Stability of Darcy thermosolutal convection in bidispersive porous medium with reaction

Abstract

Analysis of fluid flow in a bidispersive medium with reactions is explored. The Darcy model is used in the momentum equation with the density being a linear function in temperature and salt concentration. Two cases are regarded which are heated below and salted above system and heated and salted below system. It is presumed that the equilibrium solute concentration follows a linear relationship to temperature. A linear instability and nonlinear stability theories are conducted, and from the outputs of the analysis, the Chebyshev collocation approach is used to solve the resulting eigenvalue systems. The effects of the chemical reaction and other parameters on temperature Rayleigh number are described graphically.

Soret effect on stability of Darcy problem in a bidispersive porous medium with an exothermic chemical surface reaction

“…Subsequently, a plethora of studies have been published, addressing various convection issues within bidispersive porous media, such as those in Refs. [3][4][5][6][7][8][9][10][11]. These studies extensively explored the variations in velocity and temperature across macro and micropores.…”

A Properties of Mandelbrot Set of Quartic Rational Maps

“…In this study, some properties of the dynamics of Quartic rational functions for λ = 1 are presented. To see more [4], [5], [6], [7], [8] 1 Definitions and Prerequisites:…”