The Mathematical Institute, University of Oxford, Eprints Archive

Convection and heat transfer in layered sloping warm-water

McKibbin, R. and Hale, N. and Style, R. W. and Walters, N. (2010) Convection and heat transfer in layered sloping warm-water
Journal of Porous Media . (Submitted)



What convective flow is induced if a geologically-tratified groundwater aquifer is subject to a vertical temperature gradient? How strong is the flow? What is the nett heat transfer? Is the flow stable? How does the convection affect the subsequent species distribution if a pollutant finds its way into the aquifer? This paper begins to address such questions. Quantitative models for buoyancy-driven fluid flow in long, sloping warm-water aquifers with both smoothly- and discretely-layered structures are formulated. The steady-state profiles are calculated for the temperature and for the fluid specific volume flux (Darcy velocity) parallel to the boundaries in a sloping system subjected to a perpendicular temperature gradient, at low Rayleigh numbers. The conducted and advected heat fluxes are compared and it is shown that the system acts somewhat like a heat pipe. The maximum possible ratio of naturally advected-to-conducted heat transfer is determined, together with the corresponding permeability and thermal conductivity profiles.

Item Type:Article
Subjects:D - G > General
Research Groups:Oxford Centre for Collaborative Applied Mathematics
ID Code:1009
Deposited By: Peter Hudston
Deposited On:28 Oct 2010 13:31
Last Modified:29 May 2015 18:41

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