Leveraging elasticity to uncover the role of Rabinowitsch suspension
through a wavelike conduit
Abstract
The present work presents a mathematical investigation of a Rabinowitsch
suspension fluid through elastic walls with heat transfer under the
effect of electroosmotic forces (EOFs). The governing equations contain
empirical stress-strain equations of Rabinowitsch fluid model, equations
of fluid motion along with heat transfer. It is of interest in this work
to study the effects of EOFs, rigid spherical particles which are
suspended in the Rabinowitsch fluid, Grashof parameter, heat source and
elasticity on the shear stress of Rabinowitsch fluid model and flow
quantities. The solutions are achieved by taking long wavelength
approximation with creeping flow system. A comparison is set between the
effect of pseudoplasticity and dilatation on the behaviour of shear
stress, axial velocity and pressure rise. Physical behaviours have been
graphically discussed. It was found that the Rabinowitsch and
electroosmotic parameters enhance the shear stress while they reduce the
pressure gradient. The present analysis is particularly important in
biomedicine and physiology.