European Journal of Applied Mathematics

Research Article

On Hele–Shaw flow of power-law fluids

Gunnar Aronssona1* and Ulf Janfalka1

a1 Department of Mathematics, Linköping University, Sweden


This paper reviews the governing equations for a plane Hele–Shaw flow of a power-law fluid. We find two closely related partial differential equations, one for the pressure and one for the stream function. Some mathematical results for these equations are presented, in particular some exact solutions and a representation theorem. The results are applied to Hele–Shaw flow. It is then possible to determine the flow near an arbitrary corner for any power-law fluid. Other examples are also given.

(Received March 20 1992)


* Supported by the Swedish Research Council for Engineering Sciences (TFR).