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

IgMin Research Pub Date : 2024-01-31 DOI:10.61927/igmin144
Fetecau Constantin
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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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论速率型流体的某些磁流体动力学运动的速度和剪切应力控制方程及其应用
本研究揭示了与一大类速率型流体的某些磁流体动力学(MHD)运动相对应的剪应力控制方程。在矩形域中,速度和剪应力的控制方程形式相同。当在边界上规定剪应力时,所提供的控制方程可用于解决这类流体的运动问题。为了说明问题,我们讨论了在边界上有剪应力的无限圆柱体中的运动。
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