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Similarity Solutions that Give Rise to Hyperbolicity and Change of Type in Steady Flows of Viscoelastic Fluids

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Fluid Dynamics of Viscoelastic Liquids

Part of the book series: Applied Mathematical Sciences ((AMS,volume 84))

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Abstract

N. Phan-Thien [1983a,b] has found a similarity solution of an Oldroyd B fluid between parallel plates which rotate at different speeds around a common axis perpendicular to the plates. The solution is modeled according to a famous one by T. Von Karman in which the fluid variables are resolved into a quadratic polynomial in r with coefficients to be determined as functions of z. This problem is important because it may model the flow away from edges of the finite disks used in rheometers.

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© 1990 Springer-Verlag Berlin Heidelberg

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Joseph, D.D. (1990). Similarity Solutions that Give Rise to Hyperbolicity and Change of Type in Steady Flows of Viscoelastic Fluids. In: Fluid Dynamics of Viscoelastic Liquids. Applied Mathematical Sciences, vol 84. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4462-2_11

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  • DOI: https://doi.org/10.1007/978-1-4612-4462-2_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8785-8

  • Online ISBN: 978-1-4612-4462-2

  • eBook Packages: Springer Book Archive

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