Acta Mechanica

, 187:113 | Cite as

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

Article

Summary

An analysis is presented to study the effect of radiation on magnetohydrodynamic mixed convective steady laminar boundary layer flow of an optically thick electrically conducting viscous micropolar fluid past a moving semi-infinite vertical plate for high temperature differences. A uniform magnetic field is applied perpendicular to the moving plate. The density of the micropolar fluid is assumed to reduce exponentially with temperature. The usual Boussinesq approximation is neglected because of the high temperature differences between the plate and the ambient fluid. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The resulting governing equations are transformed using a similarity transformation and then solved numerically by applying an efficient technique. The effects of radiation parameter R, magnetic parameter M, couple parameter Δ and density/temperature parameter n on the velocity, angular velocity and temperature profiles as well as the local skin friction coefficient, wall couple stress and the local Nusselt number are presented graphically and in tabular form.

References

  1. Eringen, A. C. 1964Simple microfluidsInt. J. Engng. Sci.2205217MATHMathSciNetCrossRefGoogle Scholar
  2. Eringen, A. C. 1966Theory of micropolar fluidsJ. Math. Mech.16118MathSciNetGoogle Scholar
  3. Eringen, A. C. 1972Theory of ThermomicrofluidsJ. Math. Anal. Appl.38480496MATHCrossRefGoogle Scholar
  4. Ariman, T., Turk, M. A., Sylvester, N. D. 1973Microcontinuum fluid mechanics – a reviewInt. J. Engng. Sci.11905930MATHCrossRefGoogle Scholar
  5. Gill, W. N., Casal, E. D. 1962A theoretical investigation of natural convection effects in forced horizontal flowsAIChEJ.8513516CrossRefGoogle Scholar
  6. Bhargava, R., Kumar, L., Takhar, H. S. 2003Numerical solution of free convection MHD micropolar fluid flow between two parallel porous vertical platesInt. J. Engng. Sci.41123136CrossRefGoogle Scholar
  7. Yucel, A. 1989Mixed convection in micropolar fluid flow over a horizontal plate with surface mass transferInt. J. Engng. Sci.2715931602CrossRefGoogle Scholar
  8. Gorla, R. S. R., Ghorashi, B., Wangskarn, P. 1989Mixed convection in vertical internal flow of a micropolar fluidInt. J. Engng. Sci.2715531561CrossRefGoogle Scholar
  9. Agarwal, R. S., Bhargava, R., Balaji, A. V. S. 1989Finite element solution of flow and heat transfer of a micropolar fluid over a stretching sheetInt. J. Engng. Sci.2714211428MATHCrossRefGoogle Scholar
  10. Danberg, J. E., Fansler, K. S. 1976A nonsimilar moving wall boundary layer problemQuart. Appl. Math.34305309MATHGoogle Scholar
  11. Kelson, N. A., Desseaux, A. 2001Effect of surface conditions on flow of a micropolar fluid driven by a porous stretching sheetInt. J. Engng. Sci.3918811897CrossRefGoogle Scholar
  12. Perdikis, C., Raptis, A. 1996Heat transfer of a micropolar fluid by the presence of radiationHeat Mass Transfer31381382Google Scholar
  13. Raptis, A. 1998Flow of a micropolar fluid past a continuously moving plate by the presence of radiationInt. J. Heat Mass Transfer4128652866MATHCrossRefGoogle Scholar
  14. Elbarbary, M. E., Elgazery, S. 2004Chebyshev finite difference method for the effect of variable viscosity on magneto-micropolar fluid flow with radiationInt. Comm. Heat Mass Transfer31409419CrossRefGoogle Scholar
  15. Kasivishwanathan, S. R., Gandhi, M. V. 1992A class of exact solutions for the magnetohydrodynamic flow of a micropolar fluidInt. J. Engng. Sci.30409417CrossRefGoogle Scholar
  16. Mohammadein, A. A., Gorla, R. S. R. 1996Effects of transverse magnetic field on mixed convection in a micropolar fluid on a horizontal plate with vectored mass transferActa Mech.118112MATHCrossRefGoogle Scholar
  17. Gorla, R. S. R., Takhar, H. S., Slaouti, A. 1998Magnetohydrodynamic free convection boundary layer flow of a thermomicropolar fluid over a vertical plateInt. J. Engng. Sci.36315327CrossRefGoogle Scholar
  18. Abo-Eldahab, E. M., El Aziz, M. A. 2004Hall current and Ohmic heating effects on mixed convection boundary layer flow of a micropolar fluid from a rotating cone with power law variation in surface temperatureInt. Comm. Heat Mass Transfer31751762CrossRefGoogle Scholar
  19. Abo-Eldahab, E. M., El Aziz, M. A. 2005Flow and heat transfer in a micropolar fluid past a stretching surface embedded in a non-Darcian porous medium with uniform free streamAppl. Math. Comp.162881899MATHMathSciNetCrossRefGoogle Scholar
  20. Eringen, A. C. 2001Microcontinuum field theories. II: Fluent mediaSpringerNew YorkMATHGoogle Scholar
  21. Kakaç, S., Yenar, Y. 1984Convective heat transferHemisphere Publishing Corp.Washington, DC380381Google Scholar
  22. Warren, M. R., James, P. H., Young, I. C.: Handbook of heat transfer, 3rd ed., Chap. 7, pp. 21–23. McGraw-Hill 1998.Google Scholar
  23. Shih, T. M. 1984Numerical heat transferHemisphere Publishing CorporationWashington, DC380381MATHGoogle Scholar
  24. Tsou, F. K., Sparrow, E. M., Goldstein, R. J. 1967Flow and heat transfer in the boundary layer on a continuous moving surfaceInt. J. Heat Mass Transfer10219223CrossRefGoogle Scholar
  25. Soundalgekar, V. M., Ramana Murty, T. V. 1980Heat transfer past a continuous moving plate with variable temperatureWärme- und Stoffübertragung149193CrossRefGoogle Scholar
  26. Ali, M. E. 1995On thermal boundary layer on a power law stretched surface with suction or injectionInt. J. Heat Fluid Flow16280290CrossRefGoogle Scholar
  27. Moutsoglou, A., Chen, T. S. 1995Buoyancy effects in boundary layers on inclined, continuous moving sheetsASME J. Heat Transfer102371373CrossRefGoogle Scholar
  28. Chen, C. H. 1998Laminar mixed convection adjacent to a vertical continuously stretching sheetsHeat Mass Transfer33471476CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Wien 2006

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of ScienceHelwan UniversityCairoEgypt

Personalised recommendations