Effect of Brownian Diffusion on Squeezing Elastico-Viscous Nanofluid Flow with Cattaneo-Christov Heat Flux Model in a Channel with Double Slip Effect

Md Enamul Karim,Md Abdus Samad

doi:10.4236/am.2020.114021

Abstract

The present study deals with the analysis of heat transfer of the unsteady Maxwell nanofluid flow in a squeezed rotating channel of a porous extensile surface subject to the velocity and thermal slip effects incorporating the theory of heat flow intensity of Cattaneo-Christov model for the expression of the energy distribution in preference to the classical Fourier’s law. A set of transformations is occupied to renovate the current model in a system of nonlinear ordinary differential equations that are numerically decoded with the help of MATLAB integrated function bvp4c. The effects of various flow control parameters are investigated for the momentum, temperature and diffusion profiles, as well as for the wall shearing stress and the heat and mass transfer. The results are finally described from the material point of view. A comparison of heat flux models of Cattaneo-Christov and Fourier is also performed. An important result from the present work is that the squeezing parameter is strong enough in the middle of the channel to retard the fluid flow.

Highlights

Few attempts have been made to study the transfer of heat and mass through a three-dimensional compression flow in a rotating channel, and the objective of the current work is to analyze the effect of thermal relaxation factor on the flow flux of time dependent Maxwell viscoelastic nanofluid that is squeezed in rotating parallel plates with porous stretched surface incorporating Cattaneo-Christov heat flux model
The present paper is to study the effect of thermal relaxation factor on the flow of Maxwell nanofluid squeezing in the parallel rotating plates with porous stretched surface incorporating Cattaneo-Christov heat flux model
The major outcomes drawn from the study of the present model can be summarized as follows: 1) The thermal boundary layer thickness rises for the Brownian motion parameter, squeezing parameter, stretching parameter and velocity slip parameter

Summary

Introduction

Fourier [1] proposed a heat flux model, named as heat conduction law that produces a parabolic energy equation that advocates an instantaneous change in the temperature of considered system at the beginning of any process. Cattaneo [2] introduced thermal relaxation time so as to produce the hyperbolic energy equation which permitted the heat transport through the transmission of thermal waves with finite speed. Ciarletta and Straughan [5] analyzed the stability and uniqueness of the solution of the energy equation for Cattaneo-Christov heat flux model. The inclusion of the thermal inertial in heat prorogation has effects in the heat transport in nano-material, nanofluids and many areas of ballistics and astrophysics [8] [9] [10]

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Conclusion