Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
4.7
2.7
Journals
Entropy
Special Issues
Mesoscopic Fluid Mechanics
entropy-logo
Submit to Special Issue Submit Abstract to Special Issue Review for Entropy Propose a Special Issue

Journal Menu

► Journal Menu

Journal Browser

► Journal Browser
share announcement

Mesoscopic Fluid Mechanics

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Statistical Physics".

Deadline for manuscript submissions: 15 November 2024 | Viewed by 1733

Special Issue Editors

Dr. Tianbai Xiao

E-Mail Website
Guest Editor
Institute of Mechanics, Chinese Academy of Sciences, Beijing 101400, China
Interests: computational fluid dynamics; kinetic theory; uncertainty quantification; scientific machine learning
Dr. Yuan Hu

E-Mail Website
Guest Editor
Institute of Mechanics, Chinese Academy of Sciences, Beijing 101400, China
Interests: nonequilibrium flows; plasma physics; electric propulsion; particle simulation methods; high performance computing
Prof. Dr. Xing Ji

E-Mail Website
Guest Editor
Shaanxi Provincial Key Laboratory of Environment and Control for Flight Vehicles, Xi’an Jiaotong University, Xi’an 710049, China
Interests: computational fluid dynamics; gas-kinetic scheme; high-order methods; hypersonic flow
Prof. Dr. Mikhail Sheremet

E-Mail Website
Guest Editor
Laboratory on Convective Heat and Mass Transfer and Department of Theoretical Mechanics, Tomsk State University, 36 Lenin Ave., 634050 Tomsk, Russia
Interests: heat and mass transfer; natural convection; porous media; phase change materials; computational fluid dynamics; heat transfer enhancement
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The growing interest in fine-scale flow structures poses great opportunities and challenges for the development of sound theories and reliable numerical methods. Based on statistical mechanics, the mesoscopic descriptions, including the Boltzmann and Vlasov equations, extended hydrodynamical equations, and Monte-Carlo and particle-in-cell direct modeling methods, provide elegant strategies to break the shackles of the continuum assumption used in fluid dynamic equations and enable quantitative investigations of non-equilibrium flow evolution.

The extended degrees of freedom in non-equilibrium flows brings difficulties for theoretical and numerical studies. Macroscopic governing equations cannot accurately describe the multi-scale and non-equilibrium effects during the flow evolution. Fine-grained modeling based on the first principles are required to preserve the structural properties of many-particle systems and reasonable asymptotic limits. Numerical methods are supposed to seek efficient discretization in the high-dimensional phase space and solution algorithm to achieve an acceptable computational cost. High-order and high-fidelity methods are preferred to reduce space and time complexity for numerical solutions. Efficient implicit techniques are needed to enable cross-scale flow simulations.

This Special Issue is dedicated to providing an arena for original research at the intersection of statistical physics and fluid mechanics, thereby deepening the understanding and appreciation of non-equilibrium flows. Results from mesoscopic flow models and corresponding numerical methods are equally welcome.

Dr. Tianbai Xiao
Dr. Yuan Hu
Prof. Dr. Xing Ji
Prof. Dr. Mikhail Sheremet
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • kinetic theory of gases
  • rarefied gas dynamics
  • discrete velocity methods
  • lattice Boltzmann methods
  • high-order methods
  • direct simulation Monte Carlo
  • particle-in-cell methods
  • computational fluid dynamics
  • plasma physics
  • statistical fluid dynamics

