tailieunhanh - Waves reflected by solid wall in the mixture of liquid with vapour bubbles

In the paper the results of investigation of waves reflected by solid wall of the stationary shock waves with moderate intensities or the transient pulses propagated in the mixture of liquid with vapour bubbles are presented. The effect of initial conditions, shock strength, size of the bubbles and volume fraction of vapour phase on the behaviour of the waves reflected by solid wall is studied. | Vietnam Journal of Mechanics, NCST of Vietnam Vol. 24, 2002, No 3 (167 - 180) WAVES REFLECTED BY SOLID WALL IN THE MIXTURE OF LIQUID WITH VAPOUR BUBBLES DUONG NGOC HAI Institute of Mechanics, 264 Doi Can, Hanoi, Vietnam NGUYEN VAN TUAN University of Industrial Engineering Thainguyen, Vietnam ABSTRACT. The liquid and gas mixtures are met in many natural and industrial processes. In the paper the results of investigation of waves reflected by solid wall of the stationary shock waves with moderate intensities or the transient pulses propagated in the mixture of liquid with vapour bubbles are presented. The effect of initial conditions, shock strength, size of the bubbles and volume fraction of vapour phase on the behaviour of the waves reflected by solid wall is studied. 1. Introduction It is well known that the presence of bubbles of gas or vapour in a liquid considerably alters the character of the propagation of pressure waves through the liquid. This fact has important implications in energy industry, in associated with nuclearreactor technology, in the oil exploitation, transportation and processing industry and in chemical engineering and many natural processes (Fujii et al -1991 ; Dontsov et al - 1998). Shock waves in liquid with bubbles of an insoluble and non-condensable gas have been investigated theoretically and experimentally by Noordzij & Wijngaarden (1974); Nigmatulin, Khabeev & Shagapov (1974); Nigmatulin & Shagapov (1974) ; Drumheller, Kipp & Bedford (1982). Experimental study of gas solution process behind a shock wave in liquid with bubbles of easily soluble gas has been investigated theoretically and experimentally by Dontsov & Pokusaev (1998). Shock waves in non-Newtonian bubbly liquids have been investigated numerically by Gubaidulin, Beregova & Bekishev (2001) . Liquid velocity and wall shear stress in bubbly flows have been investigated by Kashinsky, Radin & Chinak (1998) . The propagation of waves in a liquid with vapour bubbles has been .