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.
The Onset of Convection in an Internally Heated Nanofluid Layer
North Carolina State University,
Raleigh, NC 27695-7910
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.
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Nield, D. A., and Kuznetsov, A. V. (October 21, 2013). "The Onset of Convection in an Internally Heated Nanofluid Layer." ASME. J. Heat Transfer. January 2014; 136(1): 014501. https://doi.org/10.1115/1.4025048
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