Numerical Study of Viscoelastic Micropolar Heat Transfer from a Vertical Cone for Thermal Polymer Coating
A mathematical model is developed to study laminar, nonlinear, non-isothermal, steady-state free convection boundary layer flow and heat transfer of a micropolar viscoelastic fluid from a vertical isothermal cone. The Eringen model and Jeffery’s viscoelastic model are combined to simulate the non-Ne...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2019-01-01
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| Series: | Nonlinear Engineering |
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| Online Access: | https://doi.org/10.1515/nleng-2018-0064 |
| _version_ | 1818598221862141952 |
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| author | Madhavi K. Ramachandra Prasad V. Subba Rao A. Anwar Bég O. Kadir A. |
| author_facet | Madhavi K. Ramachandra Prasad V. Subba Rao A. Anwar Bég O. Kadir A. |
| author_sort | Madhavi K. |
| collection | DOAJ |
| description | A mathematical model is developed to study laminar, nonlinear, non-isothermal, steady-state free convection boundary layer flow and heat transfer of a micropolar viscoelastic fluid from a vertical isothermal cone. The Eringen model and Jeffery’s viscoelastic model are combined to simulate the non-Newtonian characteristics of polymers, which constitutes a novelty of the present work. The transformed conservation equations for linear momentum, angular momentum and energy are solved numerically under physically viable boundary conditions using a finite difference scheme (Keller Box method). The effects of Deborah number (De), Eringen vortex viscosity parameter (R), ratio of relaxation to retardation times (λ), micro-inertia density parameter (B), Prandtl number (Pr) and dimensionless stream wise coordinate (ξ) on velocity, surface temperature and angular velocity in the boundary layer regime are evaluated. The computations show that with greater ratio of retardation to relaxation times, the linear and angular velocity are enhanced whereas temperature (and also thermal boundary layer thickness) is reduced. Greater values of the Eringen parameter decelerate both the linear velocity and micro-rotation values and enhance temperatures. Increasing Deborah number decelerates the linear flow and Nusselt number whereas it increases temperatures and boosts micro-rotation magnitudes. The study is relevant to non-Newtonian polymeric thermal coating processes. |
| first_indexed | 2024-12-16T12:00:16Z |
| format | Article |
| id | doaj.art-b8f53297a9704d4ebae681179a97e8e0 |
| institution | Directory Open Access Journal |
| issn | 2192-8010 2192-8029 |
| language | English |
| last_indexed | 2024-12-16T12:00:16Z |
| publishDate | 2019-01-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonlinear Engineering |
| spelling | doaj.art-b8f53297a9704d4ebae681179a97e8e02022-12-21T22:32:27ZengDe GruyterNonlinear Engineering2192-80102192-80292019-01-018144946010.1515/nleng-2018-0064nleng-2018-0064Numerical Study of Viscoelastic Micropolar Heat Transfer from a Vertical Cone for Thermal Polymer CoatingMadhavi K.0Ramachandra Prasad V.1Subba Rao A.2Anwar Bég O.3Kadir A.4Department of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-517325, IndiaDepartment of Mathematics, School of Advanced Sciences, VIT University, Vellore, IndiaDepartment of Mathematics, Madanapalle Institute of Technology and Science, Madanapalle-517325, IndiaFluid Mechanics, Nanosystems and Propulsion, Aeronautical/Mechanical Engineering, School of Computing, Science, Engineering, Newton Bldg, University of Salford, ManchesterM54WT, United KingdomMaterials, Corrosion and Structures, Petroleum and Gas Engineering, School of Computing, Science and Engineering, Newton Building, University of Salford, ManchesterM54WT, United KingdomA mathematical model is developed to study laminar, nonlinear, non-isothermal, steady-state free convection boundary layer flow and heat transfer of a micropolar viscoelastic fluid from a vertical isothermal cone. The Eringen model and Jeffery’s viscoelastic model are combined to simulate the non-Newtonian characteristics of polymers, which constitutes a novelty of the present work. The transformed conservation equations for linear momentum, angular momentum and energy are solved numerically under physically viable boundary conditions using a finite difference scheme (Keller Box method). The effects of Deborah number (De), Eringen vortex viscosity parameter (R), ratio of relaxation to retardation times (λ), micro-inertia density parameter (B), Prandtl number (Pr) and dimensionless stream wise coordinate (ξ) on velocity, surface temperature and angular velocity in the boundary layer regime are evaluated. The computations show that with greater ratio of retardation to relaxation times, the linear and angular velocity are enhanced whereas temperature (and also thermal boundary layer thickness) is reduced. Greater values of the Eringen parameter decelerate both the linear velocity and micro-rotation values and enhance temperatures. Increasing Deborah number decelerates the linear flow and Nusselt number whereas it increases temperatures and boosts micro-rotation magnitudes. The study is relevant to non-Newtonian polymeric thermal coating processes.https://doi.org/10.1515/nleng-2018-0064jeffrey’s viscoelastic modeleringen micropolar modelnon-newtonian polymersdeborah numberkeller-box methodheat transferboundary layersskin frictionnusselt numberthermal coating systems |
| spellingShingle | Madhavi K. Ramachandra Prasad V. Subba Rao A. Anwar Bég O. Kadir A. Numerical Study of Viscoelastic Micropolar Heat Transfer from a Vertical Cone for Thermal Polymer Coating Nonlinear Engineering jeffrey’s viscoelastic model eringen micropolar model non-newtonian polymers deborah number keller-box method heat transfer boundary layers skin friction nusselt number thermal coating systems |
| title | Numerical Study of Viscoelastic Micropolar Heat Transfer from a Vertical Cone for Thermal Polymer Coating |
| title_full | Numerical Study of Viscoelastic Micropolar Heat Transfer from a Vertical Cone for Thermal Polymer Coating |
| title_fullStr | Numerical Study of Viscoelastic Micropolar Heat Transfer from a Vertical Cone for Thermal Polymer Coating |
| title_full_unstemmed | Numerical Study of Viscoelastic Micropolar Heat Transfer from a Vertical Cone for Thermal Polymer Coating |
| title_short | Numerical Study of Viscoelastic Micropolar Heat Transfer from a Vertical Cone for Thermal Polymer Coating |
| title_sort | numerical study of viscoelastic micropolar heat transfer from a vertical cone for thermal polymer coating |
| topic | jeffrey’s viscoelastic model eringen micropolar model non-newtonian polymers deborah number keller-box method heat transfer boundary layers skin friction nusselt number thermal coating systems |
| url | https://doi.org/10.1515/nleng-2018-0064 |
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