Predictive modelling of MHD time-dependent multiphase fluid dynamics in curved corrugated channels: A small corrugations approximation approach

Abstract

High-performance electronic devices require precise control over fluid movement in corrugated channels. Magnetohydrodynamics effects can improve cooling efficiency. Better mixing and reaction rates can be obtained in chemical reactors having corrugated channels. By controlling the flow of reactive fluids, MHD effects can improve the effectiveness of chemical reactions. Thus, the study aims to predict the dynamics of hydromagnetic fluid flow in clear medium sandwiching porous viscous fluid under oscillatory time-dependent pressure gradient in corrugated curved channels with chemical reaction for efficient chemical processing applications. It might be helpful in the prediction of magnetic resonance-enhanced reactions and improved catalyst distribution. Moreover, corrugated walls can be used as an optimized reactor geometry. To the best of the authors' knowledge, there is no single study given on three immiscible fluids flowing through a corrugated CC in the presence of a chemical reaction. In this study, the curved channel is distributed in three regions with two interfaces. Regions-I and III are occupied with hydromagnetic viscous fluids within a clear medium whereas the middle region is filled with viscous fluid in porous media. The velocity slippage at the corrugated walls is also considered which helps the fluid to flow easily at the surface, as a result, increased separation efficiency can be achieved. The effects of curvature, Lorentz force produced by the magnetic field, porous media and velocity slippage on the flow dynamics, shear stress and volumetric flow rate are examined using analytical simulations (perturbation series method). The numerical analysis of concentration is made through the shooting technique. It is concluded that the fluid velocity, concentration and volumetric flow rate increase with higher curvature which can enhance the mixing and reaction rates, leading to improved process efficiency. When time passes, the size of velocity and circular shape of the flow pattern decreases in region III and the fluid layers move towards the lower corrugated wall of CC.