Anil Rathi, Dipak Kumar Sahoo, B. V. Rathish Kumar, Manisha Chowdhury, and Sangita Dey
Finite Element Study of Transient MHD Stokes Equations and Modelling a Doubly Driven Cavity Flow
Dynamic Systems and Applications 32 (2023) 333-349

https://doi.org/10.46719/dsa2023.32.18

ABSTRACT.
In this study, we derive a Galerkin finite element scheme for approximating the evolutionary Stokes Equations under magnetic effects which are governing a flow dynamics in a doubly driven cavity. The stable finite element numerical scheme is applied to trace the physics associated with the complex flow dynamics under the different MHD forces. The flow pattern is traced for different Hartmann and Reynolds Numbers and the obtained results are discussed in detail.

AMS (MOS) Subject Classification. 76D07, 65K15, 65M60.
Key Words and Phrases. Stokes MHD, Inclination angle, Reynolds number, Hartmann number.