Couple stresses effect on instability and nonlinear stability in a double diffusive convection

Harfash, Akil J.; Meften, Ghazi Abed

doi:10.1016/j.amc.2018.08.045

Cited by 19 publications

(12 citation statements)

References 31 publications

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“…Now, we utilize the Chebyshev collocation method to approximate system (20) to (22), cf. [32][33][34] To use this method, system (20) to (22) transfer to a system of second and thirdorder derivatives only. Let DW Ξ = , then Equation (20) to (22) become four equations of second-order derivatives.…”

Section: Numerical Techniquementioning

confidence: 99%

Slip boundary condition effect on double‐diffusive convection in a porous medium: Brinkman Model

Challoob

Mathkhor

Harfash

2019

Heat Trans. Asian Res.

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The model of double-diffusive convection in a porous medium layer was analyzed using the Brinkman model and concentration based on an internal heat source. Linear instability analysis of the model was performed. Particularly, we analyzed the effect of slip boundary conditions on the instability of the system. We analyzed when the instability started and computed the critical Rayleigh number as a function of the slip coefficient. K E Y W O R D S Brinkman model, double-diffusive, slip boundary conditions, linear instability, Rayleigh number, slip boundary conditions

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Section: Numerical Techniquementioning

confidence: 99%

Slip boundary condition effect on double‐diffusive convection in a porous medium: Brinkman Model

Challoob

Mathkhor

Harfash

2019

Heat Trans. Asian Res.

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“…Using the Chebyshev‐tau method, the impacts of the chemical reaction are shown on the reactive problem and obtained that the reaction parameters have both stabilizing and destabilizing natures. Using linear, nonlinear, and weighted energy analysis, Harfash and Meften 16 analysed the effect of different flow governing parameters on the stability of binary mixture in a fluid layer. Srivastava and Bera 17 scrutinized the impact of reaction mechanism on a reactive problem, that occurs due to diffusion of both heat and salts.…”

Section: Introductionmentioning

confidence: 99%

Stability of a chemically reacting double‐diffusive fluid layer in a porous medium

Mahajan

Tripathi

2021

Heat Trans

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In the present study, double‐diffusive convection with chemical reaction in a Darcy–Brinkman porous layer, heated and salted below, has been investigated. Linear analysis is performed with the help of the normal mode technique, and nonlinear analysis is performed with the help of the energy method. The effect of the thermal contribution of the chemical reaction is found to be more effective on the convective instability in comparison with the solutal contribution of the chemical reaction. The reaction parameters k 1 , k 2 enhance the onset of convection in the stationary mode, however, in oscillatory mode, the onset of convection is seen to be delayed. The effect of solute Rayleigh number R s , Darcy number D a , is depicted graphically.

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“…Recently, Harfash and Meften 18 analyzed the variation of couple stress forces and chemical reactions in a horizontal layer with no‐slip boundary conditions. Harfash and Meften 19 included two competing effects on the system (temperature and salt gradient) wherein the density is supposed to be linear in concentration and quadratic in temperature.…”

Section: Introductionmentioning

confidence: 99%

Unconditional nonlinear stability for double‐diffusive convection with temperature‐ and pressure‐dependent viscosity

Mahajan

Tripathi

2020

Heat Trans

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A linear and nonlinear stability analyses are carried out for a double‐diffusive chemically reactive fluid layer with viscosity being a function of temperature and pressure. The linear stability analysis is studied when the stabilizing salt gradient acts against the destabilizing thermal gradient. The effect of reaction parameters and variable viscosity on the stability of the system is studied for heated below, salted above, and the heated and salted below models with Rigid–Rigid boundary conditions. Chebyshev pseudospectral method is applied to determine the numerical solutions.

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Couple stresses effect on instability and nonlinear stability in a double diffusive convection

Cited by 19 publications

References 31 publications

Slip boundary condition effect on double‐diffusive convection in a porous medium: Brinkman Model

Slip boundary condition effect on double‐diffusive convection in a porous medium: Brinkman Model

Stability of a chemically reacting double‐diffusive fluid layer in a porous medium

Unconditional nonlinear stability for double‐diffusive convection with temperature‐ and pressure‐dependent viscosity

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