| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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Analytical and Numerical Approaches to Squeezing Flow and Heat Transfer between Two Parallel Disks with Velocity Slip and Temperature Jump |
| Amjad Hussain1**, Syed Tauseef Mohyud-Din2, Taqi Ahmed Cheema3 |
1Department of Mathematics, Zhejiang University, Hangzhou 310027
2Department of Mathematics, HITEC University, Taxila Cant, Pakistan
3School of Mechanical Engineering, Kyungpook National University, 1370 Sankyuk-dong, Buk-gu, Deagu, 702-701, Korea
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| Cite this article: |
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Amjad Hussain, Syed Tauseef Mohyud-Din, Taqi Ahmed Cheema 2012 Chin. Phys. Lett. 29 114705 |
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Abstract Analytic and numerical techniques are presented to analyze the influence of temperature and wall slip conditions on the unsteady flow and heat transfer via viscous fluid squeezed between two parallel disks in the presence of an applied magnetic field. The governing partial differential equations for momentum and heat transfer are reduced to a system of coupled nonlinear ordinary differential equations using similarity transformations. The homotopy analysis method (HAM) is then utilized to find explicit series solution of the resulting problem. The convergence of the obtained solution is carefully analyzed. To check the reliability of the method the same problem is also solved by using the shooting method and an excellent agreement is observed between the two sets of results. Influence of various parameters of practical importance on the velocity and temperature profiles is studied and portrayed graphically. Values of skin friction coefficient and local Nusselt number are tabulated by assigning different values to various emerging parameters.
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Received: 25 May 2012
Published: 28 November 2012
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| PACS: |
47.15.Rq
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(Laminar flows in cavities, channels, ducts, and conduits)
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44.05.+e
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(Analytical and numerical techniques)
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44.15.+a
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(Channel and internal heat flow)
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