Analysis of heat absorption on natural convection flow along a vertical wavy surface with viscous dissipation under variable viscosity

A mathematical model will be analyzed in order to study the effects of viscous dissipation and Ohmic heating (Joule heating) on magnetohydrodynamic (MHD) natural convection flow of a temperature dependent viscosity from heated vertical wavy surface. The present physical problem is studied numerically by using the appropriate variables, which reduce the complex wavy surface into a flat one. An implicit marching Chebyshev collocation scheme is employed for the analysis. Numerical solutions are obtained for velocity, temperature, local skin friction, and Nusselt number for a selection of parameter sets consisting of Eckert number, Prandtl number, MHD variation, and amplitude-wavelength ratio parameter. Numerical results show that these parameters have significant influences on the velocity and the temperature profiles as well as for the local skin friction and Nusselt number

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Viscous Dissipation Effect on Natural Convection Flow along a Vertical Wavy Surface

Procedia Engineering ◽

10.1016/j.proeng.2014.11.852 ◽

2014 ◽

Vol 90 ◽

pp. 294-300 ◽

Cited By ~ 3

Author(s):

Nazma Parveen ◽

Sujon Nath ◽

Md. Abdul Alim

Keyword(s):

Natural Convection ◽

Viscous Dissipation ◽

Wavy Surface ◽

Convection Flow ◽

Natural Convection Flow ◽

Dissipation Effect

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MHD NATURAL CONVECTION FLOW ALONG A VERTICAL WAVY SURFACE IN PRESENCE OF HEAT GENERATION/ABSORPTION WITH VISCOSITY DEPENDENT ON TEMPERATURE

Journal of Mechanical Engineering ◽

10.3329/jme.v42i1.15944 ◽

2013 ◽

Vol 42 (1) ◽

pp. 47-55

Author(s):

N. Parveen ◽

M. A. Alim

Keyword(s):

Heat Transfer ◽

Natural Convection ◽

Heat Generation ◽

Variable Viscosity ◽

Wavy Surface ◽

Convection Flow ◽

Heat Transfer Characteristics ◽

Natural Convection Flow ◽

Box Scheme ◽

Vertical Flat Plate

The present numerical simulation is analyzed the Magnetohydrodynamic natural convection flow andheat transfer along a uniformly heated vertical wavy surface in presence of heat generation/absorption withtemperature dependent variable viscosity. Using the appropriate transformations the governing boundary layerequations are reduced to non-dimensional forms. The resulting nonlinear system of partial differentialequations are mapped into the domain of a vertical flat plate and then solved numerically applying implicitfinite difference method together with Keller-box scheme. The solutions are expressed in terms of the skinfriction coefficient, the rate of heat transfer, the streamlines as well as the isotherms over the whole boundarylayer. The implications of heat generation/absorption parameter (Q) and viscosity parameter (?) on the flowstructure and heat transfer characteristics are investigated in detail while, Prandtl number (Pr), magneticparameter (M) and the amplitude-to-length ratio of the wavy surface (?) are considered fixed. Comparison withpreviously published work is performed and is found to be in good agreement.DOI: http://dx.doi.org/10.3329/jme.v42i1.15944

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COMBINED EFFECTS OF VISCOUS DISSIPATION AND HEAT GENERATION ON NATURAL CONVECTION FLOW ALONG A VERTICAL WAVY SURFACE

Journal of Mechanical Engineering ◽

10.3329/jme.v45i1.24380 ◽

2015 ◽

Vol 45 (1) ◽

pp. 24-31

Author(s):

K. H. Kabir ◽

M. A. Alim ◽

L. S. Andallah ◽

Saika Mahjabin

Keyword(s):

Natural Convection ◽

Viscous Dissipation ◽

Heat Generation ◽

Skin Friction Coefficient ◽

Wavy Surface ◽

Convection Flow ◽

Physical Parameters ◽

Surface Shear Stress ◽

Natural Convection Flow ◽

Surface Shear

In this paper, the effects of viscous dissipation on natural convection flow along a uniformly heated vertical wavy surface with heat generation have been investigated. The governing boundary layer equations are first transformed into a non-dimensional form using suitable set of dimensionless variables. The resulting nonlinear systems of partial differential equations are mapped into the domain of a vertical flat plate and then solved numerically employing the Keller-box method. 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 velocity as well as the temperature profiles are shown graphically and in tabular form for different values of physical parameters namely, viscous dissipation parameter Vd, heat generation parameter Q and Prandtl number Pr.

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