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between 2300 and 5000 is used as a transitional region, where the Nusselt number is evaluated by linear interpolation, i.e.: calculated from: Nu=4.089+NuG|Re=5000 −4.089(Re−2300) 5000 − 2300 (3-19) where NuG|Re=5000 is the Nusselt number from the Gnielinski correlation evaluated at Reynolds number of 5000. The Nusselt number for Pb-Bi was calculated from [Seban et al., 1950] who proposed for liquid metal flowing in pipes the following expression for the Nusselt number Nu = 5 + 0.025(Re Pr )0.8 (3-20) Once the Nusselt number is known the heat transfer coefficient h (W/m2-K) can be h = Nu ⋅ k deq (3-21) The heat transfer model for straight channels is well established and the Gnielinski correlation is one of the most accurate. It was recommended by Olsen [Olsen, 2000] for use with supercritical CO2 with correction for property gradients between the core fluid and the wall, by applying a density ratio and specific heat ratio. Since the simple Gnielinski correlation gives more conservative results and the property gradients vanish at temperatures far from the critical point (both recuperators and part of the pre-cooler) the simple Gnielinski correlation was used. For wavy channels the situation is more difficult. For the extended heat transfer surfaces used in compact heat exchangers usually the j factor from experiment is used or some sort of correlation involving the j factor is used. As experimental data on the PCHE are not publicly available Hesselgraves [Hesselgraves 2001] recommends using the following formula that was developed for corrugated planar channels: 48PDF Image | Advanced Nuclear Power Technology Program A Supercritical Carbon Dioxide Cycle for Next Generation Nuclear Reactors
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