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Time-dependent flows of rotating and stratified fluids in geometries with non-uniform cross-sections

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Abstract

Unsteady rotating and stratified flows in geometries with non-uniform cross-sections are investigated under Oseen approximation using Laplace transform technique. The solutions are obtained in closed form and they reveal that the flow remains oscillatory even after infinitely large time. The existence of inertial waves propagating in both positive and negative directions of the flow is observed. When the Rossby or Froude number is close to a certain infinite set of critical values the blocking and back flow occur and the flow pattern becomes more and more complicated with increasing number of stagnant zones when each critical value is crossed. The analogy that is observed in the solutions for rotating and stratified flows is also discussed.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Science, 560012, Bangalore

    K. C. Balan, Rathna Devanathan & A. Ramachandra Rao

Authors
  1. K. C. Balan
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  2. Rathna Devanathan
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  3. A. Ramachandra Rao
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Balan, K.C., Devanathan, R. & Ramachandra Rao, A. Time-dependent flows of rotating and stratified fluids in geometries with non-uniform cross-sections. Proc. Indian Acad. Sci. 82, 101–119 (1975). https://doi.org/10.1007/BF03046704

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  • DOI: https://doi.org/10.1007/BF03046704

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