Published Papers (2 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

Jump to: Review

15 pages, 3124 KiB  
Article
Microchannel Gas Flow in the Multi-Flow Regime Based on the Lattice Boltzmann Method
by Xiaoyu Li, Zhi Ning and Ming Lü
Entropy 2024, 26(1), 84; https://0-doi-org.brum.beds.ac.uk/10.3390/e26010084 - 18 Jan 2024
Viewed by 791
Abstract
In this work, a lattice Boltzmann method (LBM) for studying microchannel gas flow is developed in the multi-flow regime. In the LBM, by comparing previous studies’ results on effective viscosity in multi-flow regimes, the values of the rarefaction factor applicable to multi-flow regions [...] Read more.
In this work, a lattice Boltzmann method (LBM) for studying microchannel gas flow is developed in the multi-flow regime. In the LBM, by comparing previous studies’ results on effective viscosity in multi-flow regimes, the values of the rarefaction factor applicable to multi-flow regions were determined, and the relationship between relaxation time and Kn number with the rarefaction factor is given. The Kn number is introduced into the second-order slip boundary condition together with the combined bounce-back/specular-reflection (CBBSR) scheme to capture the gas flow in the multi-flow regime. Sensitivity analysis of the dimensionless flow rate to adjustable parameters using the Taguchi method was carried out, and the values of adjustable parameters were determined based on the results of the sensitivity analysis. The results show that the dimensionless flow rate is more sensitive to j than h. Numerical simulations of Poiseuille flow and pulsating flow in a microchannel with second-order slip boundary conditions are carried out to validate the method. The results show that the velocity profile and dimensionless flow rate simulated by the present numerical simulation method in this work are found in the multi-flow regime, and the phenomenon of annular velocity profile in the microchannel is reflected in the phases. Full article
(This article belongs to the Special Issue Mesoscopic Fluid Mechanics)
►▼ Show Figures

Figure 1

Review

Jump to: Research

41 pages, 32720 KiB  
Review
Mesoscopic Kinetic Approach of Nonequilibrium Effects for Shock Waves
by Ruofan Qiu, Xinyuan Yang, Yue Bao, Yancheng You and Hua Jin
Entropy 2024, 26(3), 200; https://0-doi-org.brum.beds.ac.uk/10.3390/e26030200 - 26 Feb 2024
Viewed by 687
Abstract
A shock wave is a flow phenomenon that needs to be considered in the development of high-speed aircraft and engines. The traditional computational fluid dynamics (CFD) method describes it from the perspective of macroscopic variables, such as the Mach number, pressure, density, and [...] Read more.
A shock wave is a flow phenomenon that needs to be considered in the development of high-speed aircraft and engines. The traditional computational fluid dynamics (CFD) method describes it from the perspective of macroscopic variables, such as the Mach number, pressure, density, and temperature. The thickness of the shock wave is close to the level of the molecular free path, and molecular motion has a strong influence on the shock wave. According to the analysis of the Chapman-Enskog approach, the nonequilibrium effect is the source term that causes the fluid system to deviate from the equilibrium state. The nonequilibrium effect can be used to obtain a description of the physical characteristics of shock waves that are different from the macroscopic variables. The basic idea of the nonequilibrium effect approach is to obtain the nonequilibrium moment of the molecular velocity distribution function by solving the Boltzmann–Bhatnagar–Gross–Krook (Boltzmann BGK) equations or multiple relaxation times Boltzmann (MRT-Boltzmann) equations and to explore the nonequilibrium effect near the shock wave from the molecular motion level. This article introduces the theory and understanding of the nonequilibrium effect approach and reviews the research progress of nonequilibrium behavior in shock-related flow phenomena. The role of nonequilibrium moments played on the macroscopic governing equations of fluids is discussed, the physical meaning of nonequilibrium moments is given from the perspective of molecular motion, and the relationship between nonequilibrium moments and equilibrium moments is analyzed. Studies on the nonequilibrium effects of shock problems, such as the Riemann problem, shock reflection, shock wave/boundary layer interaction, and detonation wave, are introduced. It reveals the nonequilibrium behavior of the shock wave from the mesoscopic level, which is different from the traditional macro perspective and shows the application potential of the mesoscopic kinetic approach of the nonequilibrium effect in the shock problem. Full article
(This article belongs to the Special Issue Mesoscopic Fluid Mechanics)
►▼ Show Figures

Figure 1

Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-2
Back to TopTop