Development and theoretical analysis of slippery walls flow of third-grade fluid through the convergent symmetric channel

Abstract

The present investigation is a study of third-grade fluid muddled with tiny-sized round-shaped hafnium particles drifting through a convergent geometry under the influence of slip boundary conditions. The impact of electro-osmotic is also examined in this investigation. The Debye Hückel linearization is used to investigate the current problem. Fluid and particulate phases are illustrated in convergent geometry having momentous utilizations in industry and different strolls of science. The problem is modeled in terms of nonlinear complex differential equations by using the fluid and particle phase models. The normalized quantities are used to convert the dimensional equations into dimensionless form and the perturbation method is selected to obtain the solution in analytical form. The effects of pertinent parameters on each type of flow are also presented graphically. Promotion in the velocity profile is observed for the volumetric flow parameter. The slip parameter boost motion of the fluid particle inside the channel. The current study can be utilized in the chemical industry, reservoir engineering, and microfabrication technique in which mass exchanges and electro-osmotic energy play a vital role.