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

Awais Muhammad (COMSATS University Islamabad, Department of Mathematics, Attock Campus, Attock, Pakistan)
Awan Saeed Ehsan (COMSATS University Islamabad, Department of Electrical Engineering, Attock Campus, Pakistan)
Aqsa (Quaid-i-Azam University Islamabad, Department of Mathematics, Islamabad, Pakistan)
Muqaddass Nimra (COMSATS University Islamabad, Department of Mathematics, Attock Campus, Attock, Pakistan)
Rehman Saeed Ur (COMSATS University Islamabad, Department of Electrical Engineering, Attock Campus, Pakistan)
Raja Muhammad Asif Zahoor (COMSATS University Islamabad, Department of Electrical Engineering, Attock Campus, Pakistan)

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 modeling has been performed for the conversion of physical problem into set of non-linear equations. Suitable transformations have been employed in order to convert the derived PDE into set of non-linear ODE. 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 non-linear 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: maximum ten generalized polymeric material, Oldroyd-B model, Sakiadis flow, Heat source/sink, magnetic field