Thermal Instability of a Maxwell Fluid Saturated Porous Layer With Chemical Reaction

Nonlinear instability analysis of internally heated convection in a porous layer with the impact of magnetic field and variable gravity

“…The influence of variable gravity field, internal heat source, and magnetic field on Darcy‐Bénard convection is studied. The differentiable eigenvalue problem for linear and nonlinear theory is examined using the bvp4c routine in MATLAB R2020b 29,30 . The effect of different physical parameters on critical Rayleigh number, $$R{a}_{c}$$, and critical wave number, $${q}_{c}$$ are shown in Figures 1–6 and Tables 1–3.…”

“…The differentiable eigenvalue problem for linear and nonlinear theory is examined using the bvp4c routine in MATLAB R2020b. 29,30 The effect of different physical parameters on critical Rayleigh number, Ra c , and critical wave number, q c are shown in Figures 1-6 and Tables 1-3. The following three cases of gravity field variance are considered.…”

Dissolution-Driven Convection in a Porous Medium Due to Vertical Axis of Rotation and Magnetic Field

“…In Figures 5-10, solid and dotted lines represent the stationary and oscillatory convection, respectively. The following physically realistic range of these parameters is considered: 0 ≤ Va ≤ 20 [37], 0 ≤ Ta ≤ 50 [22], 0 ≤ Ha ≤ 0.9 [40], and 0 ≤ Dm ≤ 20 [23].…”

“…Stability techniques that look at and broaden the way the solute's dissolution influences the thermal convection and prolongs this evaluation by the use of an asymptotic energy method, Galerkin and spectral techniques, are expecting the structure of the preliminary bifurcation. Darcy, Darcy Brinkmann, and Darcy Lapwood Brinkmann's models were used to study porous, anisotropic porous, and sparsely packed porous medium over multiple diffusive convection [22][23][24][25].…”

Double-Diffusive Convection in Bidispersive Porous Medium with Coriolis Effect

“…On the other hand, double-diffusive instability in porous media is an interesting subject of research due to its applications in different industries, such as the migration of solutes in watersaturated soils, the spread of pollutants, drying processes, evaporative cooling of high-temperature systems, and solar ponds [8]. The study of thermosolutal convection of a fluidsaturated porous medium has attracted the attention of many researchers [20][21][22][23][24][25][26][27][28]. In addition, Straughan [29] developed a model for double-diffusive convection in a BDPM.…”