Publication Abstracts

Drazin and Moore 1967

Drazin, P.G., and D.W. Moore, 1967: Steady two-dimensional flow of fluid of variable density over an obstacle. J. Fluid Mech., 28, no. 2, 353-370, doi:10.1017/S0022112067002125.

A model of airflow over a mountain is treated mathematically in this paper. The fluid is inviscid, incompressible and of variable density. The flow is in a long channel, bounded above by a rigid horizontal lid and below by an obstacle. The variation with height of the horizontal velocity and of the density is specified far upstream. The details of flow are examined for particular conditions upstream which lead to a linear vorticity equation, although the non-linear inertial terms in the Euler equations of motion are exactly represented. In this case the flow is described by the superposition of solutions of some diffraction problems. Classical techniques of diffraction theory are then used to demonstrate the existence and some general properties of solutions for steady flow. Thus a steady solution is always possible if no restriction is placed on the amount of energy available to drive the flow, that is to say there is no critical internal Froude number (measuring the dynamical effect of buoyancy) for the existence of a steady flow. Finally the flows past a dipole and a vertical wall are computed.

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BibTeX Citation

  author={Drazin, P. G. and Moore, D. W.},
  title={Steady two-dimensional flow of fluid of variable density over an obstacle},
  journal={Journal of Fluid Mechanics},

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RIS Citation

ID  - dr00500y
AU  - Drazin, P. G.
AU  - Moore, D. W.
PY  - 1967
TI  - Steady two-dimensional flow of fluid of variable density over an obstacle
JA  - J. Fluid Mech.
JO  - Journal of Fluid Mechanics
VL  - 28
IS  - 2
SP  - 353
EP  - 370
DO  - 10.1017/S0022112067002125
ER  -

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