General solution for the Couette flow profile

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A general solution for the Couette velocity profile is reported. Taylor's classical one-dimensional profile is shown to be a special case of this solution for configurations whose aspect ratio is large. Numerical evaluation indicates that error between the two profiles is a logarithmic function of the aspect ratio and provides data to estimate when Taylor's profile should be replaced with the present solution.

Original languageEnglish
Pages (from-to)6192-6194
Number of pages3
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number5 B
StatePublished - Nov 1999


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