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

Constantin Fetecau

doi:10.61927/igmin144

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Engineering Group Mini Review 記事ID: igmin144

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

Mechanical Engineering Energy Systems Materials Science DOI10.61927/igmin144

Constantin Fetecau ^*

Affiliation

Constantin Fetecau, Section of Mathematics, Academy of Romanian Scientists, 050094 Bucharest, Romania, Email: c_fetecau@yahoo.com

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要約

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.

参考文献

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Fetecau C, Rauf A, Qureshi TM, Vieru D. Steady-state solutions for MHD motions of Burgers fluids through porous media with differential expressions of shear on boundary and Applications. Mathematics. 2022; 10(22): 4228. DOI: 10.3390/math 10224228
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