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

Motivated by magnetic polymer manufacturing applications, the present research article examines theoretically 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 fifth-order nonlinear ordinary equation via similarity transformations with associated conditions. A semi-analytical/numerical scheme employing Lagrangian multipliers known as variational iteration method (VIM) is implemented solve value problem. Validation solutions conducted benchmarking against earlier Newtonian studies very good agreement achieved. detailed assessment impact (rheological), unsteadiness, body force parameter, wall transpiration (suction/injection) parameter on characteristics aid graphs. significant deceleration in computed increasing injection (acceleration caused greater suction) acceleration induced higher unsteadiness values. Increasing field (higher number) generates acceleration, rather than customary deceleration, sheet dynamics. stronger effect manifests strong retardation increase (hydrodynamic|) thickness. VIM demonstrates excellent convergence accuracy shows promise studying further fabrication problems.