TED-AJ03-214 THEORETICAL ANALYSIS OF WEAK PRESSURE WAVES PROPAGATING THROUGH BUBBLY FLOW IN ELASTIC PIPES

概要

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It is well known that small amounts of free gas in a liquid can cause the acoustic velocity in the medium to be reduced considerably from that in the pure liquid itself. This fact has important implications for many problems associated with nuclear-reactor technology as well as for flashing due to sudden decompression of a pressurized system. The problem of pressure waves propagating through bubbly liquids has been well documented previously in the literature by a number of investigators. However, in the past investigations the effect of the elasticity of confining walls has not been considered. Flow characteristics of weak pressure waves propagating through bubbly liquids confined by an elastic tube wall have been theoretically investigated in the present paper. It was found that the governing equations reduce to the Korteweg-de Vries-Burgers equation by writing the equations in terms of a perturbation of the pressure. Also, simple relations for the propagation velocity as well as for the frequency of the relaxation oscillation behind a pressure wave front were derived. It was concluded that the characteristics of pressure waves are significantly influenced by the pipe elasticity for the low void fraction range.[figure]
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