Viscosity and dispersion effects on natural convection from a vertical cone in a nonnewtonian fluid saturated porous medium

This paper investigates the influence of double dispersion and viscosity on natural convection heat and mass transfer from vertical cone in a non-Darcy porous medium saturated with non- Newtonian fluid. The surface of the cone and the ambient medium are maintained at constant but different levels of temperature and concentration. The Ostwald-de Waele power law model is used to characterize the non-Newtonian fluid behavior. A similarity solution for the transformed governing equations is obtained. The numerical computation is carried out for various values of the non-dimensional physical parameters. The effect of non-Darcy parameter, viscosity parameter, thermal and solutal dispersion, buoyancy ratio, Lewis number and power-law index parameter on the temperature and concentration field as well as on the heat and mass transfer coefficients is analyzed.

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Effect of Melting on Mixed Convection Heat and Mass Transfer in a Non-Newtonian Fluid Saturated Non-Darcy Porous Medium

Journal of Heat Transfer ◽

10.1115/1.4003899 ◽

2012 ◽

Vol 134 (4) ◽

Cited By ~ 12

Author(s):

R. R. Kairi ◽

P. V. S. N. Murthy

Keyword(s):

Mass Transfer ◽

Porous Medium ◽

Mixed Convection ◽

Heat And Mass Transfer ◽

Newtonian Fluid ◽

Power Law ◽

Soret Effect ◽

Physical Parameters ◽

Convection Heat ◽

Wide Range

In this paper, we investigate the influence of melting on mixed convection heat and mass transfer from vertical flat plate in a non-Newtonian fluid-saturated non-Darcy porous medium including the prominent Soret effect. The wall and the ambient medium are maintained at constant but different levels of temperature and concentration such that the heat and mass transfer occurs from the wall to the medium. The Ostwald–de Waele power law model is used to characterize the non-Newtonian fluid behavior. A similarity solution for the transformed governing equations is obtained. The numerical computation is carried out for various values of the nondimensional physical parameters. The variation of temperature, concentration, and heat and mass transfer coefficients with the power law index, mixed convection parameter, inertia parameter, melting parameter, Soret number, buoyancy ratio, and Lewis number is discussed for a wide range of values of these parameters.

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Influence of viscous dissipation and thermo-diffusion on double diffusive convection over a vertical cone in a non-Darcy porous medium saturated by a non-Newtonian fluid with variable heat and mass fluxes

Nonlinear Engineering ◽

10.1515/nleng-2016-0054 ◽

2018 ◽

Vol 7 (1) ◽

pp. 65-72

Author(s):

Rishi Raj Kairi ◽

Ch. RamReddy ◽

Santanu Raut

Keyword(s):

Mass Transfer ◽

Porous Medium ◽

Differential Equations ◽

Heat And Mass Transfer ◽

Viscous Dissipation ◽

Newtonian Fluid ◽

Power Law ◽

Vertical Cone ◽

Variable Heat ◽

Double Diffusive

Abstract This paper emphasizes the thermo-diffusion and viscous dissipation effects on double diffusive natural convection heat and mass transfer characteristics of non-Newtonian power-law fluid over a vertical cone embedded in a non-Darcy porous medium with variable heat and mass flux conditions. The Ostwald–de Waele power-law model is employed to describe the behavior of non-Newtonian fluid. Local non-similarity procedure is applied to transform the set of non-dimensional partial differential equations into set of ordinary differential equations and then the resulting system of equations are solved numerically by Runge-Kutta fourth order method together with a shooting technique. The influence of pertinent parameters on temperature and concentration, heat and mass transfer rates are analyzed in opposing and aiding buoyancy cases through graphical representation and explored in detail.

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