INFLUENCE OF THERMAL RADIATION AND HEAT GENERATION/ABSORPTION ON MHD HEAT TRANSFER FLOW OF A MICROPOLAR FLUID PAST A WEDGE CONSIDERING HALL AND ION SLIP CURRENTS

Abstract

In this paper a numerical model is developed to examine the effect of thermal radiation on magnetohydrodynamic heat transfer flow of a micropolar fluid past a non-conducting wedge in presence of heat source/sink. In the model it is assumed that the fluid is viscous, incompressible and electrically conducting. The Hall and ion slip effects have also been taken into consideration. The model contains highly non-linear coupled partial differential equations which have been converted into ordinary differential equation by using the similarity transformations. These equations are then solved numerically by Shooting technique along with the Runge-Kutta-Fehlberg integration scheme for entire range of parameters with appropriate boundary conditions. The effects of various parameters involved in the problem have been studied with the help of graphs. Numerical values of skin friction coefficients and Nusselt number are presented in tabular form. The results showed that the micropolar fluids are better to reduce local skin drag as compared to Newtonian fluids and the presence of heat sink increases the heat transfer rate..

Keywords

Dates

  • Submission Date2011-07-12
  • Revision Date2012-05-22
  • Acceptance Date2012-06-05

DOI Reference

10.2298/TSCI110712085U

References

  1. Cortell, R., Suction, viscous dissipation and thermal radiation effects on the flow and heat transfer of a power-law fluid past an infinite porous plate, Chemical Engineering Research and Design, 89 (2011), pp. 85-93
  2. Malekzadeh, P., Moghimi, M. A. and Nickaeen, M., The radiation and variable viscosity effects on electrically conducting fluid over a vertically moving plate subjected to suction and heat flux, Eneregy Conservation and management, 52 (2011), pp. 2040-2047
  3. Pal, D., Combined effects of non-uniform heat source/sink and thermal radition on heat transfer over an unsteady stretching permeable surface, Commun Nonlinear Sci Numer Simulat., 16 (2011), pp. 1890-1904
  4. Uddin, Z. and Kumar, M., Radiation effect on unsteady MHD heat and mass transfer flow on a moving inclined porous heated plate in presence of chemical reaction, Int. J of Mathematical mod., simulation and applications, 3 (2010), 2, pp. 155-163
  5. Uddin, Z., Kumar, M. and Bisht, V., Radiation heat transfer effect on a moving semi-infinite tilted porous heated plate with uniform suction in the presence of transverse magnetic field, Ganita,60 (2009), 1, pp. 69-79
  6. Uddin, Z. and Kumar M., MHD Heat and Mass Transfer Free Convection Flow Near The Lower Stagnation point of an isothermal Cylinder imbedded in Porous domain with the Presence Of Radiation, Jordan J Mechanical and Industrial Engineering, 5 (2011),2, pp. 133-138
  7. Eringen, A. C., Theory of micropolar fluids, J Math Mech., 16, (1966), pp. 1-18
  8. Eringen, A. C., Theory of thermomicropolar fluids. J Math Anal Appl., 38 (1972), pp. 480-96
  9. Eringen, A. C., Microcontinuum field theories. II: fluent media. New York, Springer, 2001
  10. Lukaszewicz, G., Micropolar fluids: theory and applications. Basel: Birkhauser, 1999
  11. Rahman, M. M., Convective flows of micropolar fluids from radiate isothermal porous surfaces with viscous dissipation and joule heating, Commun Nonlinear Sci Numer Simulat., 14 (2009), pp. 3018-3030
  12. Bakier, A. Y., Effect of thermophoresis on natural convection boundary layer flow of a micropolar fluid, Thermal Science, 14 (2010), 1, pp. 171-181.
