Colburn factor, which is usually used to calculate the Nusselt number for compact heat exchangers, j= Nu , (3-14) 1 number in the channels, j = 0.125Re−0.36. (3-15) This correlation is valid for wavelength to width ratios close to 7. Kim et al. [39] test and confirm the validity of this expression for the mentioned wavelength to width ratio. Addition- ally, they develop correlations to predict the Nusselt number depending on the geometry of the channels. Although this study is performed using a Helium-Helium test loop, the results are used in this work since it is one of the few studies that develop correlations of the Nusselt number as a function of the geometry of the PCHE and the Reynolds number of the working fluid. The results of this analysis are expressed as a polynomial for the Nusselt number, Nu = 4.089 + cRed, (3-16) where c and d are coefficients depending on the geometry of the PCHE. Notice how the lower the Reynolds number, the closer the Nusselt number to 4.089, which is the value recommended by Hesselgraves for laminar flow. A recent study is carried out by Ngo et al. [42] with a modified Dittus Boelter correlation, Nu = 0.1696Re0.629Pr0.317. (3-17) This expression is valid for Reynolds number between 3500 and 22000. A transition region is defined for lower Reynolds numbers and the calculation of the Nusselt number in this case is performed using an interpolation similar to the one of equation (3-13). RePr3 Hesselgraves [52] gives an expression that correlates the Colburn factor with the Reynolds Master of Science Thesis J.S. Bahamonde NoriegaPDF Image | Design method for s-CO2 gas turbine power plants
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