Study of differential transform technique for transient hydromagnetic Jeffrey fluid flow from a stretching sheet

Mahesh Kumar

doi:10.1515/nleng-2020-0004

Abstract

AbstractThis article investigates the time-dependent MHD heat transfer flow of Jeffrey fluid from a stretching sheet, the topic significance to non-Newtonian viscoelastic material processing. Using similarity transformations, the governing coupled non-linear PDE’s are remodel into ODE’s with suitable free stream and wall boundary conditions. The developed non-dimensional non-linear problem is revealed to be analysed by several key thermosphysical and rheological parameters, namely, Jeffrey fluid parameter (λ), Deborah number (β), Prandtl number (Pr), buoyancy parameter (ξ), magnetic parameter (M) and unsteadiness parameter (A). The semi-exact differential transform technique is applied to elucidate the coupled nonlinear governing equation of non-Newtonian Jeffrey fluid problem. Also, the solution is validated with numerical results attained via the MATLAB bvp4c function. Excellent accurateness is attained through the DTM approach. Further validation with available consequences from the existing literature is incorporated. The results indicate that fluid velocity and temperature are boosted with increasing Deborah number and stretching parameter however it shows a decreasing trend with Jeffrey fluid parameter and convection parameter. It also shows when augmenting the magnetic parameter which reduces the flow and increases the thickness of the boundary layer.

Highlights

The ow of non-Newtonian uids with heat transfer from stretching surfaces ensures frequent engineering applications
The results indicate that uid velocity and temperature are boosted with increasing Deborah number and stretching parameter it shows a decreasing trend with Je rey uid parameter and convection parameter
The above-cited studies are circumscribed to viscous uid (Newtonian uids) and which are fails to explain the rheological behaviour in polymer processing, extrusion of plastics, glass blowing, biochemical industries, coating protection, etc., The modeling studies compacts with non-Newtonian uids o er interesting challenges to the many researchers and which speci cally mimic several complex characteristics of real industrialized uids including couple stresses, viscoelasticity, viscoplasticity, spurt, etc

Summary

Introduction

The ow of non-Newtonian uids with heat transfer from stretching surfaces ensures frequent engineering applications. In spite of various physical constitutions of non-Newtonian uids, among all the Je rey uid is one which constituents characterizing the noticeable features of retardation and relaxation times [15,16,17,18,19]. The application of Je rey uid includes notably polymer solutions and multi-phase systems namely, emulsion, slurries, foams, etc. It may consider as blood model [20,21,22]. Hamad et al [23] con-

Discussion

Conclusion