Magnetohydrodynamic laminar boundary-layer flow over a porous wedge with thermophoresis particle deposition in the presence of variable stream conditions

Anbuchezhian, N.; Srinivasan, Koottalai; Kandasamy, R.

doi:10.1007/s11012-011-9465-6

Cited by 5 publications

(2 citation statements)

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“…considered magnetohydrodynamic stagnation-point flow pass a stretching vertical plate with thermal radiation in a porous medium and analyzed the existence of solution by using homotopy analysis method. Convective heat transfer of incompressible viscous fluid over a porous wedge embedded in porous medium was investigated by Anbuchezhian et al [4] . Mukhopadhyay and Layek [5] discussed the effect of variable viscosity on the boundary layer flow and heat transfer of a fluid through a porous medium.…”

Section: Introductionmentioning

confidence: 99%

Unsteady Convection Flow and Heat Transfer over a Vertical Stretching Surface

Cai

Liu

2014

PLoS ONE

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This paper investigates the effect of thermal radiation on unsteady convection flow and heat transfer over a vertical permeable stretching surface in porous medium, where the effects of temperature dependent viscosity and thermal conductivity are also considered. By using a similarity transformation, the governing time-dependent boundary layer equations for momentum and thermal energy are first transformed into coupled, non-linear ordinary differential equations with variable coefficients. Numerical solutions to these equations subject to appropriate boundary conditions are obtained by the numerical shooting technique with fourth-fifth order Runge-Kutta scheme. Numerical results show that as viscosity variation parameter increases both the absolute value of the surface friction coefficient and the absolute value of the surface temperature gradient increase whereas the temperature decreases slightly. With the increase of viscosity variation parameter, the velocity decreases near the sheet surface but increases far away from the surface of the sheet in the boundary layer. The increase in permeability parameter leads to the decrease in both the temperature and the absolute value of the surface friction coefficient, and the increase in both the velocity and the absolute value of the surface temperature gradient.

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Section: Introductionmentioning

confidence: 99%

Unsteady Convection Flow and Heat Transfer over a Vertical Stretching Surface

Cai

Liu

2014

PLoS ONE

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“…Thermophoresis have many practical applications in removing small particles from gas particle trajectories from combustion devices and studying particulate material deposition turbine blades. It is used in the fabrication of optical fiber and is important in radioactive particle deposition in nuclear reactors (Anbuchezhian et al 2011). The use of nanoparticles improve the heat transfer performance of the base fluids having poor thermophysical properties which are not able to meet the cooling rate of modern engineering equipments.…”

Section: Introductionmentioning

confidence: 99%

Free Convection Boundary Layer Flow from a Heated Upward Facing Horizontal Flat Plate Embedded in a Porous Medium Filled by a Nanofluid with Convective Boundary Condition

Uddin

Khan²,

Ismail

2012

Transp Porous Med

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The steady laminar incompressible free convective flow of a nanofluid over a permeable upward facing horizontal plate located in porous medium taking into account the thermal convective boundary condition is studied numerically. The nanofluid model used involves the effect of Brownian motion and the thermophoresis. Using similarity transformations the continuity, the momentum, the energy, and the nanoparticle volume fraction equations are transformed into a set of coupled similarity equations, before being solved numerically, by an implicit finite difference numerical method. Our analysis reveals that for a true similarity solution, the convective heat transfer coefficient related with the hot fluid and the mass transfer velocity must be proportional to x −2/3 , where xis the horizontal distance along the plate from the origin. Effects of the various parameters on the dimensionless longitudinal velocity, the temperature, the nanoparticle volume fraction, as well as on the rate of heat transfer and the rate of nanoparticle volume fraction have been presented graphically and discussed. It is found that Lewis number, the Brownian motion, and the convective heat transfer parameters increase the heat transfer rate whilst the thermophoresis decreases the heat transfer rate. It is also found that Lewis number and the convective heat transfer parameter enhance the nanoparticle volume fraction rate whilst the thermophoresis parameter decreases nanoparticle volume fraction rate. A very good agreement is found between numerical results of the present article for special case and published results. This close agreement supports the validity of our analysis and the accuracy of the numerical computations.

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