2021/12/21 by C. Hemanth Kumar, B. M. Shankar, I. S. Shivakumara
Engineering · #Field-Flow Fractionation Techniques #Heat and Mass Transfer in Porous Media #Nanofluid Flow and Heat Transfer
paper · doi:10.1115/1.4053331
openalex publication_date 2021/12/21 · crossref created 2021/12/21 · crossref issued 2022/02/07 · crossref published 2022/02/07 · crossref published-online 2022/02/07 · crossref published-print 2022/04/01 · crossref deposited 2023/11/14 · openalex created_date 2025/10/10 · crossref indexed 2026/07/29 · openalex updated_date 2026/07/30
Abstract The onset of thermosolutal convection in a fluid-saturated porous medium in the presence of a horizontal pressure gradient and the Soret effect under the two-temperature model of local thermal nonequilibrium (LTNE) is investigated. The Darcy model with the time-dependent velocity term in the momentum equation is employed together with the Oberbeck–Boussinesq approximation. The eighth-order eigenvalue differential equation obtained by employing linear stability analysis is solved using Galerkin's method of weighted residuals (GMWR) and also analytically. The onset of convection instills through oscillatory rather than stationary mode, and the critical stability parameters for the same are determined. The horizontal pressure gradient reinforces together with the solute concentration gradient and the scaled interphase heat transfer coefficient in evidencing mixed behavior on the criterion for the onset of oscillatory convection. Besides, the similarities and differences between the results of thermal and thermosolutal LTNE porous mixed convection are discerned.