Thermal radiation effects on magnetohydrodynamic free convection heat and mass transfer from a sphere in a variable porosity regime

Prasad, V. Ramachandra; Vasu, B.; Bég, O. Anwar; Parshad, Rana D.

doi:10.1016/j.cnsns.2011.04.033

Cited by 46 publications

(25 citation statements)

References 32 publications

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“…The current study has been confined to steady-state flow i.e. ignored transient effects [50] and also neglected thermal radiation heat transfer effects [51,49]. These aspects are also of relevance to rheological food processing simulations and will be considered in future investigations.…”

Section: Discussionmentioning

confidence: 99%

Flow and Heat Transfer of Casson Fluid from a horizontal Circular Cylinder with Partial Slip in non-Darcy porous Medium

Prasad¹

2013

J Appl Computat Math

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In the Present study, the steady flow and heat transfer of Casson fluid from a permeable horizontal cylinder in the presence of slip condition in a non-Darcy porous medium is analyzed. The cylinder surface is maintained at a constant temperature. The boundary layer conservation equations, which are parabolic in nature, are normalized into non-similar form and then solved numerically with the well-tested, efficient, implicit, stable Keller-box finite-difference scheme. Increasing the velocity slip parameter is found to decrease the velocity and boundary layer thickness and increases the temperature and the boundary layer thickness. The velocity decreases with the increase the non-Darcy parameter and is found to increase the temperature. The velocity increases with the increase the Casson fluid parameter and is found to decrease the temperature. The Skin-friction coefficient and the local Nusselt number are found to decrease with the increase in velocity and thermal slip parameters respectively. Volume 2 • Issue 2 • 1000127 J Appl Computat Math ISSN: 2168-9679 JACM, an open access journal structural characteristics of many important liquids including polymer suspensions, liquid crystal melts, physiological fluids, contaminated lubricants, etc.The steady flow of non-Newtonian fluids in the presence of heat transfer is an important research area due to its wide use in food processing, power engineering, and petroleum production and in many industries for example polymers melt and polymer solutions employed in the plastic processing. Several fluids in chemical engineering, multiphase mixtures, pharmaceutical formulations, china clay and coal in water, paints, synthetic lubricants, salvia, synovial fluid, jams, soups, jellies, marmalades, sewage sludge etc are non-Newtonian. The constitutive relations for these kinds of fluids give rise to more complex and higher order equations than the Navier-Stokes equations. Considerable progress even through has been made on the topic by using different models of non-Newtonian fluids [2][3][4][5][6][7][8][9][10][11].

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Section: Discussionmentioning

confidence: 99%

Flow and Heat Transfer of Casson Fluid from a horizontal Circular Cylinder with Partial Slip in non-Darcy porous Medium

Prasad¹

2013

J Appl Computat Math

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“…, J. This non-linear system of algebraic equations is linearized by means of Newton's method as explained in [37,39].…”

Section: Numerical Solution With Keller Box Implicit Methodsmentioning

confidence: 99%

“…Further interesting investigations of heat transfer from spheres have been presented by Chen and Chen [34] for power-law fluids in porous media, Dhole et al [35] for forced convection in power-law fluids using the finite volume method and by Be´g et al [36] for combined heat and species diffusion in micropolar fluids with cross-diffusion effects. Prasad et al [37] have also studied radiative heat flux effects on magneto-convective heat and species diffusion from a sphere in an isotropic permeable medium.…”

Section: Introductionmentioning

confidence: 98%

“…The nondimensional equations with associated dimensionless boundary conditions constitute a highly nonlinear, coupled twopoint boundary value problem. Keller's implicit finite difference ''box'' scheme is implemented to solve the problem [37]. The effects of the emerging thermophysical parameters, namely the Weissenberg number (We), power law index (n), Biot number (c) and Prandtl number (Pr), on the velocity, temperature, Skin friction number, and heat transfer rate (local Nusselt number) characteristics are studied.…”

