Technical Briefs

The Onset of Convection in an Internally Heated Nanofluid Layer

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

Department of Engineering Science,
University of Auckland,
Private Bag 92019,
Auckland 1142, 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 April 29, 2013; final manuscript received July 16, 2013; published online October 21, 2013. Editor: Terrence W. Simon.

J. Heat Transfer 136(1), 014501 (Oct 21, 2013) (5 pages) Paper No: HT-13-1221; doi: 10.1115/1.4025048 History: Received April 29, 2013; Revised July 16, 2013

We analytically studied the onset of convection, induced by internal heating, such as that produced by microwave heating or chemical reaction, in a horizontal layer of a nanofluid subject to Brownian motion and thermophoresis. This is a fundamentally different situation from traditionally studied heating from below. Convection, when it occurs, is now concentrated in the portion of the layer where the upward vertical gradient is negative, which is the upper portion of the layer. The situation of internal heating also allows employing more realistic boundary conditions than those hitherto used.

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