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

Nonlinear engineering: Modeling and application

article

Mahesh Kumar¹ 

[1] Central University of Karnataka

关键词: DTM;    Jeffrey fluid;    heat transfer;    stretching sheet;   

DOI  :  10.1515/nleng-2020-0004

来源: De Gruyter

【 摘 要 】

This 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.

【 授权许可】

Unknown