Scrutiny of entropy optimized tangent hyperbolic fluid (non-Newtonian) through perturbation and numerical methods between heated plates

M Ijaz Khan,Fayyaz Ahmad,Nasir Shehzad,Adila Saleem,Mubbashar Nazeer

doi:10.1177/1687814020970772

Abstract

Objective: Many methods have been used to maximize the capacity of heat transport. A constant pressure gradient or the motion of the wall can be used to increase the heat transfer rate and minimize entropy. The main goal of our investigation is to develop a mathematical model of a non-Newtonian fluid bounded within a parallel geometry. Minimization of entropy generation within the system also forms part of our objective. Method: Perturbation theory is applied to the nonlinear complex system of equations to obtain a series solution. The regular perturbation method is used to obtain analytical solutions to the resulting dimensionless nonlinear ordinary differential equations. A numerical scheme (the shooting method) is also used to validate the series solution obtained. Results: The flow and temperature of the fluid are accelerated as functions of the non-Newtonian parameter (via the power-law index). The pressure gradient parameter escalates the heat and volume flux fields. The energy loss due to entropy increases via the viscous heating parameter. A diminishing characteristic is predicted for the wall shear stress that occurs at the bottom plate versus the time-constant parameter. The Reynolds number suppresses the volume flux field.

Highlights

A fluid that does not obey Newton’s law of viscosity is called a non-Newtonian fluid
The tangent hyperbolic fluid is a non-Newtonian fluid that was established for use in biochemical and engineering systems
The magnetohydrodynamic (MHD) flow of a tangent hyperbolic fluid over a porous sheet was observed by Patil et al.[8]

Summary

Introduction

A fluid that does not obey Newton’s law of viscosity is called a non-Newtonian fluid. The magnetohydrodynamic (MHD) flow of a tangent hyperbolic fluid over a porous sheet was observed by Patil et al.[8] They used the shooting method to solve the complex equations involved. The combined properties of the magnetic field and viscous dissipation on the flow of a tangent hyperbolic fluid over a stretching sheet were captured by Hussain et al.[10] They computed their analytical and numerical results with the aid of the shooting and homotopy analysis methods. The main target of this study is to develop a mathematical analysis to reduce the energy losses due to continuous entropy generation for a tangent hyperbolic fluid inside the porous heated walls of a channel. The energy equation for the current problem can be written as:

K rC pv0

Concluding remarks