Peristaltic mechanism of couple stress nanomaterial in a tapered channel

Abstract

This paper addresses the analysis of chemical reaction for mixed convection peristaltic movement of electrically conducting couple stress nanomaterial in an asymmetric tapered porous channel under the influence of heat generation/absorption. The heat and mass performances of nanofluid are captured with an evaluation of the famous Buongiorno model, which enables us to determine the attractive features of Brownian motion and thermophoretic diffusion. The velocity slip and viscous dissipation effects are also be accounted. Mathematical modeling incorporates lubrication approximation. The expressions for temperature, pressure rise, concentration, velocity, pressure gradient, and streamlines are estimated numerically and scrutinized for dissimilar flow parameters such as magnetic parameter 1≤M≤4, Darcy number 0.1≤Da≤0.5, couple stress fluid parameter 3≤γ≤6, Brinkman number 1≤Br≤4, heat absorption parameter 1≤B≤2, Brownian motion parameter 1≤Nb≤4, thermophoresis parameter 1≤Nt≤4, Schmidt number 0.3≤Sc≤1.5 and chemical reaction parameter 0.4≤kc≤0.9. Furthermore, the skin friction and Nusselt number at the channel walls are established for a choice of assessments of significant parameters and which are exhibited in a tabular manner. Outcomes reveal that velocity and pressure gradient increase by enhancing the velocity slip parameter. Further, the thermophoresis parameter favors the nanofluid temperature and declines the concentration. To ensure the accuracy of the developed code, obtained results are compared with the results available in the literature and found in excellent agreement.

Keywords

• Peristalsis flow
• Nanomaterial
• Couple stress fluid
• Heat generation/absorption
• Tapered channel