## THERMAL SCIENCE

International Scientific Journal

### Thermal Science - Online First

online first only
### Numerical and analytical approach for Sakiadis rheology of generalized polymeric material with magnetic field and heat source/sink

**ABSTRACT**

In this analysis, Sakiadis rheology of the generalized polymeric material has been presented with magnetic field and heat source/sink. Convective heating process with thermal radiations have been incorporated. Mathematical modelling has been performed for the conversion of physical problem into set of nonlinear equations. Suitable transformations have been employed in order to convert the derived PDEs into set of nonlinear ODEs. Analytical as well as finite difference method based numerical solutions for the velocity and temperature profiles are computed. Graphical and numerical illustrations have been presented in order to analyze the behavior of involved physical quantities. Error analysis for the nonlinear system has been presented in order to show the validity of the obtained results. Bar charts have been plotted to present the heat flux analysis. Tabular values of local Nusselt number are computed for the involved key parameters. Heat transfer rates against magnetic and porosity effects found to be decreased since magnetic field and porosity retard the molecular movement of the fluid particles. This controlling property of magnetic field and porosity effects have application in MHD power generation, electromagnetic casting of metals, MHD ion propulsion etc. Moreover internal heat generation and absorption effects have opposite effects on the fluid temperature.

**KEYWORDS**

PAPER SUBMITTED: 2018-04-26

PAPER REVISED: 2018-09-13

PAPER ACCEPTED: 2018-09-15

PUBLISHED ONLINE: 2018-10-06

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