Archive of Applied Mechanics

, Volume 67, Issue 7, pp 478–486

Unsteady compressible boundary layer flow in the stagnation region of a sphere with a magnetic field

  • H. S. Takhar
  • K. Yano
  • S. Nakamura
  • G. Nath
Article

DOI: 10.1007/s004190050132

Cite this article as:
Takhar, H., Yano, K., Nakamura, S. et al. Archive of Applied Mechanics (1997) 67: 478. doi:10.1007/s004190050132

Summary

An analysis is performed to study the unsteady compressible laminar boundary layer flow in the forward stagnation-point region of a sphere with a magnetic field applied normal to the surface. We have considered the case where there is an initial steady state that is perturbed by the step change in the total enthalpy at the wall. The nonlinear coupled parabolic partial differential equations governing the flow and heat transfer have been solved numerically using a finite-difference scheme. The numerical results are presented, which show the temporal development of the boundary layer. The magnetic field in the presence of variable electrical conductivity causes an overshoot in the velocity profile. Also, when the total enthalpy at the wall is suddenly increased, there is a change in the direction of transfer of heat in a small interval of time.

Key words Unsteady compressible flowboundary layerstagnation point flowMHDfinite difference scheme.

Copyright information

© Springer-Verlag Berlin Heidelberg 1997

Authors and Affiliations

  • H. S. Takhar
    • 1
  • K. Yano
    • 2
  • S. Nakamura
    • 2
  • G. Nath
    • 3
  1. 1.School of Engineering, University of Manchester, Manchester, M13 9PL, U.K.GB
  2. 2.Departments of Aeronautical and Mechanical Engineering The Ohio State University, Columbus OH 43210, U.S.A.US
  3. 3.Department of Mathematics, Indian Institute of Science, Bangalore 560012, India.IN