  13. Asgharian, A., Ganji, D. D. Soleimani, S. and Asgharian, S., Analytical solution of stagnation flow of a micropolar fluid towards a vertical permeable surface, Thermal Science, 14 (2010), 2, pp. 383-392.
  14. Norfifah, B., Ishak, A., MHD stagnation point flow of a micropolar fluid with prescribed wall heat flux, European J Sci research, 35 (2009), 3, pp.436-43.
  15. Lin, H. T. and Lin, L. K., Similarity solutions for laminar forced convection heat transfer from wedges to fluids of any Prandtl number, Int J Heat Mass Transfer, 30, (1987), pp. 1111-1118
  16. Kim, Y. J., Thermal boundary layer flow of a micropolar fluid past a wedge with constant wall temperature, Acta Mech. 138 (1999), pp.113-21.
  17. Kim, Y. J. and Kim, T. A., Convective micropolar boundary layer flows over a wedge with constant surface heat flux, Int J Appl Mech Engng, 8, (2003), pp. 147-53
  18. Falkner, V. M., Skan, S. W., Some approximate solutions of the boundary layer equations, Philos Mag., 12 (1931), pp.865-96
  19. Yih, K. A., MHD forced convection flow adjacent to a non-isothermal wedge, Int comm. Heat Mass Transfer, 26 (1999), pp. 819-827
  20. Chamka, A. J., Mujtaba, M., Qadri, A. and Issa, C., Thermal radiation effects on MHD forced convection flow adjacent to a non-isothermal wedge in the presence of heat source or sink, Heat Mass Transfer, 39 (2003), pp. 305-312
  21. Param Jeet Singh, Roy, S., Ravindran, R., Unsteady mixed convection flow over a vertical wedge, Int J Heat Mass Transfer, 52 (2008), pp. 415-21
  22. Rashad, A. M., Bakier, A. Y., MHD Effects on Non-Darcy Forced convection boundary layer flow past a permeable wedge in a porous medium with uniform heat flux, Nonlinear analysis: Modelling and Control, 14 (2009), 2, pp. 249-61
  23. Ishak, A., Nazar, R. and Pop, I., MHD boundary-layer flow of a micropolar fluid past a wedge with constant wall heat flux, Comm Nonlinear Science Num Simulation, 14 (2009), pp. 109-118
  24. Hazem, A. A., Hall effect on Couettes flow with heat transfer of a dusty conducting fluid in the presence of uniform suction and injection, African J Math phys., 2 (2005), 1, pp. 97-110
  25. Hazem, A. A., The effect of variable properties on the unsteady Couette flow with heat transfer considering the Hall effect, Comm Nonlinear Sci Numer Simult., 13 (2008), pp. 1596-1604
  26. Elgazery, N. S., The effects of chemical reaction, hall and ion slip currents on MHD flow with temperature dependent viscosity and thermal diffusivity, Comm Nonlinear Sci Num Simult., 14 (2009), pp. 1267-83
  27. Rahman, M. M., Eltayeb, I. A. and Rahman, S. M., Thermo-micropolar fluid flow along a vertical permeable plate with uniform surface heat flux in the presence of heat generation, Thermal Science, 13(2009), 1, pp. 23-36
  28. Ibrahim, A. A., Analytic solution of heat and mass transfer over a permeable stretching plate affected by chemical reaction, internal heating, Dufour -Soret effect and hall effect, Thermal Science, 13(2009), 2, pp. 183-97
  29. Pal, D., and Chatterjee, S., Heat and mass transfer in MHD non-Darcian flow of a micropolar fluid over a stretching sheet embedded in a porous media with non-uniform heat source and thermal radiation, Commun Nonlinear Sci Numer Simulat., 15 (2010), pp. 1843-1857
  30. Sutton, G. W., Sherman, A., Engineering magnetohydrodynamics, McGrawHill, 1965
  31. Rosenhead, L. Laminar boundary layers, Dover publications, Inc., New York, 1963
  32. Brewster, M. Q., Thermal Radiative Transfer and Properties, John Wiley and Sons. Inc., New York, 1992
  33. Jena S. K. and Mathur M. N., Similarity solutions for laminar free convection flow of a thermomicropolar fluid past a non-isothermal vertical plate, Int J Engng Sci., 19 (1981), 11, pp. 1431-39
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