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A thermal nonequilibrium model to natural convection inside non‐Darcy porous layer surrounded by horizontal heated plates with periodic boundary temperatures
Author(s) -
Alomar Omar Rafae,
Mohamed Ibrahim A.,
Yousif Qais A.,
Abd Hareth M.
Publication year - 2021
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.22162
Subject(s) - nusselt number , thermodynamics , natural convection , non equilibrium thermodynamics , heat transfer , thermal conductivity , heat transfer coefficient , rayleigh number , materials science , darcy number , mechanics , thermal , physics , turbulence , reynolds number
This article displays a numerical investigation on natural convection within non‐Darcy porous layer surrounded by two horizontal surfaces having sinusoidal temperature profiles with difference in phase and wave number. The Darcy–Brinkman–Forchheimer model and local thermal nonequilibrium condition have been employed. Simulations have been performed for wide ranges of inertia coefficient (10 –4 ≤ Fs / Pr * ≤ 10 –2 ), thermal conductivity ratio (0.1 ≤ K r ≤ 100), phase difference (0 ≤ β ≤ π), modified Rayleigh number (200 ≤ Ra * ≤ 1000), wavelength (3 ≤ k ≤ 12), and nondimensional heat transfer coefficient (0.1 ≤ H ≤ 100). Results demonstrate that Nusselt number highly relies on Fs / Pr *, K r , β, Ra *, and k as compared to H . A considerable enhancement in fluid, solid, and overall Nusselt numbers has been observed with diminishing Fs / Pr * and β and increasing k, K r , and H . The raising in β has a significant impact on Nu for smaller k and this effect is almost ignored when k > 12. The increase in Ra *, K r , β , and H and decrease in Fs / Pr* and k acts to reduce the severity of nonequilibrium zone and increase the size of thermal equilibrium zone. The influence of H on nonequilibrium area is more evident than K r .