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Mathematics 2017, 5(2), 27; doi:10.3390/math5020027

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

1
Sarhad University of Science and Information Technology, Peshawar 25000, Pakistan
2
Department1of Mathematics, Abdul Wali Khan University, Mardan 25000, Pakistan
3
Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad 25000, Pakistan
4
Department of Mathematics, Islamia College, Peshawar 25000, Pakistan
*
Author to whom correspondence should be addressed.
Received: 3 January 2017 / Revised: 26 April 2017 / Accepted: 6 May 2017 / Published: 16 May 2017
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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 β 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) β increase. View Full-Text
Keywords: magneto-hydrodynamics (MHD) flow; heat transfer; wire coating; Viscoelastic fluid; porosity; homotopy analysis method (HAM); ND-solve method magneto-hydrodynamics (MHD) flow; heat transfer; wire coating; Viscoelastic fluid; porosity; homotopy analysis method (HAM); ND-solve method
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Khan, Z.; Khan, M.A.; Islam, S.; Jan, B.; Hussain, F.; Ur Rasheed, H.; Khan, W. Analysis of Magneto-hydrodynamics Flow and Heat Transfer of a Viscoelastic Fluid through Porous Medium in Wire Coating Analysis. Mathematics 2017, 5, 27.

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