Heat transfer in a fluid through a porous medium over a permeable stretching surface with thermal radiation and variable thermal conductivity

An Analysis has been carried out to study the boundary layer flow and heat transfer characteristics of second order fluid and second grade fluid with variable thermal conductivity and radiation over an exponentially stretching sheet in porous medium. The basic boundary layer equations governing the flow and heat transfer in prescribed surface temperature (PST) and prescribed heat flux (PHF) cases are in the form of partial differential equations. These equations are converted to non-linear ordinary differential equations using similarity transformations. Numerical solutions of the resulting boundary value problem are solved by using the fourth order Runge-Kutta method with shooting technique for various values of the physical parameters. The effect of variable thermal conductivity, porosity, Prandtl number, radiation parameter and viscoelastic parameters on velocity and temperature profiles (in PST and PHF cases) are analyzed and discussed through graphs. Numerical values of wall temperature gradient in PST case and wall temperature in PHF case are obtained and tabulated for various values of the governing parameters. In this study Prandtl number also treated as variable inside the boundary layer because it depends on thermal conductivity. The results are also verified by using finite difference method.

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Effects of Nonlinear Thermal Radiation and Thermo-Diffusion on MHD Carreau Fluid Flow Past a Stretching Surface with Slip

Diffusion Foundations ◽

10.4028/www.scientific.net/df.11.57 ◽

2017 ◽

Vol 11 ◽

pp. 57-71 ◽

Cited By ~ 8

Author(s):

Machireddy Gnaneswara Reddy ◽

M.V.V.N.L. Sudha Rani ◽

Oluwole Daniel Makinde

Keyword(s):

Thermal Conductivity ◽

Thermal Radiation ◽

Variable Thermal Conductivity ◽

Heat Transfer Analysis ◽

Nonlinear Thermal Radiation ◽

Stretching Surface ◽

Flow Equations ◽

Variable Approach ◽

Opposite Behavior ◽

Layer Flow

The boundary layer flow of a heat transfer analysis on Carreau hydro magnetic fluid past a convectively nonlinear stretching surface analyzed. The nonlinear radiation, variable thermal conductivity and thermo diffusion effects are included in energy and species governing equations. The set of dimensionless integrated ordinary differential equations under the boundary restrictions obtained with the help of suitable similarity variable approach. The reduced governing flow equations with the boundary conditions are resolved numerically. Comparisons present results with existing literature and yields nice agreement .The description of results has been analyzed for the flow controlling embedded pertinent parameters by utilizing the plots and tables. It is revealed that energy distribution decays for enhancing values of variable thermal conductivity parameter whereas the opposite behavior to the thermal radiation parameter. The non-dimensional concentration boosts with the ascending values of Soret number.

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