Numerical study focusing on the entropy analysis of MHD squeezing flow of a nanofluid model using Cattaneo–Christov theory

N Akmal,M Sagheer,S Hussain

doi:10.1063/1.5029959

Abstract

The present study gives an account of the heat transfer characteristics of the squeezing flow of a nanofluid between two flat plates with upper plate moving vertically and the lower in the horizontal direction. Tiwari and Das nanofluid model has been utilized to give a comparative analysis of the heat transfer in the Cu-water and Al2O3–water nanofluids with entropy generation. The modeling is carried out with the consideration of Lorentz forces to observe the effect of magnetic field on the flow. The Joule heating effect is included to discuss the heat dissipation in the fluid and its effect on the entropy of the system. The nondimensional ordinary differential equations are solved using the Keller box method to assess the numerical results which are presented by the graphs and tables. An interesting observation is that the entropy is generated more near the lower plate as compared with that at the upper plate. Also, the heat transfer rate is found to be higher for the Cu nanoparticles in comparison with the Al2O3 nanoparticles.

Highlights

The inclusion of time relaxtion factor by Catteneo[1] to the classical Fourier’s Law[2] of heat coduction opened new fronts of heat transport phenomena in the processes involving heat transfer
The so called Cattaneo–Christov heat flux model was studied for stability and uniqueness of the solution of the temperature equation by Ciarletta and Straughan.[9]
Mustafa[14] used the Cattaneo—Christov heat flux model to study the rotating flow of viscoelastic fluid surrounded by the stretching surface

Summary

Introduction

The inclusion of time relaxtion factor by Catteneo[1] to the classical Fourier’s Law[2] of heat coduction opened new fronts of heat transport phenomena in the processes involving heat transfer. Heat transport phenomenon has been pondered upon by many researches interested in this field.[3,4,5,6,7] Fourier’s law advocated an immediate change in the system’s temperature at the start of any process, while Cattaneo suggested that there is a time relaxation factor which he called the “thermal inertia”. Waqas et al.[15] discussed the boundary layer flow of Burger’s fluid modeled with the Cattaneo—Christov heat flux approach They were able to develop a convergent series solution and observed that temperature is inversely proportional to the thermal relaxation time

Results

Discussion

Conclusion