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Analysis of Magneto-hydrodynamics Flow and Heat Transfer of a Viscoelastic Fluid through Porous Medium in Wire Coating Analysis

Zeeshan Khan, Muhammad Altaf Khan, Saeed Islam, Bilal Jan, Fawad Hussain, Haroon Ur Rasheed and Waris Khan
Additional contact information
Zeeshan Khan: Sarhad University of Science and Information Technology, Peshawar 25000, Pakistan
Muhammad Altaf Khan: Department1of Mathematics, Abdul Wali Khan University, Mardan 25000, Pakistan
Saeed Islam: Department1of Mathematics, Abdul Wali Khan University, Mardan 25000, Pakistan
Bilal Jan: Sarhad University of Science and Information Technology, Peshawar 25000, Pakistan
Fawad Hussain: Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 25000, Pakistan
Haroon Ur Rasheed: Sarhad University of Science and Information Technology, Peshawar 25000, Pakistan
Waris Khan: Department of Mathematics, Islamia College, Peshawar 25000, Pakistan

Mathematics, 2017, vol. 5, issue 2, 1-12

Abstract: Wire coating process is a continuous extrusion process for primary insulation of conducting wires with molten polymers for mechanical strength and protection in aggressive environments. Nylon, polysulfide, low/high density polyethylene (LDPE/HDPE) and plastic polyvinyl chloride (PVC) are the common and important plastic resin used for wire coating. In the current study, wire coating is performed using viscoelastic third grade fluid in the presence of applied magnetic field and porous medium. The governing equations are first modeled and then solved analytically by utilizing the homotopy analysis method (HAM). The convergence of the series solution is established. A numerical technique called ND-solve method is used for comparison and found good agreement. The effect of pertinent parameters on the velocity field and temperature profile is shown with the help of graphs. It is observed that the velocity profiles increase as the value of viscoelastic third grade parameter ? increase and decrease as the magnetic parameter M and permeability parameter K increase. It is also observed that the temperature profiles increases as the Brinkman number B r , permeability parameter K , magnetic parameter M and viscoelastic third grade parameter (non-Newtonian parameter) ? increase.

Keywords: magneto-hydrodynamics (MHD) flow; heat transfer; wire coating; Viscoelastic fluid; porosity; homotopy analysis method (HAM); ND-solve method (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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