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Magnetohydrodynamic flow for a non-Newtonian power-law fluid having a pressure gradient and fluid injection

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Summary

The nonlinear partial differential equation of motion for an incompressible, non-Newtonian power-law fluid flowing over flat plate under the influence of a magnetic field and a pressure gradient, and with or without fluid injection or ejection, is transformed to a nonlinear third-order ordinary differential equation by using a stream function and a similarity transformation.

The necessary boundary conditions are developed for flow with and without fluid injection (or ejection), and a solution for four different power-law fluids, including a Newtonian fluid, is presented.

The controlling equation includes, as special cases, the Falkner-Skan equation and the Blasius equation.

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References

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Authors and Affiliations

  1. Department of Mechanical Engineering, New Mexico State University, 88003, Las Cruces, New Mexico, USA

    M. H. Cobble

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  1. M. H. Cobble
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Cobble, M.H. Magnetohydrodynamic flow for a non-Newtonian power-law fluid having a pressure gradient and fluid injection. J Eng Math 14, 47–55 (1980). https://doi.org/10.1007/BF00042864

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  • DOI: https://doi.org/10.1007/BF00042864

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