Effect of viscous dissipation on natural convection heat and mass transfer from vertical cone in a non-Newtonian fluid saturated non-Darcy porous medium

Kairi, Rishi Raj; Murthy, P. V. S. N.

doi:10.1016/j.amc.2011.03.013

Cited by 39 publications

(19 citation statements)

References 22 publications

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“…Further, these temperature gradients will not be contributing anything to heat generation leaving the thermal boundary layers almost unaltered. These qualitative results on the effect of Sr are in agreement with those reported by Kairi and Murthy [19].…”

Section: Resultssupporting

confidence: 94%

“…In liquids, the Dufour effect is negligibly small compared to the Soret effect. Kairi and Murthy [19] have investigated the Soret effects on the natural convection heat and mass transfer from vertical cone in a non-Newtonian fluid-saturated non-Darcy porous medium in the presence of viscous dissipation. Their results show that in case of aiding buoyancy the Nusselt number is increased with Soret number up to some value of the dissipation parameter and decreased thereafter while in case of opposing buoyancy Nusselt number is decreased with Soret number for all values of dissipation parameter.…”

Section: Introductionmentioning

confidence: 99%

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Soret Effect on the Natural Convection From a Vertical Plate in a Thermally Stratified Porous Medium Saturated With Non-Newtonian Liquid

Narayana¹,

Khidir²,

Sibanda

et al. 2013

Journal of Heat Transfer

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The paper highlights the application of a recent seminumerical successive linearization method (SLM) in solving highly coupled, nonlinear boundary value problem. The method is presented in detail by solving the problem of free convection flow due to a vertical plate embedded in a non-Darcy thermally stratified porous medium saturated with a nonNewtonian power-law liquid. Thermal-diffusion (Soret) and variable viscosity effects are taken into consideration. The Ostwald-de Waele power-law model is used to characterize the non-Newtonian behavior of the fluid. The governing partial differential equations are transformed into a system of ordinary differential equations and solved by SLM. The accuracy of the SLM has been tested by comparing the results with those obtained using the shooting technique. The effect of various physical parameters such as power-law index, Soret number, variable viscosity parameter, and thermal stratification parameter on the dynamics of the fluid is analyzed through computed results. Heat and mass transfer coefficients are also shown graphically for different values of the parameters.

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Section: Resultssupporting

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Soret Effect on the Natural Convection From a Vertical Plate in a Thermally Stratified Porous Medium Saturated With Non-Newtonian Liquid

Narayana¹,

Khidir²,

Sibanda

et al. 2013

Journal of Heat Transfer

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“…In another case of his research, Cheng (2006a) investigated the heat and mass transfer rates of the elliptical cylinder with slender orientation and blunt orientations. Cheng (2009) also studied the Soret and Dufour effects on the boundary layer flow due to natural convection heat and mass transfer over a downward pointing vertical cone in a porous medium, whereas Kairi and Murthy (2011) have investigated the effect of viscous dissipation on natural convection heat and mass transfer from vertical cone. The radiation effect in case of the natural convection was reported by Salman et al (2009) using the thermal equilibrium approach, whereas thermal non-equilibrium approach was adopted to study the mixed convection in an annular vertical cylinder by the same author Salman et al (2011).…”

Section: Introductionmentioning

confidence: 98%

Analysis of Heat and Mass Transfer in a Vertical Annular Porous Cylinder Using FEM

et al. 2011

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The present study is intended to study heat and mass transfer in a vertical annular cylinder embedded with saturated porous medium. The inner surface of cylinder is maintained at uniform wall temperature and uniform wall concentration. The governing partial differential equations are non-dimensionalised and solved by using finite element method (FEM). The porous medium is discritised using triangular elements with uneven element size. Large number of smaller-sized elements are placed near the walls of the annulus to capture the smallest variation in solution parameters. The results are reported for both aiding and opposing flows. The effects of various non-dimensional numbers such as buoyancy ratio, Lewis number, Rayleigh number, aspect ratio, etc on heat and mass transfer are discussed. The temperature and concentration profiles are presented.123 698 I. A. Badruddin et al.

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“…Kairi and Murthy [1] presented the applications and past theoretical investigations on free convection flow in a channel. Fattahi et al [2] applied the lattice Boltzmann technique to study the nature of free convection flow of nano fluids.…”

Section: Introductionmentioning

confidence: 99%

Homotopy analysis for the influence of Navier slip flow in a vertical channel with cross diffusion effects

Kaladhar

Komuraiah

2017

Math Sci

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This research is to examine the laminar, incompressible free convective Navier slip flow between vertical plates with cross diffusion effects. This investigation includes the first order chemical reaction also. The resulting equations with boundary conditions are reduced into dimensionless form using suitable transformations. Homotopy analysis method has been applied to solve the system. The influence of emerging parameters on fluid flow quantities have been presented graphically. In addition, the nature of physical quantities are shown in tabular form.

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Effect of viscous dissipation on natural convection heat and mass transfer from vertical cone in a non-Newtonian fluid saturated non-Darcy porous medium

Cited by 39 publications

References 22 publications

Soret Effect on the Natural Convection From a Vertical Plate in a Thermally Stratified Porous Medium Saturated With Non-Newtonian Liquid

Soret Effect on the Natural Convection From a Vertical Plate in a Thermally Stratified Porous Medium Saturated With Non-Newtonian Liquid

Analysis of Heat and Mass Transfer in a Vertical Annular Porous Cylinder Using FEM

Homotopy analysis for the influence of Navier slip flow in a vertical channel with cross diffusion effects

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