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.
Evaporation process inside diffuser filled with porous medium is numerically investigated. The governing equations have been made dimensionless form and discretised using Finite Volume Method (FVM). Effects of the relevant parameters on the temperature distribution and liquid saturation have been carefully analysed. Numerical results showed that the smoothing treatment of effective diffusion coefficient promote the undesired "jump" in the temperature profile. Furthermore, the inlet Reynolds number, heat flux, outlet radius, length of spread section, and pipe length have a strong effect on the beginning and ending of evaporation process, while porosity and Darcy number have slight influence. Finally, the investigation exhibits a helpful instrument for structuring a diffuser evaporator with goal to hold the system under safety conditions.
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