A Finite Element Study of Double Diffusive Mixed Convection in a Concentration Stratified Darcian Fluid Saturated Porous Enclosure under Injection/Suction Effect

Kumar, B. V. Rathish; Murthy, S. V. S. S. N. V. G. Krishna

doi:10.1155/2012/594701

Cited by 8 publications

(3 citation statements)

References 29 publications

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“…Subash Abel et al 22 has commented on blended convection heat transmission of magnetohydrodynamic stream due to penetrable sheet. Kumar and Murthy 23 studied a finite element method of double diffusive blended convection in a concentrated stratified darcian fluid‐saturated porous enclosure under injection or suction effect. Hayat et al 24 investigated heat and mass transmission for Soret and Dufour's influence of blended convection limit layer stream over an elongated vertical surface in a spongy medium filled with viscoelastic fluid.…”

Section: Introductionmentioning

confidence: 99%

Double‐diffusive natural convective stream due to moving vertical plate with nonlinear thermal radiation and Newton's boundary constraint

Nandeppanavar¹,

Kemparaju²,

Nagaraj

2021

Heat Trans

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This article investigates the heat and mass transmission of the double‐diffusive convective stream over a moving vertical plate with nonlinear thermal radiation and newton boundary conditions. The governing partial differential equations of the stream, heat, and concentration profiles were transformed into a system of nonlinear ordinary differential equation by utilizing resemblance transformation. This system was then resolved numerically by applying the fourth order Runge‐Kutta method with most efficient shooting technique. The effect of convection, buoyancy ratio, nonlinear thermal radiation, Prandtl number, Rayleigh number and Schmidt number are graphically scrutinized. The numerical results are obtained for velocity, temperature, and concentration profiles. It is found that when the velocity profile increases, heat and mass transfer rate decreases with an increase in the parametric value of buoyancy ratio parameter. It is found that the effect of nonlinear thermal radiation stabilizes the thermal boundary layer growth. The skin friction coefficient decreases with an increase in Prandtl number. However, the Nusselt number increases with an increase in the local convective heat transfer rate. The present results are very much promising, and further, there is a very good agreement of results when compared with earlier published results for some limiting conditions.

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Section: Introductionmentioning

confidence: 99%

Double‐diffusive natural convective stream due to moving vertical plate with nonlinear thermal radiation and Newton's boundary constraint

Nandeppanavar¹,

Kemparaju²,

Nagaraj

2021

Heat Trans

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“…Rajesh Sharma et al [18] have studied the coupled momentum and heat transfer in unsteady, incompressible flow along a semi-infinite vertical porous moving plate adjacent to an isotropic porous medium with viscous dissipation effect. The finite element method (FEM) is utilized to simulate the unsteady free convection flow of a viscous fluid, B. V. Rathish Kumar et al [19] numerically studied the mixed convection flow by Galerkin finite element method in vertical square porous enclosure filed with a concentration-stratified fluidsaturated, The forced flow conditions are imposed by providing an inlet at the bottom wall and an outlet with a suction on the top wall. Numerical results are presented by tracing the cumulative heat and mass fluxes, streamline and isotherms of the fluid for a wide range of governing parameters…”

Section: Introductionmentioning

confidence: 99%

Numerical Study of Natural Convection in a Vertical Cylindrical Partially Annular

Medebber

Retiel

2018

Mechanics and Mechanical Engineering

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A study of free convection in a vertical cylinder partially annulus is conducted numerically. Uniform temperature is imposed cross a vertical wall, while the top and bottom walls are adiabatic. The governing equations are solved numerically by using a finite volume method. The coupling between the continuity and momentum equations is effected using the SIMPLER algorithm. Solutions have been obtained for Prandtl numbers equal to 7.0, Rayleigh numbers of 103 to 106 and height ratios of 0 to 1. The influence of physical and geometrical parameters on the streamlines, isotherms, average Nusselt has been numerically investigated.

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“…An analysis for the axisymmetric laminar boundary layer mixed convection flow of a viscous and incompressible fluid towards a stretching cylinder immersed in a thermally stratified medium has been presented by Mukhopadhyay and Ishak [12]. The mixed convection flow in a concentrationstratified fluid-saturated vertical square porous enclosure has been investigated numerically using the Galerkin finite element method by Rathish Kumar and Krishnamurthy [13].…”

Section: Introductionmentioning

confidence: 99%

Mixed Convection Over a Vertical Plate in a Doubly Stratified Fluid‐Saturated Non‐Darcy Porous Medium with Cross‐Diffusion Effects

Srinivasacharya

Surender

2013

Heat Trans. Asian Res.

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The present article investigates the influence of Dufour and Soret effects on mixed convection heat and mass transfer over a vertical plate in a doubly stratified fluid‐saturated porous medium. The plate is maintained at a uniform and constant wall heat and mass fluxes. The Darcy–Forchheimer model is employed to describe the flow in porous medium. The nonlinear governing equations and their associated boundary conditions are initially transformed into dimensionless forms. The resulting system of nonlinear partial differential equations is then solved numerically by the Keller‐box method. The variation of the dimensionless velocity, temperature, concentration, heat, and mass transfer rates for different values of governing parameters involved in the problem are analyzed and presented graphically. © 2013 Wiley Periodicals, Inc. Heat Trans Asian Res; Published online in Wiley Online Library (http://wileyonlinelibrary.com/journal/htj). DOI 10.1002/htj.21114

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A Finite Element Study of Double Diffusive Mixed Convection in a Concentration Stratified Darcian Fluid Saturated Porous Enclosure under Injection/Suction Effect

Cited by 8 publications

References 29 publications

Double‐diffusive natural convective stream due to moving vertical plate with nonlinear thermal radiation and Newton's boundary constraint

Double‐diffusive natural convective stream due to moving vertical plate with nonlinear thermal radiation and Newton's boundary constraint

Numerical Study of Natural Convection in a Vertical Cylindrical Partially Annular

Mixed Convection Over a Vertical Plate in a Doubly Stratified Fluid‐Saturated Non‐Darcy Porous Medium with Cross‐Diffusion Effects

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