General Correlations for Laminar Flow Friction Loss and Heat Transfer in Plain Rectangular Plate-Fin Cores

Lin, Kuan-Ting; Shi, Dantong; Jog, Milind A.; Manglik, Raj M.

doi:10.1115/1.4048091

General Correlations for Laminar Flow Friction Loss and Heat Transfer in Plain Rectangular Plate-Fin Cores

Journal Article · Fri Sep 18 00:00:00 EDT 2020 · Journal of Heat Transfer

DOI:https://doi.org/10.1115/1.4048091· OSTI ID:1797982

Lin, Kuan-Ting ^[1]; Shi, Dantong ^[2]; Jog, Milind A. ^[2]; Manglik, Raj M. ^[2]

Univ. of Cincinnati, OH (United States); University of Cincinnati
Univ. of Cincinnati, OH (United States)

In this paper, new generalized correlations for predicting the average fanning friction factor f and average Nusselt number Nu for laminar flow in plain plate-fin compact cores of rectangular cross section are presented. These are based on extended experimental data, as well as three-dimensional computational simulations, obtained for a broad range of fin density and geometrical attributes. The results indicate that while the fully developed forced convection scales only with the interfin channel cross-sectional ratio α (fin spacing by fin height), the entrance region hydrodynamic and thermal performance is additionally a function of the fin-core length L, flow Reynolds number Re, and fluid Prandtl number Pr. The developing flow and convection is further shown to scale as: (fRe)~(L/d_hRe)^1/2, and Nu ~(L/d_hRe)^1/2Pr^1/3Φ(α), where f, Re, and Nu are all based on the hydraulic diameter dh of the interfin flow channel. Generalized correlations for both (fRe) and Nu are developed by the corresponding scaling of the forced convection behavior and asymptotic matching of the entrance or developing flow (short fin-core flow length) and the fully developed flow (large fin-core flow length) region performance. Finally, the predictions from these correlations are found to be within ±15% of all available experimental data for air, water, and glycol (0.71 ≤ Pr ≤ 10), and fin cores with 0 < α ≤ 1.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Cincinnati, OH (United States)

Sponsoring Organization:: USDOE Advanced Research Projects Agency - Energy (ARPA-E)

Grant/Contract Number:: AR0000577

OSTI ID:: 1797982

Journal Information:: Journal of Heat Transfer, Journal Name: Journal of Heat Transfer Journal Issue: 12 Vol. 142; ISSN 0022-1481

Publisher:: ASMECopyright Statement

Country of Publication:: United States

Language:: English

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