Natural convection in porous media under cross temperature and concentration gradients with Boundary Element Method

Abstract

Double-diffusive natural convection in a horizontal enclosure is studied numerically with the use of Boundary Element Method. The enclosure is heated and cooled along vertical walls, while horizontal walls are maintained at different concentration values. The Brinkman model is used to simulate the fluid flow through porous media, the density variation is taken into account by the Boussinesq approximation. The governing parameters of the problem are the Darcy number, porous Rayleigh number, Lewis number and buoyancy coefficient. Different flow regimes for thermal and solutal dominated flows are demonstrated for different values of governing parameters. The results are compared to those in published studies, obtained with other approximative methods.

Thermosolutal Convection of Natural and Anti-Natural Solutions Through an Angled Cavity Under Cross Gradients in Temperature and Concentration

“…Additionally, they stated that at threshold values of 𝑁, the solutal buoyancy forces brought on by horizontal concentration gradients may eliminate the numerous solutions provided by pure thermal convection. According to research by Kramer et al, [21], distinct flow regimes were observed for various values of the governing parameters for DDNC in an enclosure exposed to cross GsCT (gradients of concentration and temperature). Chamkha et al, [22] looked into the scenario of a binary fluid mixture flowing laminarly thermo-solutally in a porous enclosure that was inclined.…”