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Newtonian pizza: spinning a viscous sheet

Abstract:

We study the axisymmetric stretching of a thin sheet of viscous fluid driven by a centrifugal body force. Time-dependent simulations show that the sheet radius R(t) tends to infinity in finite time. As time t approaches the critical time t∗, the sheet becomes partitioned into a very thin central region and a relatively thick rim. A net momentum and mass balance in the rim leads to a prediction for the sheet radius near the singularity that agrees with the numerical simulations. By asymptotica...

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P. D. Howell More by this author
H. A. Stone More by this author
Publication date:
2010
URN:
uuid:f2c97a46-3e2d-4860-add5-0afe7a5a2222
Local pid:
oai:eprints.maths.ox.ac.uk:1557

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