Transient wave propagation in bubbly liquids

DOI10.1017/S0022112082001384zbMath0485.76077OpenAlexW2097685947MaRDI QIDQ3945846

M. E. Kipp, Douglas S. Drumheller, Anthony Bedford

Publication date: 1982

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112082001384

zbMATH Keywords

bubbly liquidscompressibilitytransient wave propagationone-dimensional wavesthermal dissipationenergy-balance equationsequation that describes oscillations of bubbleslinear-momentum equationnon-planarity effects

Mathematics Subject Classification ID

Multiphase and multicomponent flows (76T99) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Basic methods in fluid mechanics (76M99) Variational principles of physics (49S05) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (16)

Modeling of release and absorption of gas in liquid-gas flows within a consistent thermodynamic framework ⋮ Applications of Hamilton's principle to continua with singular surfaces ⋮ Shock propagation in liquids containing bubbly clusters: a continuum approach ⋮ Acceleration waves in a fluid mixture with compressible constituents ⋮ Multiscale multiphase modeling of detonations in condensed energetic materials ⋮ Derivation of a nonlinear model equation for wave propagation in bubbly liquids ⋮ Sound speeds in suspensions in thermodynamic equilibrium ⋮ On the structure of nonlinear waves in liquids with gas bubbles ⋮ Waves in liquids with vapour bubbles ⋮ Clausius-Duhem inequality for quasi-1D transient flows in variable cross-section area deformable pipes ⋮ Liquids with vapour bubbles ⋮ On theories for reacting immiscible mixtures ⋮ Reprint of: ``Multiscale multiphase modeling of detonations in condensed energetic materials ⋮ Mathematical and numerical modeling of two-phase compressible flows with micro-inertia. ⋮ Theories of immiscible and structured mixtures ⋮ Virtual mass in two-phase bubbly flow

Cites Work

• On the mechanics and thermodynamics of fluid mixtures
• A thermomechanical theory for reacting immiscible mixtures
• A theory of bubbly liquids
• Spatial averaging in the mechanics of heterogeneous and dispersed systems
• A theory of liquids with vapor bubbles
• Relaxation effects, caused by relative motion, on shock waves in gas-bubble/liquid mixtures
• Sound and Shock Waves in Liquids Containing Bubbles
• One-Dimensional Flow of Liquids Containing Small Gas Bubbles

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