Premium
The onset of Darcy‐Brinkman convection in a porous medium layer with vertical throughflow and variable gravity field effects
Author(s) -
Yadav Dhananjay
Publication year - 2020
Publication title -
heat transfer
Language(s) - English
Resource type - Journals
eISSN - 2688-4542
pISSN - 2688-4534
DOI - 10.1002/htj.21767
Subject(s) - throughflow , convection , rayleigh number , natural convection , mechanics , darcy number , porous medium , gravitational field , darcy's law , geology , geophysics , physics , porosity , classical mechanics , geotechnical engineering
In this study, the influence of constant throughflow and varying downward gravity field on the onset of Darcy‐Brinkman convection in a porous medium layer is examined numerically. We considered two cases of gravity field variations: (a) linear and (b) parabolic. A higher‐order Galerkin‐weighted residual technique and QZ procedure are used to get the numerical solution for the entire Darcy numbers amid Da = 0 (Horton‐Rogers‐Lapwood convection) and Da → ∞ (Rayleigh Bénard Convection). It is obtained that the throughflow, the downward gravity field and the Darcy number are to holdup the beginning of convection. It is also obtained that the system is more stable for linear variation of gravity field in comparison to the parabolic variation.