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 the Rabinowitsch fluid model and equations of fluid motion along with heat transfer. It is of interest in this work to study the effects of EOFs, which are rigid spherical particles that are suspended in the Rabinowitsch fluid, the Grashof parameter, heat source, and elasticity on the shear stress of the Rabinowitsch fluid model and flow quantities. The solutions are achieved by taking long wavelength approximation with the 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. A biomedical application to the problem is presented. The present analysis is particularly important in biomedicine and physiology.
Highlights
The movement of blood liquids is an important study for the mathematical simulation of medical applications
Rabinowitsch fluid is one of the fluids that simulate blood movement because the Rabinowitsch model effectively relies on studying the result of lubricant additives, for a wide range of shear rates, and studying their experimental data
Through those recent actions based on the Rabinowitsch model, Akbar and Butt [1] studied the flow of the Rabinowitsch model due to the cilia located on the wall
Summary
The movement of blood liquids is an important study for the mathematical simulation of medical applications. Rabinowitsch fluid is one of the fluids that simulate blood movement because the Rabinowitsch model effectively relies on studying the result of lubricant additives, for a wide range of shear rates, and studying their experimental data. The study of the movement of suspended particles inside the fluid is considered the most important medical application. Because biological flows depend on their flexible flow fields, and this appears through their flexible nature, the flow and the movement of Newtonian and non-Newtonian fluids through walls of a flexible nature carry many important medical applications such as blood flow through the arteries, small blood vessels, heart systems, and others, which, according to some studies, revealed that the velocity of the blood is greatly affected by the elastic placement of the walls.
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