Unsteady magnetohydrodynamic couple stress fluid flow from a shrinking porous sheet: Variational iteration method study
2021
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 fifth order
non-linear 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.
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 than the
customary deceleration, due to the shrinking sheet dynamics. Stronger couple stress effect
manifests in a strong retardation in the boundary layer flow and an increase in momentum
(hydrodynamic|) boundary layer thickness. VIM demonstrates excellent convergence and accuracy
and shows significant promise in studying further magnetic polymer fabrication flow problems.
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