The effect of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium

Lai, F. C.; Kulacki, F. A.

doi:10.1016/0017-9310(90)90084-8

Cited by 297 publications

(156 citation statements)

References 5 publications

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“…Figure (9) reveals that the magnitude of the velocity increases with increasing mass Grashoff number Gm throughout the fluid region. Similarly the same phenomenon is observed with increasing Schmidt number Sc from figure (10). The effect of radiation parameter R on the temperature profile is shown in figure (11).…”

Section: Resultssupporting

confidence: 76%

Variable Heat and Mass Transfer on MHD flow of Visco-elastic fluid past an impulsively started vertical porous plate

Reddy¹,

Krishna²

2017

jusps-B

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In this paper, we have discussed the MHD flow of visco-elastic fluid through a loosely packed porous medium in an impulsively started vertical plate with variable heat and mass transfer. The temperature of plate is made to rise linearly with time. The fluid considered is gray, absorbing-emitting radiation but a non-scattering medium. The equations for the governing flow are solved by making use Laplace-transform technique. The velocity, temperature and concentration are obtained analytically and computationally discussed with reference to governing parameters and are illustrated graphically, and physical aspects of the problem are discussed. Also skin friction, Nusselt number and Sherwood number are obtained analytically and are tabulated.

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Section: Resultssupporting

confidence: 76%

Variable Heat and Mass Transfer on MHD flow of Visco-elastic fluid past an impulsively started vertical porous plate

Reddy¹,

Krishna²

2017

jusps-B

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“…In general, r < 0 for gases and r > 0 for liquids (see Lai and Kulacki (1990)). Also, θr is a constant which is defined by…”

Section: Physical Model and Mathematical Analysismentioning

confidence: 99%

Solute Transport and Heat Transfer in Single-Phase Flow in Porous Medium With Generative/Destructive Chemical Reaction and Variable Viscosity Impacts

Achemlal¹,

Sriti²,

Elharoui³

et al. 2017

Frontiers in Heat and Mass Transfer

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In this paper we study the combined free convection, due to thermal and species diffusion, of a viscous incompressible non Newtonian fluid over a vertical plate embedded in a saturated porous medium with three thermal states of the surface and a constant concentration in the presence of a chemical reaction. The effect of temperature dependent viscosity is also investigated. The Ostwald-de Waele power-law model is used to characterize the non-Newtonian fluid behavior. The governing boundary layer equations along with the boundary conditions are first cast into a dimensionless form by a unique similarity transformation and the resulting coupled differential equations are then solved numerically by a computational program based on the fifth order Runge-Kutta scheme with shooting iteration technique. The results are illustrated and the physical aspect is discussed for temperature and concentration profiles, as well as the Nusselt and Sherwood numbers for various values of the parameters, which govern the problem.

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“…Invoking the usual boundary layer approximation under the aforementioned assumptions, the governing equation for momentum, heat and mass transfer in Walters' liquid B model in the presence of variable fluid viscosity and thermal conductivity can be taken as considered by [45]: heat at constant pressure. Here,   is the constant fluid density and  is the coefficient of viscosity which is considered to vary as an inverse function of temperature according to Lai and Kulacki [37] as follows: T is the ambient temperature,  T and   are the constant values of the temperature and dynamic viscosity far away from the sheet respectively. This type of fluid variable viscosity has been used by [39,46] and is more appropriate for the present investigation as it is valid for wide temperature range.…”

Section: Governing Equationsmentioning

confidence: 99%

“…However, it is obvious in [36][37][38][39][40] that these physical properties of the ambient fluid may change with temperature and so, the fluid viscosity may no longer be assumed constant. Pantokratoras [41] has presented some results on the variable viscosity of flow and heat transfer to a continuous moving flat plate.…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer on MHD Viscoelastic Fluid Flow in the Presence of Thermal Diffusion and Chemical Reaction

Popoola¹,

Baoku²,

Olajuwon³

2016

IJHT

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The paper carries out an analysis on the momentum, heat and mass transfer characteristics in an incompressible magnetohydrodynamic non-Newtonian boundary flow of a viscoelastic fluid over a stretching sheet in the presence of thermal diffusion and chemical reaction. The partial differential equations governing the flow as well as heat and mass transfer features are converted into highly non-linear coupled ordinary differential equations by similarity transformations. The resulting differential equations are solved by using a shooting technique with fifth-order Runge-Kutta-Fehlberg integration scheme. The influence of magnetic interaction, variable thermal conductivity, viscoelastic, variable fluid viscosity, heat source/sink rate of chemical reaction, themal radiation and thermal diffusion parameters as well as Prandtl and Schmidt numbers are analyzed for velocity, temperature and concentration profiles. The wall shear stress, wall temperature and concentration gradients are also investigated for the problem. The fluid viscosity varies as an inverse function of velocity while the thermal conductivity assumes a linear and an inverse function of temperature and concentration respectively. The study shows that the thermal diffusion and thermal radiation parameters have opposite effects on the skin friction coefficient and wall concentration gradient. However, the rate of chemical reaction has similar influence on the skin friction coefficient and wall temperature gradient.

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The effect of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium

Cited by 297 publications

References 5 publications

Variable Heat and Mass Transfer on MHD flow of Visco-elastic fluid past an impulsively started vertical porous plate

Variable Heat and Mass Transfer on MHD flow of Visco-elastic fluid past an impulsively started vertical porous plate

Solute Transport and Heat Transfer in Single-Phase Flow in Porous Medium With Generative/Destructive Chemical Reaction and Variable Viscosity Impacts

Heat and Mass Transfer on MHD Viscoelastic Fluid Flow in the Presence of Thermal Diffusion and Chemical Reaction

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