A General Similarity Transformation for Combined Free and Forced-Convection Flows Within a Fluid-Saturated Porous Medium

Nakayama, A.; Koyama, Hitoshi

doi:10.1115/1.3248180

Cited by 67 publications

(29 citation statements)

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“…Figure 1 also demonstrates the effects of magnetic field on the fluid velocity u for both ramped temperature and isothermal plates. It is noticed from Figure 1 that, for both ramped temperature and isothermal plates, u decreases on increasing 2 M . This implies that magnetic field has a tendency to retard fluid velocity for both ramped temperature and isothermal plates.…”

Section: Resultsmentioning

confidence: 89%

“…Several researchers investigated natural convection flow near a vertical plate embedded in a porous medium considering different aspects of the problem. Mention may be made of research studies of Cheng and Minkowycz [1], Nakayama and Koyama [2], Lai and Kulacki [3], Hsieh et al [4], Nield and Kuznetsov [5] and Gorla and Chamkha [6]. Comprehensive reviews of thermal convection in porous media along with its wide variety of engineering applications are well presented by Ingham and Pop [7], Vafai [8] and Nield and Bejan [9].…”

Section: Introductionmentioning

confidence: 99%

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Numerical Solution of Unsteady Hydromagnetic Natural Convection Flow of Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

Seth

Sarkar

Mahato

2013

International Journal of Applied Mathematical Research

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A numerical investigation of unsteady hydromagnetic natural convection flow of a viscous, incompressible, electrically conducting and heat absorbing fluid past an impulsively moving vertical plate with ramped temperature embedded in a porous medium in the presence of thermal diffusion is carried out. The governing equations are solved numerically by Crank-Nicolson implicit finite difference scheme. The numerical solution for fluid velocity and fluid temperature are depicted graphically whereas the numerical values of skin friction and Nusselt number are presented in tabular form for various values of pertinent flow parameters. Natural convection flow near a ramped temperature plate is also compared with the flow near an isothermal plate.

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Section: Resultsmentioning

confidence: 89%

Section: Introductionmentioning

confidence: 99%

Numerical Solution of Unsteady Hydromagnetic Natural Convection Flow of Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

Seth

Sarkar

Mahato

2013

International Journal of Applied Mathematical Research

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“…Taking into consideration the importance of such study Cheng and Minkowycz [1] obtained similarity solution for free convection flow from a vertical plate embedded in a fluid-saturated porous medium. Nakayama and Koyama [2] analyzed free and forced convection flow in Darcian and nonDarcian porous medium. Hsieh et al [3] obtained non-similar solution for free and forced convection flow from vertical surfaces in a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Effects of Hall Current on Hydromagnetic Natural Convection Flow of a Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

Seth

Mahato

Sarkar

et al. 2012

International Journal of Applied Mathematical Research

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Effects of Hall current on unsteady MHD natural convection flow of a viscous, incompressible, electrically conducting and heat absorbing fluid past an impulsively moving vertical plate with ramped temperature in a porous medium, in the presence of thermal diffusion, is studied. The exact solution of momentum and energy equations, under Boussinesq approximation, is obtained in closed form by Laplace transform technique for both ramped temperature and isothermal plates. Solution is also obtained in the case of unit Prandtl number for ramped temperature plate. The expressions for skin friction due to primary and secondary flows and Nusselt number for both ramped temperature and isothermal plates are also derived. Mathematical formulation of the problem, in non-dimensional form, contains six pertinent flow parameters viz.

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“…A general transformation for a similarity solution in combined convection is obtained by Nakayama and Koyama [8]. Nakayama and Pop [9] proposed a similarity transformation for free, forced and combined convection.…”

Section: Introductionmentioning

confidence: 99%

Effect of double stratification on mixed convection heat and mass transfer from a vertical surface in a fluid‐saturated porous medium

Bansod

Jadhav

2010

Heat Trans. Asian Res.

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This paper presents the mixed convection heat and mass transfer near a vertical surface in a stratified porous medium using an integral method. The conservation equations that govern the problem are reduced to a system of coupled non-linear ordinary differential equations, which is then reduced into a single algebraic equation using exponential profiles for the temperature and concentration. The results for heat and mass transfer rates in terms of Nusselt and Sherwood number are presented for a wide range of governing parameters like the buoyancy ratio (N), Lewis number (Le), flow driving parameter (Ra / Pe), in addition to both thermal and solutal parameters (S and R). The results indicate that the stratification effects have considerable influence on both the heat and mass transfer rates.

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A General Similarity Transformation for Combined Free and Forced-Convection Flows Within a Fluid-Saturated Porous Medium

Cited by 67 publications

References 0 publications

Numerical Solution of Unsteady Hydromagnetic Natural Convection Flow of Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

Numerical Solution of Unsteady Hydromagnetic Natural Convection Flow of Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

Effects of Hall Current on Hydromagnetic Natural Convection Flow of a Heat Absorbing Fluid past an Impulsively Moving Vertical Plate with Ramped Temperature

Effect of double stratification on mixed convection heat and mass transfer from a vertical surface in a fluid‐saturated porous medium

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