Application of Homotopy Analysis Method to the Unsteady Squeezing Flow of a Second‐Grade Fluid between Circular Plates

Abstract

We investigated an axisymmetric unsteady two-dimensional flow of nonconducting, incompressible second grade fluid between two circular plates. The similarity transformation is applied to reduce governing partial differential equation (PDE) to a nonlinear ordinary differential equation (ODE) in dimensionless form. The resulting nonlinear boundary value problem is solved using homotopy analysis method and numerical method. The effects of appropriate dimensionless parameters on the velocity profiles are studied. The total resistance to the upper plate has been calculated.

Unsteady mixed nano-bioconvection flow in a horizontal channel with its upper plate expanding or contracting

“…They also considered the dissipation effects and chemical reaction. Rashidi et al [11,12] examined and solved the hydrodynamic squeezing flow of a viscous fluid and unsteady squeezing flow of a 2nd grade fluid between circular plates by homotopy analysis method.…”

Transient electromagnetohydrodynamic radiative squeezing flow between two parallel Riga plates using a spectral local linearization approach

“…Zhao et al investigated numerically with R‐K method on an unsteady bio convective squeezing flow containing motile microorganisms with homogeneous chemical reaction and magnetic effects. The time dependent compressing stream of a second‐grade fluid within circular boundaries was investigated by Rashidi et al by adopting HAM. Ran et al investigated an explicit series elucidation of the compacting movement in the middle of two infinite plates using HAM.…”

On Squeezed Flow of Jeffrey Nanofluid between Two Parallel Disks

“…Siddiqui et al [25] examined squeezing flow subject to an applied magnetic field. Rashidi et al [26] performed an analysis of hydrodynamic squeezing flow by developing series solutions. Some other investigations on squeezing flow can be seen in the studies [27][28][29][30].…”