Combined diffusion-driven and convective flow in a tilted square container
نویسنده
چکیده
Asymptotic analytical solutions are derived for the configuration posed by Quon [Phys. Fluids, 26, 632 (1983)] for diffusion-driven flow in a tilted square container when the diffusive parameter R is small. The key regions of the asymptotic structure are outlined and leading-order solutions are determined in most of those regions. The analysis follows that in Page & Johnson [J. Fluid Mech., 629, 299 (2009)] and Page [in press, Quart. J. Mech. Appl. Math., 2011] but includes an additional ‘R-layer’ region. Analytical solutions are compared with numerical results for small R and display excellent agreement. It is also shown that the solutions and flow structure are applicable over a wide range of Prandtl numbers.
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