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Solutions for the flow of a conducting power-law fluid in a transverse magnetic field and with a pressure gradient using Crocco variables

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Summary

The steady two-dimensional incompressible flow of a conducting power-law fluid past a flat plate in the presence of a transverse magnetic field of the formH 0 x(m−1)/2 and under the influence of a pressure gradient is considered. The resulting similarity equation is first converted into a different form using Crocco variables and then solved by choosing a suitable profile for the dependent variable. The results are compared with those obtained by direct numerical integration of the original differential equation. The energy equation for a special case for which similarity solutions exist is also considered.

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  1. T. C. Chiam

    Present address: Division of Information Engineering, School of Electrical and Electronic Engineering, Nanyang Technological University, Nanyang Avenue, 639798, Singapore

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    Chiam, T.C. Solutions for the flow of a conducting power-law fluid in a transverse magnetic field and with a pressure gradient using Crocco variables. Acta Mechanica 137, 225–235 (1999). https://doi.org/10.1007/BF01179211

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