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Hodograph transformations and solutions in variably inclined MHD plane flows

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Summary

By a variably inclined MHD plane flow we mean a flow in which the magnetic and velocity fields are coplanar, the angle between these vector fields is variable and all the flow variables are functions of two coordinates and time. No work seems to have been done for these general plane MHD flows, even in the steady case.

In the present paper the work in steady, viscous, incompressible flows is extended to general variably inclined, but nowhere aligned, flows with the objective of obtaining some exact solutions. We employ the hodograph transformation, one of the strong analytical methods, to find these solutions.

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Chandna, O.P., Barron, R.M. & Chew, K.T. Hodograph transformations and solutions in variably inclined MHD plane flows. J Eng Math 16, 223–243 (1982). https://doi.org/10.1007/BF00042718

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  • DOI: https://doi.org/10.1007/BF00042718

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