Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-26T18:24:10.114Z Has data issue: false hasContentIssue false
  • English
  • Français

Natural Convection Heat and Mass Transfer From a Horizontal Cylinder of Elliptic Cross Section with Constant Wall Temperature and Concentration in Saturated Porous Media

Published online by Cambridge University Press:  05 May 2011

C.-Y. Cheng
C.-Y. Cheng*
Affiliation:
Department of Mechanical Engineering, Southern Taiwan University of Technology, Yungkang, Taiwan 71005, R.O.C.
*
* Professor
Get access

Abstract

This work studies the natural convection heat and mass transfer near a horizontal cylinder of elliptic cross section with constant wall temperature and concentration in a fluid-saturated porous medium. A coordinate transformation is used to obtain the nonsimilar governing boundary layer equations. The transformed governing equations are then solved by the cubic spline collocation method. Results for the local Nusselt and Sherwood numbers are presented as functions of the Lewis number, the buoyancy ratio, and the aspect ratio when the major axis of the elliptical cylinder is vertical (slender orientation) and horizontal (blunt orientation). The heat and mass transfer rates of the elliptical cylinder with slender orientation are higher than those with blunt orientation.

Keywords

Heat and mass transferNatural convectionPorous mediumCylinder of elliptic cross section
Type
Technical Note
Information
Journal of Mechanics , Volume 22 , Issue 3 , September 2006 , pp. 257 - 261
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2006

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Merkin, J. H., “Free Convection Boundary Layers on Axi-Symmetric and Two-Dimensional Bodies of Arbitrary Shape in a Saturated Porous Medium,” Int. J. Heat Mass Transfer, 22, pp. 1461–1462 (1979).CrossRefGoogle Scholar
2.Yücel, A., “Natural Convection Heat and Mass Transfer Along a Vertical Cylinder in a Porous Medium,” Int. Comm. Heat Mass Transfer, 33, pp. 2265–2274 (1990).CrossRefGoogle Scholar
3.Yih, K. A., “Coupled Heat and Mass Transfer by Natural Convection Adjacent to a Permeable Horizontal Cylinder in a Saturated Porous Medium,” Int. Comm. Heat Mass Transfer, 26, pp. 431–440 (1999).CrossRefGoogle Scholar
4.Merkin, J. H., “Free Convection Boundary Layers on Cylinders of Elliptic Cross Section,” J. Heat Transfer,99, pp. 453–457 (1977).CrossRefGoogle Scholar
5.Pop, I., Kumari, M. and Nath, G., “Free Convection About Cylinders of Elliptic Cross Section Embedded in a Porous Medium,” Int. J. Engng. Sci., 30, pp. 35–45 (1992).CrossRefGoogle Scholar
6.Liu, C., “Exact Solutions for a Fluid-Saturated Porous Medium with Heat and Mass Transfer,” J. Mech.,21, pp. 57–62 (2005).CrossRefGoogle Scholar
7.Wang, P. and Kahawita, R., “Numerical Integration of Partial Differential Equations Using Cubic Spline,” Int. J. Computer Math., 13, pp. 271–286 (1983)CrossRefGoogle Scholar