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Rotating and stratified fluid flow

  • Kathleen Trustrum (a1)

Abstract

For flows in either rotating or stratified fluids, a technique is developed for solving initial-value problems using an Oseen approximation to the non-linear inertial terms in the equations of motion. The resulting equations for either application are similar. The solutions bear a strong qualitative resemblence to observed flows of both kinds, being characterized at small Rossby or Froude numbers by a blocked flow upstream of an obstacle and waves on the downstream side.

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Debler, W. R. 1961 Stratified flow into a line sink. Trans. Amer. Soc. Civil Engrs, 126, 491.
Fraenkel, L. E. 1956 On the flow of rotating fluid past bodies in a pipe. Proc. Roy. Soc. A, 233, 506.
Grace, S. F. 1926 On the motion of a sphere in a rotating liquid. Proc. Roy. Soc. A, 113, 46.
Lamb, H. 1932 Hydrodynamics. Cambridge University Press.
Lighthill, M. J. 1960 An Introduction to Fourier Analysis and Generalised Functions. Cambridge University Press.
Long, R. R. 1953a Steady motion around a symmetrical obstacle moving along the axis of a rotating fluid. J. Met. 10, 197.
Long, R. R. 1953b Some aspects of the flow of stratified fluids. I. A theoretical investigation. Tellus, 5, 42.
Long, R. R. 1955 Some aspects of the flow of stratified fluids. III. Continuous density gradients. Tellus, 7, 341.
Long, R. R. 1959 The motion of fluids with density stratification. J. Geophys. Res. 64, 2151.
Morgan, G. W. 1951 A study of motions in a rotating liquid. Proc. Roy. Soc. A, 206, 108.
Morrison, J. A. & Morgan, G. W. 1956 The slow motion of a disc along the axis of a rotating, viscous liquid. Tech. Rep. No. 8. Div. Appl. Math, Brown University.
Proudman, J. 1916 On the motion of solids in a liquid possessing vorticity. Proc. Roy. Soc. A, 92, 408.
Squire, H. B. 1956 Surveys in Mechanics. Ed. G. K. Batchelor and R. M. Davies. Cambridge University Press.
Stewartson, K. 1952 On the slow motion of a sphere along the axis of a rotating fluid. Proc. Camb. Phil. Soc. 48, 168.
Stewartson, K. 1958 On the motion of a sphere along the axis of a rotating fluid. Quart. J. Mech. Appl. Math. 11, 39.
Taylor, G. I. 1922 The motion of a sphere in a rotating fluid. Proc. Roy. Soc. A, 102, 180.
Yih, C.-S. 1958 On the flow of a stratified fluid. Proc. Third Nat. Congr. Appl. Mech., p. 857.
Yih, C.-S. 1959 Effect of density variation on fluid flow. J. Geophys. Res. 64, 2219.
Yih, C.-S. Steady two-dimensional flow of a stratified fluid. J. Fluid Mech. 9, 161.
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Rotating and stratified fluid flow

  • Kathleen Trustrum (a1)

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