Semi-analytical Methods of Solution for the BGK-Boltzmann Equation Describing Sound Wave Propagation in Binary Gas Mixtures

DOI10.1007/978-3-319-49262-9_11zbMath1371.35187OpenAlexW2594807233MaRDI QIDQ5282888

Silvia Lorenzani

Publication date: 17 July 2017

Published in: Innovative Algorithms and Analysis (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11311/1026825

zbMATH Keywords

Boltzmann equationBhatnagar-Gross-Krook (BGK)-type approach

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Gas dynamics (general theory) (76N15) Hydro- and aero-acoustics (76Q05) Boltzmann equations (35Q20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The McCormack model: Channel flow of a binary gas mixture driven by temperature, pressure and density gradients
• The linearized Boltzmann equation: sound-wave propagation in a rarefied gas
• A consistent BGK-type model for gas mixtures
• Concise and accurate solutions to half-space binary-gas flow problems defined by the McCormack model and specular-diffuse wall conditions
• A Bhatnagar–Gross–Krook-type approach for chemically reacting gas mixtures
• Flow of gaseous mixtures through rectangular microchannels driven by pressure, temperature, and concentration gradients
• Sound-wave propagation in a rarefied gas
• Computing Qualitatively Correct Approximations of Balance Laws
• Plane Poiseuille-Couette problem in micro-electro-mechanical systems applications with gas-rarefaction effects
• Construction of linearized kinetic models for gaseous mixtures and molecular gases
• Sound propagation through a rarefied gas confined between source and receptor at arbitrary Knudsen number and sound frequency

This page was built for publication: Semi-analytical Methods of Solution for the BGK-Boltzmann Equation Describing Sound Wave Propagation in Binary Gas Mixtures