Current issue
Archive
About the Journal
About
Editorial Board
Abstract & Indexing
Contact
Editorial Policies
Authorship & COI
Ethical principles
Principles of Transparent Checklist
Open access
For Authors
Instructions to Authors
Detailing Guidelines for Authors
Review process
Review sheet
How to submit
Open Access license
ORIGINAL PAPER
Slip Effects on Boundary Layer Flow and Heat Transfer Along a Stretching Cylinder
1
Department of Mathematics The University of Burdwan Burdwan-713104, W.B., INDIA
2
Department of Mechanical Engineering Cleveland State University Cleveland, OH 44115, USA
Online publication date: 2013-06-08
Publication date: 2013-06-01
International Journal of Applied Mechanics and Engineering 2013;18(2):447-459
KEYWORDS
ABSTRACT
An axi-symmetric laminar boundary layer flow of a viscous incompressible fluid and heat transfer towards a stretching cylinder is presented. Velocity slip is considered instead of the no-slip condition at the boundary. Similarity transformations are used to convert the partial differential equations corresponding to the momentum and heat equations into non-linear ordinary differential equations. Numerical solutions of these equations are obtained by the shooting method. It is found that the velocity decreases with increasing the slip parameter. The skin friction as well as the heat transfer rate at the surface is larger for a cylinder compared to those for a flat plate.
REFERENCES (21)
1.
Abbas Z., Wang Y., Hayat T. and Oberlack M. (2009): Slip effects and heat transfer analysis in a viscous fluid over an oscillatory stretching surface. - Int. J. of Numer. Meth. Fluids, vol.59, pp.443-458.
2.
Ali M.E. (1994): Heat transfer characteristics of a continuous stretching surface. - Heat Mass Transfer, vol.29, pp.227-234.
3.
Andersson H.I. (2002): Slip flow past a stretching surface. - Acta Mech., vol.158, pp.121-125.
4.
Ariel P.D. (2008): Two dimensional stagnation point flow of an elastico-viscous fluid with partial slip. - Z. Angew. Math. Mech., vol.88, pp.320-324.
5.
Ariel P.D., Hayat T. and Asghar S. (2006): The flow of an elastico-viscous fluid past a stretching sheet with partial slip. - Acta Mech., vol.187, pp.29-35.
6.
Chen C.K. and Char M.I. (1988): Heat transfer of a continuous stretching surface with suction or blowing. - J. Math Anal. Appl., vol.135, pp.568-580.
7.
Cortell R. (2005): Flow and heat transfer of a fluid through a porous medium over a stretching surface with internal heat generation/absorption and suction/blowing. - Fluid Dynamics Resc., vol.37, pp.231-245.
8.
Cortell R. (2006): Effects of viscous dissipation and work done by deformation on the MHD flow and heat transfer of a viscoelastic fluid oever a stretching sheet. - Physics Letters A, vol.357, pp.298-305.
9.
Crane L.J. (1970): Flow past a stretching plate. - Z. Angew Math. Phys., vol.21, pp.645-647.
10.
Datta B.K., Roy P. and Gupta A.S. (1985): Temperature field in the flow over a stretching sheet with uniform heat flux. - Int. Comm. Heat Mass Transfer, vol.12 , pp.89-94.
11.
Grubka L.G. and Bobba K.M. (1985): Heat transfer characteristics of a continuous stretching surface with variable temperature. - ASME J. Heat Transfer, vol.107, pp.248-250.
12.
Gupta P.S. and Gupta A.S. (1977): Heat and mass transfer on a stretching sheet with suction or blowing. - Can. J.
14.
Hayat T., Abbas Z. and Sajid M. (2006): Series solution for the upper-convected Maxwell fluid over a porous stretching plate. - Physics Letters A, vol.358, pp.396-403.
15.
Hayat T. and Sajid M. (2007): Analytic solution for axi-symmetric flow and heat transfer of a second grade fluid past a stretching sheet. - Int. J. of Heat and Mass Transfer, vol.50, pp.75-84.
16.
Ishak A. and Nazar R. (2009): Laminar boundary layer flow along a stretching cylinder. - Euro. J. of Sci. Resc., vol.36, No.1, pp.22-29.
17.
Lin H.T. and Shih Y.P. (1980): Laminar boundary layer heat transfer along static and moving cylinders. - J. Chin. Inst. Eng., vol.3, pp.73-79.
18.
Lin H.T. and Shih Y.P. (1981): Buoyancy effects on the laminar boundary layer heat transfer along vertically moving cylinders. - J. Chin. Inst. Eng., vol.4, pp.47-51.
19.
Wang C.Y. (2002): Flow due to a stretching boundary with partial slip - an exact solution of the Navier-Stokes equations. - Chem. Eng. Sci., vol.57, pp.3745-3747.
20.
Xu H. and Liao S.J. (2005): Series solutions of unsteady magnetohydrodynamics flows of non-Newtonian fluids caused by an impulsively stretching plate. - J. of Non-Newtonian Fluid Mech., vol.159, pp.46-55.
21.
Yoshimura A. and Prudhomme R.K. (1998): Wall slip corrections for Couette and parallel disc viscometers. - J. Rheol., vol.32, pp.53-67.
Share
RELATED ARTICLE
| eISSN: | 2353-9003 |
| ISSN: | 1734-4492 |
Task: edition of a scientific journal, its internationalization and ensuring open access to the journal via the Internet
© 2006-2024 Journal hosting platform by Bentus
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
