Axisymmetric extrusion of a shear-thinning fluid in confined and unconfined geometries

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• Jonathan Watts (University of Cambridge)
• Wednesday 29 October 2025, 13:00-14:00
• MR12.

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We consider the axisymmetric, radial extrusion of Newtonian and shear-thinning, power-law fluids from a cylindrical source, which displace an ambient inviscid fluid of equal density. In an unconfined geometry, the thickness of an extruded shear-thinning fluid layer is found to grow without bound over time, but in a Hele-Shaw cell, this is prevented from happening, and the fluid instead makes contact with the horizontal bounding walls. We find similarity solutions for a range of power-law exponents, and show that there is no similarity solution in the unconfined case for the power-law exponent n>3/2, whereas in the confined case, there are similarity solutions for all values of n.

This talk is part of the Institute of Theoretical Geophysics lunchtime seminar series.

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