Acta Mechanica

, Volume 176, Issue 3, pp 213–229

Flow and heat transfer of a micropolar fluid in an axisymmetric stagnation flow on a cylinder with variable properties and suction (numerical study)

Authors

    • Department of MathematicsAl Jouf Teachers College
    • Department of Mathematics, Faculty of EducationAin Shams University
  • N. S. Elgazery
    • Department of Mathematics, Faculty of EducationAin Shams University
Article

DOI: 10.1007/s00707-004-0205-z

Cite this article as:
Elbarbary, E. & Elgazery, N. Acta Mechanica (2005) 176: 213. doi:10.1007/s00707-004-0205-z

Summary.

In this paper, an analysis is presented to study the effects of variable properties, density, viscosity and thermal conductivity of a micropolar fluid flow and heat transfer in an axisymmetric stagnation flow on a horizontal cylinder with suction, numerically. The fluid density and the thermal conductivity are assumed to vary linearly with temperature. However, the fluid viscosity is assumed to vary as a reciprocal of a linear function of temperature. The similarity solution is used to transform the problem under consideration into a boundary value problem of nonlinear coupled ordinary differential equations which are solved numerically by using the Chebyshev finite difference method (ChFD). Numerical results are carried out for various values of the dimensionless parameters of the problem. The numerical results show variable density, variable viscosity, variable thermal conductivity and micropolar parameters, which have significant influences on the azimuthal and the angular velocities and temperature profiles, shear stress, couple stress and the Nusselt number. The numerical results have demonstrated that with increasing temperature ratio parameter the azimuthal velocity decreases. With increasing variable viscosity parameter the temperature increases, whereas the azimuthal and the angular velocities decrease. Also, the azimuthal and the angular velocities increase and the temperature decreases as the variable conductivity parameter increases. Finally, the pressure increases as the suction parameter increases.

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© Springer-Verlag Wien 2005