Section: Introductionmentioning

confidence: 99%

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Numerical study of flow and heat transfer of non-Newtonian Tangent Hyperbolic fluid from a sphere with Biot number effects

Gaffar¹,

Prasad²,

Bég³

2015

Alexandria Engineering Journal

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In this article, we investigate the nonlinear steady boundary layer flow and heat transfer of an incompressible Tangent Hyperbolic fluid from a sphere. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using implicit finite-difference Keller Box technique. The numerical code is validated with previous studies. The influence of a number of emerging non-dimensional parameters, namely Weissenberg number (We), power law index (n), Prandtl number (Pr), Biot number (cÞ and dimensionless tangential coordinate (nÞ on velocity and temperature evolution in the boundary layer regime is examined in detail. Furthermore, the effects of these parameters on heat transfer rate and skin friction are also investigated. Validation with earlier Newtonian studies is presented and excellent correlation is achieved. It is found that the velocity, Skin friction and the Nusselt number (heat transfer rate) are decreased with increasing Weissenberg number (We), whereas the temperature is increased. Increasing power law index (n) increases the velocity and the Nusselt number (heat transfer rate) but decreases the temperature and the Skin friction. An increase in the Biot number (cÞ is observed to increase velocity, temperature, local skin friction and Nusselt number. The study is relevant to chemical materials processing applications. ª 2015 Production and hosting by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/). ª 2015 Production and hosting by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). Please cite this article in press as: S.A. Gaffar et al., Numerical study of flow and heat transfer of non-Newtonian Tangent Hyperbolic fluid from a sphere with Biot number effects, Alexandria Eng. J. (2015), http://dx.

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“…They obtained exact dimensionless solutions of momentum and energy equations, under Boussinesq approximation using the Laplace transforms. In addition to this, many researchers (for example, see Makinde [21], [22], Makinde and Olanrewaju [23], Khan et al [24], Pal and Mondal [25], Rajesh [26], Prasad et al [27], Magyari and Pantokratoras [28], Turkyilmazoglu [29]–[32], Chandrakala [33], Narahari and Yunus [34], Narahari and Ishakh [35], Seth et al [36], Mishra et al [37] and Ming and Wang [38] have discussed different flow situations for different fluid models either with heat transfer or mass transfer or both of them together in the presence of different effects such as MHD, porosity, thermal radiation, chemical reaction etc.…”

Section: Introductionmentioning

confidence: 99%

Conjugate Effects of Heat and Mass Transfer on MHD Free Convection Flow over an Inclined Plate Embedded in a Porous Medium

et al. 2013

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The aim of this study is to present an exact analysis of combined effects of radiation and chemical reaction on the magnetohydrodynamic (MHD) free convection flow of an electrically conducting incompressible viscous fluid over an inclined plate embedded in a porous medium. The impulsively started plate with variable temperature and mass diffusion is considered. The dimensionless momentum equation coupled with the energy and mass diffusion equations are analytically solved using the Laplace transform method. Expressions for velocity, temperature and concentration fields are obtained. They satisfy all imposed initial and boundary conditions and can be reduced, as special cases, to some known solutions from the literature. Expressions for skin friction, Nusselt number and Sherwood number are also obtained. Finally, the effects of pertinent parameters on velocity, temperature and concentration profiles are graphically displayed whereas the variations in skin friction, Nusselt number and Sherwood number are shown through tables.

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Thermal radiation effects on magnetohydrodynamic free convection heat and mass transfer from a sphere in a variable porosity regime

Cited by 46 publications

References 32 publications

Flow and Heat Transfer of Casson Fluid from a horizontal Circular Cylinder with Partial Slip in non-Darcy porous Medium

Flow and Heat Transfer of Casson Fluid from a horizontal Circular Cylinder with Partial Slip in non-Darcy porous Medium

Numerical study of flow and heat transfer of non-Newtonian Tangent Hyperbolic fluid from a sphere with Biot number effects

Conjugate Effects of Heat and Mass Transfer on MHD Free Convection Flow over an Inclined Plate Embedded in a Porous Medium

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