Numerical study on a vertical plate with variable viscosity and thermal conductivity

Palani, G.; Kim, Kwang‐Yong

doi:10.1007/s00419-009-0336-8

Cited by 27 publications

(20 citation statements)

References 18 publications

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“…1, 2). The effect of b k on the flow was the similar result observed by Attia (1999) and Palani and Kim (2010).…”

Section: Resultssupporting

confidence: 83%

Combined Effect of Variable Viscosity and Variable Thermal Conductivity on Double-Diffusive Convection Flow of a Permeable Fluid in a Vertical Channel

Umavathi

2015

Transp Porous Med

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This paper reports a detailed analytical and numerical investigation on free convection flow of viscous fluid through a porous medium due to the combined effects of thermal and mass diffusion. Effect of temperature-dependent viscosity and thermal conductivity is investigated in the presence of first-order chemical reaction. The non-Darcy model is applied to define the porous matrix. The effects of viscous and Darcy dissipations are taken into account. The governing equations of continuity, momentum, energy, and concentration which are coupled nonlinear ordinary differential equations are solved analytically using regular perturbation method and numerically using Runge-Kutta shooting method. Brinkman number and variable thermal conductivity parameters are used as perturbation parameters. The velocity, temperature, and concentration distributions are discussed numerically and plotted in graphs. The effects of variable viscosity parameter, variable thermal conductivity parameter, thermal Grashof number, mass Grashof number, Brinkman number, wall temperature ratio, and first-order chemical reaction parameter on the flow fields are explored. The effects of physical parameters such as skin friction and Nusselt number at both the plates are derived and discussed, and the numerical values for various values of physical parameters are presented in tables. The solutions obtained using Runge-Kutta shooting method and using perturbation method are compared and the solutions agree very well in the absence of perturbation parameter.

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“…1, 2). The effect of b k on the flow was the similar result observed by Attia (1999) and Palani and Kim (2010).…”

Section: Resultssupporting

confidence: 83%

Combined Effect of Variable Viscosity and Variable Thermal Conductivity on Double-Diffusive Convection Flow of a Permeable Fluid in a Vertical Channel

Umavathi

2015

Transp Porous Med

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“…Molla et al (2009) considered the natural convection laminar flow with temperature dependent viscosity and thermal conductivity along a vertical wavy surface. Numerical study on a vertical plate with variable viscosity and thermal conductivity has been reported by Palani and Kim (2010). The Crank-Nicolson type of finite difference scheme was used in his work.…”

Section: Introductionmentioning

confidence: 99%

MHD free convection flow along a vertical flat plate with thermal conductivity and viscosity depending on temperature

Nasrin

Alim

2010

J. nav. arch. mar. engg.

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“…Nasrin and Alim [23] investigated magnetohydrodynamic free convection flow along a vertical flat plate with thermal conductivity and viscosity depending on temperature. Numerical study on a vertical plate with variable viscosity and thermal conductivity has investigated by Palani and Kim [24]. Aldoss et al [25] [28] investigated entropy generation during fluid flow in a channel under the effect of transverse magnetic field.…”

Section: Isrn Mechanical Engineeringmentioning

confidence: 99%

Effect of Temperature-Dependent Variable Viscosity on Magnetohydrodynamic Natural Convection Flow along a Vertical Wavy Surface

Parveen

Alim

2011

ISRN Mechanical Engineering

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The effect of temperature dependent variable viscosity on magnetohydrodynamic (MHD) natural convection flow of viscous incompressible fluid along a uniformly heated vertical wavy surface has been investigated. The governing boundary layer equations are first transformed into a nondimensional form using suitable set of dimensionless variables. The resulting nonlinear system of partial differential equations are mapped into the domain of a vertical flat plate and then solved numerically employing the implicit finite difference method, known as Keller-box scheme. The numerical results of the surface shear stress in terms of skin friction coefficient and the rate of heat transfer in terms of local Nusselt number, the stream lines and the isotherms are shown graphically for a selection of parameters set consisting of viscosity parameter (ε), magnetic parameter (M), and Prandtl number (Pr). Numerical results of the local skin friction coefficient and the rate of heat transfer for different values are also presented in tabular form.

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Numerical study on a vertical plate with variable viscosity and thermal conductivity

Cited by 27 publications

References 18 publications

Combined Effect of Variable Viscosity and Variable Thermal Conductivity on Double-Diffusive Convection Flow of a Permeable Fluid in a Vertical Channel

Combined Effect of Variable Viscosity and Variable Thermal Conductivity on Double-Diffusive Convection Flow of a Permeable Fluid in a Vertical Channel

MHD free convection flow along a vertical flat plate with thermal conductivity and viscosity depending on temperature

Effect of Temperature-Dependent Variable Viscosity on Magnetohydrodynamic Natural Convection Flow along a Vertical Wavy Surface

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