The effects of the Soret and slip boundary conditions on thermosolutal convection with a Navier–Stokes–Voigt fluid

Abstract

In this paper, we study the problem of thermosolutal convection in a Navier-Stokes-Voigt fluid when the layer is heated from below and simultaneously salted from above or below. This problem is studied under the effects of Soret and slip boundary conditions. Both linear and nonlinear stability analyses are employed. When the layer is heated from below and salted from above, the boundaries exhibit great concordance, resulting in a very narrow region of probable subcritical instabilities. This proves that linear analysis is reliable enough to forecast the beginning of convective motion. Chebyshev collocation technique and QZ algorithm have been used to solve systems of linear and nonlinear theories. For thermal convection in a dissolved salt field with a complex viscoelastic fluid of the Navier-Stokes-Voigt type, instability boundaries are computed. When the convection is of the oscillatory type, the Kelvin-Voigt parameter is observed to play a crucial role in functioning as a stabilizing agent. This effect's quantitative size is shown.

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

“…For further details, interested readers may refer to Refs. [53][54][55][56][57][58][59]. The initial step in applying this method involves transforming the solution domains of 𝑢 𝑓 , 𝑢 𝑝 , 𝜃 and 𝜙 to (−1, 1), which corresponds to the domain of the Chebyshev polynomials of the first kind, 𝑇 𝚤 (𝑧).…”

“…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.…”