Computational study of flow and heat transfer analysis of Ellis fluid model in complicated divergent channel

Abstract

The current theoretical analysis reports the flow and heat transfer rate in the peristaltic flow of an Ellis fluid through the complex wavy divergent channel under the impact of the electro-osmotic phenomena and viscous dissipation. The governing equations of the current flow are based on the continuity equation, Cauchy’s momentum equations, Poisson–Boltzmann equation, and the heat equation. The momentum equation is updated with the addition of the Poisson equation to introduce the electro-osmotic effects on the given flow field. The energy equation is upgraded under the addition of the viscous dissipation term to capture the effects of the Brinkman number. The Poisson equation is linearized by adopting the Debye–Hückel approximation. The problem is transformed into a dimensionless form and solved analytically to present the analytical solution of the current flow problem. The analytical expression of longitudinal velocity, temperature field, and stream function is presented by using the symbolic mathematical software MATHEMATICA 12.0. The computational results reveal that the heat transfer rate is strongly affected by the power law index [Formula: see text] and dimensionless material parameter [Formula: see text]. The longitudinal velocity is diminishing against the power law index. The power law index parameter produces the trapping bolus inside the divergent channel for [Formula: see text].