Theoretical analysis of slip flow on a rotating cone with viscous dissipation effects

This paper is concerned with the mutual effects of viscous dissipation and slip effects on a rotating vertical cone in a viscous fluid. Similarity solutions for rotating cone with wall temperature boundary conditions provides a system of nonlinear ordinary differential equations which have been trea...

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Bibliographic Details
Published inJournal of hydrodynamics. Series B Vol. 27; no. 4; pp. 616 - 623
Main Authors SALEEM, S., NADEEM, S.
Format Journal Article
LanguageEnglish
Published Singapore Elsevier Ltd 01.08.2015
Springer Singapore
Department of Mathematics, C0MSATS Institute of Information Technology, Attock 43600, Pakistan%Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan
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ISSN1001-6058
1878-0342
DOI10.1016/S1001-6058(15)60523-6

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Summary:This paper is concerned with the mutual effects of viscous dissipation and slip effects on a rotating vertical cone in a viscous fluid. Similarity solutions for rotating cone with wall temperature boundary conditions provides a system of nonlinear ordinary differential equations which have been treated by optimal homotopy analysis method(OHAM). The obtained analytical results in comparison with the numerical ones show a noteworthy accuracy for a special case. Effects for the velocities and temperature are revealed graphically and the tabulated values of the surface shear stresses and the heat transfer rate are entered in tables. From the study it is seen that the slip parameter γ enhances the primary velocity while the secondary velocity reduces. Further it is observed that the heat transfer rate Nu Re-1/2x increases with Eckert number Ec and Prandtl number Pr.
Bibliography:31-1563/T
mixed convection,incompressible flow,differential equations,slip effects,viscous dissipation
This paper is concerned with the mutual effects of viscous dissipation and slip effects on a rotating vertical cone in a viscous fluid. Similarity solutions for rotating cone with wall temperature boundary conditions provides a system of nonlinear ordinary differential equations which have been treated by optimal homotopy analysis method(OHAM). The obtained analytical results in comparison with the numerical ones show a noteworthy accuracy for a special case. Effects for the velocities and temperature are revealed graphically and the tabulated values of the surface shear stresses and the heat transfer rate are entered in tables. From the study it is seen that the slip parameter γ enhances the primary velocity while the secondary velocity reduces. Further it is observed that the heat transfer rate Nu Re-1/2x increases with Eckert number Ec and Prandtl number Pr.
SALEEM S., NADEEM S.( 1. Department of Mathematics, COMSATS Institute of Information Technology, Attock 43600, Pakistan 2. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan)
ISSN:1001-6058
1878-0342
DOI:10.1016/S1001-6058(15)60523-6