Application of scaling group transformation on viscoelastic fluid with Cattaneo Christov heat flux model

Authors

  • Hameed Ullah Beijing Institute of Technology - School of Mathematics and Statistics
  • Huafei Sun Beijing Institute of Technology - School of Mathematics and Statistics
  • Limei Cao University of Science and Technology Beijing - School of Mathematics and Physics

Keywords:

scaling group transformation, UCM fluid, Cattaneo Christov heat flux

Abstract

In this paper Cattaneo Christov heat flux model is considered to analyze the heat transfer in radiated Maxwell fluid with velocity slip and temperature jump condition over a stretching plate and the Lie symmetry group transformations are used to convert the boundary layer equations into non-linear ordinary differential equations.  The dimensionless governing equations are solved numerically using Bvp4c with MATLAB, which is a collocation method equivalent to the fourth order mono-implicit Runge-Kutta method.  The effects of some physical parameters, such as elasticity number, velocity slip coefficient, the relaxation time of the heat flux, thermal slip parameter, radiation parameter and the Prandtle number on velocity and temperature fields are analyzed.

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Published

2019-07-30

How to Cite

Ullah, H., Sun, H., & Cao, L. (2019). Application of scaling group transformation on viscoelastic fluid with Cattaneo Christov heat flux model. Italian Journal of Pure and Applied Mathematics, 42, 181–195. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7248

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Section

Articoli - Forum Editrice

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