Analysis of Magneto-hydrodynamics Flow and Heat Transfer of a Viscoelastic Fluid through Porous Medium in Wire Coating Analysis
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-05-01
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| Series: | Mathematics |
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| Online Access: | http://www.mdpi.com/2227-7390/5/2/27 |
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| author | Zeeshan Khan Muhammad Altaf Khan Saeed Islam Bilal Jan Fawad Hussain Haroon Ur Rasheed Waris Khan |
| author_facet | Zeeshan Khan Muhammad Altaf Khan Saeed Islam Bilal Jan Fawad Hussain Haroon Ur Rasheed Waris Khan |
| author_sort | Zeeshan Khan |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-21T17:15:14Z |
| format | Article |
| id | doaj.art-f7dc63d178434be59f613bf96cd1b47c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-21T17:15:14Z |
| publishDate | 2017-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-f7dc63d178434be59f613bf96cd1b47c2022-12-21T18:56:19ZengMDPI AGMathematics2227-73902017-05-01522710.3390/math5020027math5020027Analysis of Magneto-hydrodynamics Flow and Heat Transfer of a Viscoelastic Fluid through Porous Medium in Wire Coating AnalysisZeeshan Khan0Muhammad Altaf Khan1Saeed Islam2Bilal Jan3Fawad Hussain4Haroon Ur Rasheed5Waris Khan6Sarhad University of Science and Information Technology, Peshawar 25000, PakistanDepartment1of Mathematics, Abdul Wali Khan University, Mardan 25000, PakistanDepartment1of Mathematics, Abdul Wali Khan University, Mardan 25000, PakistanSarhad University of Science and Information Technology, Peshawar 25000, PakistanDepartment of Mathematics, Abbottabad University of Science and Technology, Abbottabad 25000, PakistanSarhad University of Science and Information Technology, Peshawar 25000, PakistanDepartment of Mathematics, Islamia College, Peshawar 25000, PakistanWire 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.http://www.mdpi.com/2227-7390/5/2/27magneto-hydrodynamics (MHD) flowheat transferwire coatingViscoelastic fluidporosityhomotopy analysis method (HAM)ND-solve method |
| spellingShingle | Zeeshan Khan Muhammad Altaf Khan Saeed Islam Bilal Jan Fawad Hussain Haroon Ur Rasheed Waris Khan Analysis of Magneto-hydrodynamics Flow and Heat Transfer of a Viscoelastic Fluid through Porous Medium in Wire Coating Analysis Mathematics magneto-hydrodynamics (MHD) flow heat transfer wire coating Viscoelastic fluid porosity homotopy analysis method (HAM) ND-solve method |
| title | Analysis of Magneto-hydrodynamics Flow and Heat Transfer of a Viscoelastic Fluid through Porous Medium in Wire Coating Analysis |
| title_full | Analysis of Magneto-hydrodynamics Flow and Heat Transfer of a Viscoelastic Fluid through Porous Medium in Wire Coating Analysis |
| title_fullStr | Analysis of Magneto-hydrodynamics Flow and Heat Transfer of a Viscoelastic Fluid through Porous Medium in Wire Coating Analysis |
| title_full_unstemmed | Analysis of Magneto-hydrodynamics Flow and Heat Transfer of a Viscoelastic Fluid through Porous Medium in Wire Coating Analysis |
| title_short | Analysis of Magneto-hydrodynamics Flow and Heat Transfer of a Viscoelastic Fluid through Porous Medium in Wire Coating Analysis |
| title_sort | analysis of magneto hydrodynamics flow and heat transfer of a viscoelastic fluid through porous medium in wire coating analysis |
| topic | magneto-hydrodynamics (MHD) flow heat transfer wire coating Viscoelastic fluid porosity homotopy analysis method (HAM) ND-solve method |
| url | http://www.mdpi.com/2227-7390/5/2/27 |
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