TAILIEUCHUNG - 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 .

• Vật lý
• Vietnam Journal of Mechanics
• Solid wall in the mixture
• Liquid with vapour bubbles
• The waves reflected
• The transient pulses propagated
• Dang Dinh Ang
• Nonlinear analysis and mechanics
• Dynamic problems involving stationary cracks
• The Wiener Hopt technique
• Dual integral equations
• Dual integrals in non linear fracture mechanics
• Non linear fracture mechanics
• Energy release rate
• Discuss the obtained
• The alpha finite element method (αFEM)
• Solid mechanics using triangular and tetrahedral elements
• Suitable computational cost
• NS FEM makes
• The upper bound property
• Non linear constitutive problems in solid mechanics
• Non linear constitutive problems
• Languages Gibian and special operators
• The application FEM
• Betts miller janjic convective parameterization scheme
• H14 31 model to forecast heavy rainfall in Vietnam
• Betts Miller Janjic
• Three rain seasons
• Manufacturing dry mixed cement mortar
• High compressive strength
• High flexural strength
• Low shrinkage and high watertightness for restoration
• Damaged hydraulic structures in Vietnam
• Standard gradient models and crack simulation
• Standard gradient models
• The propagation of cracks
• Damage mechanics and crack simulation
• The interaction between two parametric excitations
• The second and third degrees
• The asymptotic method of nonlinear mechanics
• Dynamic system governed
• Comparison of two hydrological model simulations
• Nam and Xinanjiang for Nong Son catchment
• The Central Vietnam
• The runoff components
• 3 D numerical simulation
• The tidal circulation
• The gulf of Tonkin
• The kinetic energy distribution
• Duality in the analysis of responses to nonlinear systems
• The analysis of responses
• The original nonlinear systems
• The study of nonlinear mechanics
• Aerodynamics of a wing in surface effect ship
• Theory and experiment
• Wing in surface effect ship
• The aerodynamic characteristics
• The Institute of Mechanics
• The error estimate
• The convergence rate for h
• p refinement
• The finite element analysis
• Three dimensional elastostatic mechanics problems
• Some initial experimental results
• Free water layer formation in horizontal pipes
• Water layer formation
• Hanoi Institute of Mechanics
• Bending vibration of beam elements under moving loads
• Considering vehicle braking forces
• Fluctuations of structures
• Beam elements according
• Continuous element for vibration analysis
• Thick shells of revolution
• Continous Element Method
• Finite element solutions
• Natural frequencies and harmonic responses
• Cast3m implementation of the extended finite element method
• The extended finite element method for cohesive crack
• Quasi brittle materia
• The proposed implementation
• The displacement discontinuities
• Buckling analysis of simply supported composite laminates subjected
• In plane compression load
• A novel mesh ffree method
• Alternative numerical technique
• Mesh free method
• A three story building
• Hedge algebras based fuzzy controller
• The structural system
• The El Centro earthquake
• Three story building against earthquake
• Laminar separation phenomenon combining with numerical calculations
• The turbulent separation
• The laminar separation
• Experimental study on mechanical properties
• Three phase polymer composite reinforced
• Glass fibers and titanium oxide particles
• Polymer composite reinforced
• Three phase composite
• Dynamic characteristics of elastically supported beam subjected
• A compressive axial force and a moving load
• The implicit Newmark method
• The Galerkin finite element method
• The axial force
• Eccentrically stiffened functionally graded plates and shallow shells
• Von Karman Donnell sense
• The formulation of governing equations
• The classical shell theory
• Mathematical modelling and control of the evolution
• Dynamic systems interacting with medium
• Mathematical modeling evolutional systems interacting
• Two conjugate mechanical subsystems
• Evaluating structural safety based on fuzzy set theory
• Evaluating structural safety
• The fuzzy reliability
• Simple beam structure