Finite-element simulation of mixed convection flow of micropolar fluid over a shrinking sheet with thermal radiation

A numerical model is developed to examine the effects of thermal radiation on unsteady mixed convection flow of a viscous dissipating incompressible micropolar fluid adjacent to a heated vertical stretching surface in the presence of the buoyancy force and heat generation/absorption. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The model contains nonlinear coupled partial differential equations which have been converted into ordinary differential equation by using the similarity transformations. The dimensionless governing equations for this investigation are solved by Runge-Kutta-Fehlberg fourth fifth-order method with shooting technique. Numerical solutions are then obtained and investigated in detail for different interesting parameters such as the local skin-friction coefficient, wall couple stress, and Nusselt number as well as other parametric values such as the velocity, angular velocity, and temperature.

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Thermal radiation effects on magnetohydrodynamic mixed convection flow of a micropolar fluid past a continuously moving semi-infinite plate for high temperature differences

Acta Mechanica ◽

10.1007/s00707-006-0377-9 ◽

2006 ◽

Vol 187 (1-4) ◽

pp. 113-127 ◽

Cited By ~ 21

Author(s):

M. Abd-El Aziz

Keyword(s):

High Temperature ◽

Mixed Convection ◽

Thermal Radiation ◽

Micropolar Fluid ◽

Radiation Effects ◽

Infinite Plate ◽

Convection Flow ◽

Mixed Convection Flow

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Mixed Convection Flow of a Micropolar Fluid Past a Vertical Stretching Surface in a Thermally Stratified Porous Medium with Thermal Radiation

Journal of Mechanics ◽

10.1017/jmech.2013.22 ◽

2013 ◽

Vol 29 (3) ◽

pp. 461-470 ◽

Cited By ~ 4

Author(s):

Mostafa A.A. Mahmoud ◽

Shimaa E. Waheed

Keyword(s):

Porous Medium ◽

Differential Equations ◽

Mixed Convection ◽

Thermal Radiation ◽

Ordinary Differential Equations ◽

Micropolar Fluid ◽

Convection Flow ◽

Mixed Convection Flow ◽

Linear Ordinary Differential Equations ◽

Permeability Parameter

AbstractThis paper is concerned with the effect of thermally stratification on the steady, two-dimensional mixed convection flow of a micropolar fluid past a vertical stretching permeable surface saturated in porous medium taking into account the effect of thermal radiation. The governing system of partial differential equations describing the problem are converted into a system of non-linear ordinary differential equations using similarity transformation. The resulting system of coupled nonlinear ordinary differential equations is solved numerically using the Chebyshev spectral method. The numerical results for the velocity, the micro-rotation and the temperature are displayed graphically showing the effects of various parameters like the buoyancy parameter, the radiation parameter, the stratification parameter, the permeability parameter and the suction/injection parameter. Moreover, the numerical values of the local skinfriction coefficient, the wall couple stress and the local Nusselt number for these parameters are also tabulated and discussed.

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