Malaysian Journal of Mathematical Sciences, June 2025, Vol. 19, No. 2
Rotating Thermosolutal Convection for the Darcy-Brinkman Model with Variable Gravity and Chemical Reaction Influences
Noon, N. J.
Corresponding Email: najatj.noon@gmail.com
Received date: 4 April 2024
Accepted date: 26 December 2024
Abstract:
The effect of varying gravity and chemical reaction on rotating thermosolutal convection in a Darcy-Brinkman porous substance is tested. The linear instability theory based on fixed border conditions when the layer is heated and salted from below has been employed. Three forms of varying gravitational are discussed: linear function, parabolic function, and exponential function. The related system has been solved by applying the $D^2$ Chebyshev-Tau technique. Against the influence of varying gravity, rotation, Brinkman coefficient, chemical reaction, and salt Rayleigh number, the critical Rayleigh number has been graphically displayed. In addition, the results indicate that the investigated impacts have a significant impact on locating the convection instability threshold.
Keywords: rotating thermosolutal convection; Darcy-Brinkman model; variable gravity effect and chemical reaction effect
