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1

Unsteady convection and mass transfer flow in three dimension over an inclined plate through a porous medium with periodic permeability

Chaudhary D., Jain N. C., Jat. R. N.

International Journal of Applied Mechanics and Engineering

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2011

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Vol. 16, no 4

959-975

EN

A three dimensional unsteady convection flow of a viscous incompressible fluid through a highly porous medium with mass transfer effects bounded by an infinite inclined porous plate is analyzed. Assuming the free stream velocity to be uniform, approximate solutions are obtained and the effects of the following: the magnetic field (M), permeability parameter (K0), thermal Grashof number (Gr), mass Grashof number (Gc), Prandtl number (Pr), Schmidt number (Sc) and angle of inclination ( )on the velocity field, the temperature field, skin friction and the rate of heat transfer are discussed with the help of graphs. It is observed that an increase in K0 increases the skin friction but decreases the Nusselt number near the plate which increases as we move away from the plate whereas increase in M decreases the skin friction as well as the Nusselt number near the plate.

2

Natural convection flow of a third grade fluid in a circular pipe

Ariel P. D.

International Journal of Applied Mechanics and Engineering

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2008

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Vol. 13, no 2

311-323

EN

The steady, laminar, natural convection flow of a third grade fluid in a vertical circular pipe is investigated when a constant temperature is maintained at the walls of the pipe. The flow is governed by a pair of coupled equations in velocity and temperature fields involving the parameters K, which is the product of the Eckert and Prandtl number, and [...] which is a measure of the third grade fluid parameter. Solutions are obtained (i) by numerical integration of the differential equations governing the flow, and (ii) by seeking a perturbation solution in terms of the parameter K. The results are compared and appropriate conclusions drawn regarding the applicability of the perturbation solution. It is shown that the effect of the third grade fluid parameter is to counteract the influence of the parameter K on the flow.

3

Mixed Convection on a Vertical Flat Plate with Variable Magnetic Field

Dimian M. F., Hadhoda M. Kh.

Mechanics and Mechanical Engineering

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2007

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Vol. 11, nr 1

97-112

EN

The steady laminar incompressible boundary layer mixed convection flow of an electrically conducting fluid on a vertical flat plate in the presence of an applied magnetic field has been studied. The effect of the induced magnetic field has been considered in the analysis. The resulting partial differential equations are transformed into a system of ordinary differential equations which have been solved numerically using shooting method. Two cases are considered here for the buoyancy force: (i) when it acts in the same direction as the forced flow (Tw > T∞), (ii) when it acts in the opposite direction to the forced flow (Tw < T∞). The velocity profiles, temperature profiles, the skin friction on the plate and the rate of heat transfer coeffcient (Nusselt number) are computed and discussed for different values of the magnetic force number β, the thermal buoyancy force ╏, reciprocal of the magnetic Prandtl number α and viscous dissipation parameter (Eckert number) Ec for the two cases.

4

Effect of radiatlon and viscous dissipation on convection flow in a vertical porous channel

Malashetty M. S., Swamy M.

International Journal of Applied Mechanics and Engineering

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2007

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Vol. 12, no 4

1049-1060

EN

The effect of radiation on a combined free and forced convection flow of a Boussinesq fluid through a vertical porous channel with viscous and Darcy dissipation is investigated analytically. The temperature of the walls is assumed to be equal and vary linearly with the height of the wall. Closed form solutions are obtained using a perturbation method valid for smalI values of the Eckert number. The effects of radiation, the porous parameter and Prandtl number on the velocity, temperature, flow rate and rate of heat transfer are presented graphically.

5

Natural convection flows with variable viscosity, heat and mass diffusion along a vertical plate

Dimian M. F., Hadhoda M. K.

Mechanics and Mechanical Engineering

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2004

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Vol. 7, nr 2

61-76

EN

The aim of this paper is a numerical study of laminar double diffusive free convection viscous flows adjacent to a vertical plate, taking into account the variation of the viscosity and double-diffusive heat and mass transfer with temperature. The governing conservation equations of mass, momentum, energy and chemical species are non-dimensionalized by using appropriate transformations. The resulting equations are solved numerically by using the fourth order Runge-Kutta integration scheme along with the Nachtsheim-Swiger shooting technique. It is noticed that both the velocity and concentration of air are increasing as the parameter Β 2, (the species diffusion parameter) increases, but an opposite effect for the velocity is observed at a certain distance far from the plate. It is also observed that the temperature decreases as the parameter Β 2 increases. The shearing stress at the plate, the local Nusselt number and the local Sherwood number are obtained. The friction coefficient at the plate, of heat and mass transfer at the plate, the momentum, thermal and concentration boundary layers thickness (δ, δ T, δ C) have been estimated for different values of α, Sc and N.