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The squeezing flow problem of Herschel-Bulkley fluids in a closing a wedge

Al Khatib M. A.

Journal of Technical Physics

2006

Vol. 47, no 4

205-219

The non-steady squeezing flow of a Herschel-Bulkley fluid in a two-dimensional wedge is investigated. The problem is reduced to a nonlinear two-point boundary-value problem. An exact similarity solution is obtained without any geometrical approximation. The velocity and stress fields are calculated for Herschel-Bulkley fluids and for power-law and Bingham fluids as special cases. The location of the yielded and unyielded regions is determined. The results for the power-law fluids are compared with the approximate analytical solution obtained by Chen [15].