Transient rotating three-dimensional flow of micropolar fluid induced by Riga plate: Finite element approach

Abstract

This study assessed the boundary layer flow of micropolar fluid induced by the Riga plate. The significance of the flow is conducted from a rotating frame of perspective to produce consistency for enhanced thermodynamics across the Riga plate for fluid flow. The Riga plate is a familiar operator consisting of stably deployed magnetic and electrostatic elements that produce Lorentz force in an alternative way that substantially reduces with distance from the Riga plate. The unsteady, partially differentiated, three-dimensional expressions are reduced to two impartial dimensions ( τ , η ) . For steady-state responses, ( τ = 1 ) , Glerikin quantization is performed with MATLAB software for finite element simulation. For the resulting set of transformed equations, approximative series remedies are attained as convergent. The fluid temperature increased as a result of the rotational parameter, the Hartmann number, and the unstable parameter. The modifications to the Hartmann number ( M h ) and the material parameter ( Λ ) decelerate the primary flow velocity in the boundary layer region, while the secondary flow velocity accelerates. The greater modified Hartmann number ( M h ) and material parameters have a decreasing impact on the skin friction in the primary direction and an increasing impact on the magnitude of the coefficient in the secondary direction. An excellent agreement between the ongoing and previously existing results establishes the validity of the current findings.