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Original Articles

On Stratified Flows in a Gravitational Field

Pages 220-228 | Received 05 Jul 1956, Published online: 15 Dec 2016

  • BENTON, G. S., 1953: The occurrence of critical flow and hydraulic jumps in a multi-layered system, Tech. Rep. No. r, The Johns Hopkins Univ., Dept. of Civil Eng.
  • CRAYA, A., 1951: Critical regimes of flows with density stratification, Tellus, 3, pp. 28–42.
  • GREENHILL, A. G., 1887: Wave motion in hydrodyna-rnics,Journ. of Math., 9, pp. 62–112.
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  • KEULEGAN, G. H., 1953: Characteristics of internal solitary waves, Res. Paper 2442, Journ. of Res. Nat. Bureau of Standards.
  • LEWY, H., 1951: On steady free surface flow in a gravity field, Tech. Rep. 4, Applied Math. and Statistics Lab., Stanford Univ.
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  • LONG, R. R., 1953: Some aspects of the flow of stratified fluids, I. A theoretical investigation, Tech. Rep. No. 2, The Johns Hopkins Univ., Dept. of Civil Eng.
  • LONG, R. R., 1955: Some aspects of the flow of stratified fluids, III. Continuous density gradients, Tech. Rep. No. 6, The Johns Hopkins Univ., Dept. of Civil Eng.
  • LOVE, A. E. H., 1891: Wave motion in a heterogeneous heavy liquid, Proc. Loud. Math. Soc., 22, p. 307.
  • RAYLEIGH, LORD, 1880: On the stability or instability of certain fluid motions; Scientific Papers, I, pp. 474-487, Cambridge Univ. Press.
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  • ROSSBY, C.-G., 1951: On the vertical and horizontal concentration of momentum in air and ocean currents, Tellus, 3, pp. 15–27.
  • SQUIRE, H. B., 1933: On the stability for three-dimen-sional disturbances of viscous fluid flow between parallel walls, Proc. Roy. Soc. London, Ser. A, 142, pp. 621–628.
  • STOKES, G. G., 1847: On the theory of oscillatory waves, Trans. Camb. Phil. Soc., 8, p. 441.
  • TONG, K. N., 1954: Two-dimensional potential flow in a gravitational field with a known free stream, Proc. Second U.S. National Congress of Applied Mechanics.
  • WEBB, R. R, 1884: Math. Tripos Papers.
  • YIH, C. S., and GUHA, C. R., 1955: Hydraulic jump in a fluid system of two layers, Tellus, 7, pp. 358–366.
  • YIH, C. S., 1955: Stability of two-dimensional parallel flows for three-dimensional disturbances, Quart. Appl. Math., XII, pp. 434–435.