Entropy generation and thermo-diffusion effects on unsteady chemically reactive slip flow between two rotating disks

Abstract

Purpose

The purpose of this study is to analyze the Entropy generation analysis and heat transport in three-dimensional flow between two stretchable disks. Joule heating and heat generation/absorption are incorporated in the thermal equation. Thermo-diffusion effect is also considered. Flow is conducting for time-dependent applied magnetic field. Induced magnetic field is not taken into consideration. Velocity and thermal slip conditions at both the disks are implemented. The flow problem is modeled by using Navier–Stokes equations with entropy generation rate and Bejan number.

Design/methodology/approach

Von Karman transformations are used to reduce the nonlinear governing expressions into an ordinary one and then tackled by homotopy analysis method for convergent series solutions. The nonlinear expressions for total entropy generation rate are obtained with appropriate transformations. The impacts of different flow variables on velocity, temperature, entropy generation rate and Bejan number are described graphically. Velocity, temperature and concentration gradients are discussed in the presence of flow variables.

Findings

Axial, radial and tangential velocity profiles show decreasing trend for larger values of velocity slip parameters. For a larger Brinkman number, the entropy generation increases, while a decreasing trend is noticed for Bejan number.

Originality/value

To the best of the authors’ knowledge, no such analyses have been reported in the literature.

Citation

Qayyum, S., Khan, M.I., Hayat, T. and Alsaedi, A. (2019), "Entropy generation and thermo-diffusion effects on unsteady chemically reactive slip flow between two rotating disks", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 29 No. 10, pp. 3795-3821. https://doi.org/10.1108/HFF-05-2018-0183