A Numerical Study of Non-Darcian Natural Convection in a Vertical Enclosure Filled With a Porous Medium

Abstract

A numerical study of n o n -J I i a n natuml convection in a vertieal enclosure f l e d with a porous medium is performed. The flow is modeled using the Brinkman-Forchheimerextended Darcy equations. The governing equations are solved with the SIMPLER a l p rirhm and good agreement with previously reported numerical and experimental results is found. An order of magnitude analysis and the numerical results demonshute the impor tance of m n -J I i a n effects. For high M y numbers (Da > lo-'), both extensions are of the same order of magnitude and must be used simultaneously. I n oddirion, Forchheimer's extension must be included for Pr s 1.0 and all J I y numbers. FEnaly, Nusselt number comlclrions an presented for three dijjcrent mnges of the DMy number covering wide mnges of the governing pornmeters.

Natural Convection in a Square Porous Cavity with Sinusoidal Temperature Distributions on Both Side Walls Filled with a Nanofluid: Buongiorno’s Mathematical Model

“…The present models, in the form of an in-house computational fluid dynamics code, have been validated successfully against the works of Walker and Homsy (1978), Bejan (1979), Beckermann et al (1986), Gross et al (1986), Moya et al (1987), Manole and Lage (1992), and Baytas and Pop (1999) for the steady-state natural convection in a square porous cavity with isothermal vertical and adiabatic horizontal walls. Table 1 shows the values of the average Nusselt number computed for various Rayleigh numbers in the range of 10-10 4 in comparison with other authors.…”

“…(17) and (18) reduce to those of Walker and Homsy (1978), Bejan (1979), Beckermann et al (1986), Gross et al (1986), Moya et al (1987), Manole and Lage (1992), and Baytas and Pop (1999).…”

Numerical Study of 2-D Natural Convection in a Square Porous Cavity: Effect of Three Mode Heating

“…Bejan [20], Beckerman et al [21], Moya et al [22]; Manole and Lage [23], Baytas and Pop [9] for the steady state natural convection in a square porous cavity with isothermal vertical and adiabatic horizontal walls. Table 1 shows the values of the average Nusselt number computed for various Rayleigh numbers in the range 3 10 10 − in comparison with other authors.…”

Effects of temperature-dependent viscosity on Bénard convection in a porous medium using a non-Darcy model

“…Involving various presumptions and simplifications, formulating the thermal energy equation is a continuous source of dispute and discussion as reflected in the large number of papers on the topic [10][11][12][13][14][15][16][17][18][19][20][21][22][23].…”