Numerical Study of the Flow of Magnetohydrodynamic Non-Newtonian Fluid Obeying the Eyring-Powell Model through a Non-Darcy Porous Medium with Coupled Heat and Mass Transfer

This paper is devoted to the study of the peristaltic motion of non-Newtonian fluid with heat and mass transfer through a porous medium in the channel under the effect of magnetic field. A modified Casson non-Newtonian constitutive model is employed for the transport fluid. A perturbation series’ method of solution of the stream function is discussed. The effects of various parameters of interest such as the magnetic parameter, Casson parameter, and permeability parameter on the velocity, pressure rise, temperature, and concentration are discussed and illustrated graphically through a set of figures.

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Numerical study of Soret and Dufour effects on heat and mass transfer from natural convection flow over a vertical porous medium with variable wall heat fluxes

Computational Materials Science ◽

10.1016/j.commatsci.2009.06.009 ◽

2009 ◽

Vol 47 (1) ◽

pp. 23-30 ◽

Cited By ~ 27

Author(s):

R. Tsai ◽

J.S. Huang

Keyword(s):

Mass Transfer ◽

Porous Medium ◽

Natural Convection ◽

Heat And Mass Transfer ◽

Numerical Study ◽

Heat Fluxes ◽

Convection Flow ◽

Natural Convection Flow ◽

Soret And Dufour Effects ◽

Variable Wall

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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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