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The Onset of Double-Diffusive Convection in a Vertical Cylinder With Vertical Throughflow

[+] Author and Article Information
D. A. Nield

Department of Engineering Science,
University of Auckland,
Private Bag 92019,
Auckland, New Zealand
e-mail: d.nield@auckland.ac.nz

A. V. Kuznetsov

Department of Mechanical and Aerospace Engineering,
North Carolina State University,
Campus Box 7910,
Raleigh, NC 27695-7910
e-mail: avkuznet@ncsu.edu

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received March 16, 2012; final manuscript received September 5, 2012; published online February 8, 2013. Assoc. Editor: Jose L. Lage.

J. Heat Transfer 135(3), 034502 (Feb 08, 2013) (4 pages) Paper No: HT-12-1118; doi: 10.1115/1.4007859 History: Received March 16, 2012; Revised September 05, 2012

The effect of vertical throughflow on the onset of convection, induced by an applied vertical temperature gradient in a vertical cylinder is studied analytically using linear stability theory. This problem is important to hydrologists to investigate under what conditions convection is taking place in a well or borehole. The effect of double diffusion is included. Both nonoscillatory and oscillatory situations are studied.

Copyright © 2013 by ASME
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