The method of matched asymptotic expansions is applied to study the problem of transient natural convection in a horizontal concentric porous annulus with inner and outer cylinders maintained at uniform temperatures. Asymptotic solutions for the inner layer, the outer layer, and the core are obtained for small times. A uniformly valid solution for stream function, tangential velocity, and temperature, which is valid for the whole domain, is constructed.
Transient Natural Convection in a Horizontal Concentric Annulus Filled With a Porous Medium
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Pop, I., Ingham, D. B., and Cheng, P. (November 1, 1992). "Transient Natural Convection in a Horizontal Concentric Annulus Filled With a Porous Medium." ASME. J. Heat Transfer. November 1992; 114(4): 990–997. https://doi.org/10.1115/1.2911911
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