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Engineering Group Mini Review Article ID: igmin144

On the Governing Equations for Velocity and Shear Stress of some Magnetohydrodynamic Motions of Rate-type Fluids and their Applications

Dynamics Mechatronics EngineeringApplied Engineering
Constantin Fetecau *
Affiliation

Affiliation

    Section of Mathematics, Academy of Romanian Scientists, 050094 Bucharest, Romania

DOI10.61927/igmin144 Fulltext HTML Fulltext PDF Cite this article
DOI10.61927/igmin144 Fulltext HTML Fulltext PDF Cite this article

Abstract

The governing equations for the shear stress corresponding to some magnetohydrodynamic (MHD) motions of a large class of rate-type fluids are brought to light. In rectangular domains, the governing equations of velocity and shear stress are identical as form. The provided governing equations can be used to solve motion problems of such fluids when shear stress is prescribed on the boundary. For illustration, the motion in an infinite circular cylinder with shear stress on the boundary is discussed.

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