Study of velocity and temperature distributions in boundary layer flow of fourth grade fluid over an exponential stretching sheet

Najeeb Alam Khan,Faqiha Sultan,Saif Ullah,Abdul Rehman,Umair Bin Saeed

doi:10.1063/1.5014047

Abstract

This study deals with the investigation of boundary layer flow of a fourth grade fluid and heat transfer over an exponential stretching sheet. For analyzing two heating processes, namely, (i) prescribed surface temperature (PST), and (ii) prescribed heat flux (PHF), the temperature distribution in a fluid has been considered. The suitable transformations associated with the velocity components and temperature, have been employed for reducing the nonlinear model equation to a system of ordinary differential equations. The flow and temperature fields are revealed by solving these reduced nonlinear equations through an effective analytical method. The important findings in this analysis are to observe the effects of viscoelastic, cross-viscous, third grade fluid, and fourth grade fluid parameters on the constructed analytical expression for velocity profile. Likewise, the heat transfer properties are studied for Prandtl and Eckert numbers.

Highlights

In the study of higher order non-linear fluid of differential type, there are a variety of industrial applications of such type of fluid
The flow characteristics of the fourth grade fluid were to be determined by the viscoelastic, cross-viscous, third grade fluid, and fourth grade fluid parameters while the heat transfer properties were subjected to the Prandtl and Eckert numbers
The solution of the governing equations was obtained by employing HAM

Summary

Introduction

In the study of higher order non-linear fluid of differential type, there are a variety of industrial applications of such type of fluid. In the matter of fact, there are several representations of non-Newtonian fluid which has been proposed. Hayat et al.[1] proposed a note on some solutions for the fourth grade fluid flow in porous medium. Heat transfer analysis of the steady flow of a fourth grade fluid has been investigated by Hayat et al.[2] For finding the solutions of non-linear peristaltic fourth grade fluid flow, Haroun[3] made an analysis on inclined asymmetric channel. The influence of an unsteady fourth grade fluid flow over a porous plate has been examined by Hayat et al.[4] Abd-Alla[5] addressed the effects of rotation on peristaltic transport along with initial stress of fourth grade fluid induced by magnetic effect and heat transfer

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Conclusion