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While Molerus is close to Grewals’s predictions in the case of the 87 μm pa c a e e Energies 2022, 15, 1316 Figures 22 and 23 show the comparisons of the LINI and TRINI results to th is very far away in the case of 210 μm particles. This demonstrates the great dis is very far away in the case of 210 μm particles. This demonstrates the great disc between correlations often encountered when trying to predict heat transfer in between correlations often encountered when trying to predict heat transfer in a bed. bed. Figures 22 and 23 show the comparisons of the LINI and TRINI results to th correlations: 17 of 22 correlations: Figure 22. Comparison of LINI results, 146 μm particles. Figure 22. Comparison of LINI results, 146 μm particles. Figure 22. Comparison of LINI results, 146 μm particles. FiFgigure 23..CComompapriasornisofnLIoNfILreIsNulItsr,e1s4u6 lμtms,p1a4r6ticμlem. particle. Figure 23. Comparison of LINI results, 146 μm particle. Although the correlations seem closer to the measurements for higher degrees of fluidization, they all overestimate the heat transfer at lower degrees of fluidization. The range between predicted values is still very larger for reliable design considerations. The main findings of the experiments are: • The narrower tube spacing, referred to as the sandTES tube spacing with a relative horizontal pitch of 2.0 and a relative vertical pitch of 2.5, has a slightly better perfor- mance than the regular tube spacing with a relative pitch of 3.1 in both the horizontal and vertical direction. This confirms the conclusion drawn from the CPFD simulations by Schwaiger [12] (p. 170). This may be explained by tubes in the bundle increasing the local bubble frequencies at tubes above them by redirecting the bubbles towards them. An increased bubble frequency is related to higher HTCs in the correlation by Mickley and Fairbanks, and a narrower tube spacing has a better chance of individual tubes influencing the local bubble frequency at other tubes than a wider spacing. • Finned tubes with a fin pitch of 9 mm and fin thickness of 2 mm in a transversal arrangement in respect to the sand mass flow show a 3–6 times greater (virtual) HTCPDF Image | Heat Transfer between Finned Tubes
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