Unsteady magnetohydrodynamic couple stress fluid flow from a shrinking porous sheet: Variational iteration method study

Abstract

Motivated by magnetic polymer manufacturing applications, the present research article examines theoretically the hydromagnetic boundary layer flow of an electrically conducting non-Newtonian couple stress fluid due to a transient shrinking (contracting) porous sheet. The conservation partial differential equations for mass and momentum are rendered into a fifthorder nonlinear ordinary differential equation via similarity transformations with associated boundary conditions. A semi-analytical/numerical scheme employing Lagrangian multipliers and known as the variational iteration method (VIM) is implemented to solve the ordinary differential boundary value problem. Validation of the solutions is conducted by benchmarking against earlier Newtonian studies and very good agreement is achieved. A detailed assessment of the impact of couple stress (rheological), unsteadiness, magnetic body force parameter, and wall transpiration (suction/injection) parameter on flow characteristics is conducted with the aid of graphs. A significant deceleration in the flow is computed with increasing injection (acceleration is caused with greater suction) and acceleration is induced with higher unsteadiness parameter values. Increasing magnetic field (higher magnetic number) generates flow acceleration, rather

Analytical solution to boundary layer flow and convective heat transfer for low Prandtl number fluids under the magnetic field effect over a flat plate

“…Reddy et al 12 explores unsteady magnetohydrodynamic (MHD) couple stress fluid flow over a shrinking porous sheet using the VIM. Investigating the impact of magnetic fields and couple stress on fluid dynamics, the study employs a mathematical approach to analyze the unsteady behavior.…”

Study of the time dependent MHD convective couple stress nanofluid flow across bidirectional periodically stretched frame using the homotopy analysis method

“…Kumar et al [28] used the differential transform approach to compute the analysis simulations due to free convective flow of couple stress fluid over stretched surface. The unsteady flow of couple stress fluid associated to the shrinking surface flow has been analyzed by Reddy et al [29]. Aziz et al [30] discussed the bidirectional flow of couple stress nanofluid in the presence of radiative phenomenon.…”

A fractional model of magnetohydrodynamics Oldroyd-B fluid with couple stresses, heat and mass transfer: A comparison among Non-Newtonian fluid models

“…Some other aspects of CSF fluid with the super critical heat transfer analysis of the flow due to a vertical cylinder with applications is inspected by Basha et al [ 16 ]. Moreover, Herimath et al [ 17 ] and Reddy et al [ 18 ] developed CSF model and calculated the numerical investigations in the heat and mass transfer phenomena under the influence of moving cylinder and shrinking porous sheet. Mehmood et al [ 19 ] explained the effects of thermal diffusion on the flow of couple stress fluid over a stretched plate with the applications of high order chemical reaction.…”