A study on the flow of couple stress fluid in a porous curved channel

One significance of the fluid flow in a curved channel is the generation of centrifugal forces. However, nothing is known on the hydrodynamic study of a couple stress fluid flowing in a porous curved channel. The proposed work, concerns with the flow of couple stress fluid in a porous curved channel and analysing the generating centrifugal force. Here, the flow of fluid in the porous curved channel takes place due to the constant pressure gradient. In this work, the effect of the radius of curvature and permeability parameters are examined on the flow velocity and temperature profiles of the considered fluid. The aim of this study is to analyse the flow pattern of the couple stress fluid, measure the rate of heat transfer, and volumetric flow rate, when fluid flow through porous curved channel. The proposed model is useful in the biofluid mechanics, nuclear reactors, and in oil and chemical industries. The present model, i.e., the flow of couple stress fluid in a porous curved channel, governs by the highly non-linear coupled differential equations which are solved by using Homotopy Analysis Method (HAM). Through this work, it is concluded that couple stress fluid's velocity and temperature is smaller in magnitude than that of the Newtonian fluid. Further, it is noticed that the fluid's flow velocity and temperature in porous curved channel is reduced significantly on increasing the curvature parameter, permeability parameter, and on reducing the couple stress parameter.