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One-Dimensional Problem of a Conducting Viscous Fluid with One Relaxation Time

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  • Angail A. Samaan

Abstract

We introduce a magnetohydrodynamic model of boundary-layer equations for conducting viscous fluids. This model is applied to study the effects of free convection currents with thermal relaxation time on the flow of a viscous conducting fluid. The method of the matrix exponential formulation for these equations is introduced. The resulting formulation together with the Laplace transform technique is applied to a variety problems. The effects of a plane distribution of heat sources on the whole and semispace are studied. Numerical results are given and illustrated graphically for the problem.

Suggested Citation

  • Angail A. Samaan, 2011. "One-Dimensional Problem of a Conducting Viscous Fluid with One Relaxation Time," Mathematical Problems in Engineering, Hindawi, vol. 2011, pages 1-23, May.
  • Handle: RePEc:hin:jnlmpe:731876
    DOI: 10.1155/2011/731876
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