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Radiation effects on MHD boundary layer flow and heat transfer over a nonlinear stretching surface with variable wall temperature in the presence of non-uniform heat source/sink

Devi S. P. A., Agneeshwari M., Raj J. W. S.

International Journal of Applied Mechanics and Engineering

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2018

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Vol. 23, no. 2

289--305

EN

In this paper, an investigation is made to analyze the effects of radiation on an MHD boundary layer flow and heat transfer over a nonlinear stretching surface with variable wall temperature and non-uniform heat source/sink. A suitable similarity transformation is used to transform the governing nonlinear partial differential equations into a system of nonlinear ordinary differential equations by using the Nachtsheim Swigert shooting iteration technique together with the fourth order Runge Kutta method. The effects of various physical parameters over a dimensionless velocity and dimensionless temperature are presented graphically. The numerical results for the skin friction co-efficient and non-dimensional rate of heat transfer are presented and discussed for several sets of values of the parameters. Comparisons of numerical results are made with the earlier published results under limiting cases.

2

Thermal analysis of generalized Burgers nanofluid over a stretching sheet with nonlinear radiation and non uniform heat source/sink

Kumar K. G., Ramesh G. K., Gireesha B. J.

Archives of Thermodynamics

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2018

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Vol. 39, no 2

97--122

EN

The work deals with the heat analysis of generalized Burgers nanofluid over a stretching sheet. The Rosseland approximation is used to model the non-linear thermal radiation and incorporated non-uniform heat source/sink effect. The governing equations reduced to a set of nonlinear ordinary differential equations under considering the suitable similarity transformations. The obtained ordinary differential equations equations are solved numerically by Runge-Kutta-Fehlberg order method. The effect of important parameters on velocity, temperature and concentration distributions are analyzed and discussed through the graphs. It reveals that temperature increases with the increase of radiation and heat source/sink parameter.

3

Viscoelastic liquid flow and heat transfer over a stretching sheet in porous medium with nonuniform heat source

Abel M. S., Nandeppanavar M. M., Malkhed M. B.

International Journal of Applied Mechanics and Engineering

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2009

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Vol. 14, no 1

5-19

EN

This paper presents an analytical study of a steady boundary layer visco-elastic liquid flow over a non-isothermal stretching sheet embedded in a porous medium in the presence of non-uniform heat generation / absorption. The stretching of the sheet is assumed to be proportional to the perpendicular distance from the slit. Two different temperature conditions are considered, viz., (i) the sheet with a prescribed surface temperature (PST) and (ii) the sheet with a prescribed wall heat flux (PHF). The non-linear boundary layer equations for momentum are converted into non-linear ordinary differential equations by means of a similarity transformation and the same is solved exactly. The heat transport equation with variable coefficients is transformed into a confluent hypergeometric differential equation and solved analytically. The effect of various parameters on the temperature distribution is presented graphically. The numerical calculations have been carried out for various values of non-dimensional physical parameters, the results tabulated the results and discussed.

4

Effects of thermal radiation and non-uniform heat source on MHD flow of viscoelastic fluid and heat transfer over a stretching sheet

Subhas Abel M., Nandeppanavar M. M.

International Journal of Applied Mechanics and Engineering

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2007

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Vol. 12, no 4

903-918

EN

The present paper deals with the study of momentum and heat transfer characteristics in a visco-elastic fluid flow over an impermeable stretching sheet. Where the flow is generated due to linear stretching of the sheet and influenced by a uniform magnetic field applied vertically in the flow region. Heat balance is maintained with a non-uniform heat source/sink, viscous dissipation and thermal radiation. The partial differential equations governing the flow and heat transfer are converted into ordinary differential equations by suitable similarity transformations. The proposed problem has be en solvcd by the fourth order Runge-Kutta method with shooting technique. The effects of viscous dissipation, a non-uniform heat source/sink and thermal radiation on heat transfer characteristics in two different general cases, namely (1) the prescribed surface temperature (PST) and (2) the prescribed wall heat flux (PHF) are presented graphically and discussed. The calculated values of the wall temperature gradient in the PST case and the wall temperature PHF case are tabulated and discussed.