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Applied Mathematics Seminar
    
  
 
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Scott McCue
School of Science, Griffith University

Bubbles of air in Hele-Shaw cells

Wednesday October 25 14:05-14:55pm, Carslaw Building Room 373.

A Hele-Shaw cell consists of two flat plates held close together, and filled with fluid. By averaging the equations of fluid mechanics over the small gap between the plates, we can derive a simple model for Hele-Shaw flows. It turns out that if the fluid is Newtonian, then the resulting equations are identical to those which describe saturated flow through porous media governed by Darcy's law. Furthermore, these equations also describe certain Stefan problems (solification/melting).