On boundary layer nano-ferroliquid flow under the influence of low oscillating stretchable rotating disk
A new model is here proposed to investigate the effects of nano-ferroliquid under the influence of low oscillating over stretchable rotating disk. The basic governing equations are formulated under the effects of magnetic field. The resulting system of partial differential equations is first reduced...
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| Published in: | Journal of molecular liquids Vol. 229; pp. 339 - 345 |
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| Main Authors: | , , , |
| Format: | Journal Article |
| Language: | English |
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Elsevier B.V
01-03-2017
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| Online Access: | Get full text |
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| Abstract | A new model is here proposed to investigate the effects of nano-ferroliquid under the influence of low oscillating over stretchable rotating disk. The basic governing equations are formulated under the effects of magnetic field. The resulting system of partial differential equations is first reduced in non-dimensional form by using proper transformations and then reduced coupled system of differential equations is solved analytically by means of homotopy analysis method (HAM). The physical interpretation of velocity and temperature towards different emerging parameters such as particle concentration and effective magnetization parameter are discussed graphically. The physical parameters such as shear stress at wall, heat transfer rate through wall, boundary layer thickness and volume flow rate in axial direction are also presented in tabular form. Finally a comparison with the existing literature is made as a limiting case of the reported problem and found in good agreement.
•Boundary layer flow under the influence of low oscillating over stretchable rotating disk is presented.•Mathematical formulation is processed utilizing the nano-Ferroliquid models.•Magnetic effects are also taken into account.•Effects of sundry parameters are illustrated through graphs and table.•Homotopy analysis method is used to obtained analytical results. |
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| AbstractList | A new model is here proposed to investigate the effects of nano-ferroliquid under the influence of low oscillating over stretchable rotating disk. The basic governing equations are formulated under the effects of magnetic field. The resulting system of partial differential equations is first reduced in non-dimensional form by using proper transformations and then reduced coupled system of differential equations is solved analytically by means of homotopy analysis method (HAM). The physical interpretation of velocity and temperature towards different emerging parameters such as particle concentration and effective magnetization parameter are discussed graphically. The physical parameters such as shear stress at wall, heat transfer rate through wall, boundary layer thickness and volume flow rate in axial direction are also presented in tabular form. Finally a comparison with the existing literature is made as a limiting case of the reported problem and found in good agreement.
•Boundary layer flow under the influence of low oscillating over stretchable rotating disk is presented.•Mathematical formulation is processed utilizing the nano-Ferroliquid models.•Magnetic effects are also taken into account.•Effects of sundry parameters are illustrated through graphs and table.•Homotopy analysis method is used to obtained analytical results. |
| Author | Hassan, M. Ellahi, R. Tariq, M.H. Vafai, K. |
| Author_xml | – sequence: 1 givenname: R. surname: Ellahi fullname: Ellahi, R. email: rellahi@engr.ucr.edu, rahmatellahi@yahoo.com organization: Department of Mechanical Engineering, Bourns Hall, University of California Riverside, USA – sequence: 2 givenname: M.H. surname: Tariq fullname: Tariq, M.H. organization: Department of Mathematics & Statistics, FBAS, IIUI, H-10 Sector, Islamabad, Pakistan – sequence: 3 givenname: M. surname: Hassan fullname: Hassan, M. organization: Department of Mathematics, Faculty of Sciences, HITEC University, Taxila Cantt, Pakistan – sequence: 4 givenname: K. surname: Vafai fullname: Vafai, K. organization: Department of Mechanical Engineering, Bourns Hall, University of California Riverside, USA |
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| Snippet | A new model is here proposed to investigate the effects of nano-ferroliquid under the influence of low oscillating over stretchable rotating disk. The basic... |
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| Title | On boundary layer nano-ferroliquid flow under the influence of low oscillating stretchable rotating disk |
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