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I.G.Nesteruk, B.D.Shepetyuk Shape of artificial axisymmetric cavities at sub- and supercritical values of ventilation rate |
Applied hydromechanics, Vol. 14 (86) ¹ 2, (2012) |
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The influence of different gas ventilation rates on the shape of slender
axisymmetric steady cavities is considered for the approach of
one-dimensional inviscid flow of incompressible gas in a circular channel
between the cavity surface and the hull. A non-dimensional parameter Ve
is introduced that is the ratio of pressure heads of the gas at fixed
cavity cross-section and ambient liquid flow. It is shown that cavity shape
sufficiently depends on the values of Ve and cavitation number at the
same fixed cross-section. A comparison of values of these parameters
selects sub- and supercritical cases. For subcritical ventilation rates,
the solution can be expressed as asymptotic series and the ventilated
cavity shape is close to the vapor one at some effective cavitation number.
At supercritical ventilation rates, the non-linear equation should be used.
The length of ventilated cavity closing at the cone-cylinder bodies is
calculated. It is shown that the supercritical ventilation rates are still
limited.
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KEY WORDS: gas ventilation, axisymmetric steady cavities, ventilation rates |
| TEXT LANGUAGE: Ukrainian |