Paper Titles
Preface
Numerical Study of MHD Natural Convection in Partially Heated Cubical Cavity Filled with Hybrid Nanofluid
p.3
Rarefied Gas Flow in a Micro Cavity with an Inner Obstacle Using the Lattice Boltzmann Method
p.13
Validation of Lattice Boltzmann Method in Two and Three Dimensions
p.25
Lattice Boltzmann Simulation for Combined Natural and Forced Convection in a Lid-Driven Square Enclosure with an Inner Heat Sink
p.35
Simulation of Natural Convection in a Triangular Cavity Using the Multi-Relaxation Time Lattice Boltzmann Method: Impact of Heated Chip Position
p.47
Corrosion Durability of the Deposited Layer on the Thin-Walled Base of Structural Elements Produced by Laser Radiation
p.61
Investigation of Stress Concentrators in Welds on Stress-Corrosion Cracking of X70 Steel Welded Joints in Near-Neutral pH Solution
p.69
Influence of Chemical Carbon Microheterogeneity on Fatigue Crack Growth Parameters in Railway Wheel Steel
p.77

Rarefied Gas Flow in a Micro Cavity with an Inner Obstacle Using the Lattice Boltzmann Method

Article Preview

Abstract:

To describe the flow of a gas in a micro cavity, two different approaches can be adopted; namely the macroscopic approach or the microscopic approach. The objective of the present work is to use the Boltzmann lattice method (LBM) as a numerical alternative of kinetic methods to describe the behavior of rarefied gases. It is an intermediate mesoscopic method between the two approaches that allows to estimate the solution of the Boltzmann transport equation with a reduced computational time. In this report, the flow of a rarefied gas in a micro cavity with presence of an obstacle in its middle has been studied. Simulation results are presented for different degrees of rarefaction (). The choice of boundary conditions plays an important role in the stability and accuracy of the numerical schemes. For this reason, several types of boundary conditions have been used to correctly determine the slip velocity and the temperature jump at the solid walls, which allow a good description of gaseous micro-flows.

You might also be interested in these eBooks
Microstructure Evolution, Corrosion, Heat and Mass Transfer Processes View Preview

Info:

Periodical:

Defect and Diffusion Forum (Volume 448)

Pages:

13-23

DOI:

https://doi.org/10.4028/p-Ur907p

Citation:

Cite this paper

Online since:

March 2026

Authors:

Yassine Bouhouchi*, Brahim Elaaddam, Yassine Amari Sadiki, Youssef El Guennouni, Mohamed Hssikou, Jamal Baliti

Keywords:

Inner Obstacle, Knudsen Number, LBM, Micro Cavity, Rarefied Gas

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2026 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

References

[1] G. Karniadakis and A. Beskok and N. Aluru, Springer New York(2005).

Google Scholar

[2] X. Nie and G.D. Doolen and S. Chen, J. Stat. Phys. 107 279(2002).

Google Scholar

[3] G.H. Tang and W.Q. Tao and Y.L. He, Int. Conf. Microchannels Minichannels 1 389 (2003).

Google Scholar

[4] Q. Zou and X. He, Phys. Fluids 9 1591(1997).

Google Scholar

[5] S. Gokaltun and G.S. Dulikravich, International Journal of Heat and Mass Transfer 78 796(2014).

Google Scholar

[6] H. Yasuoka and M. Kaneda and K.Suga, Phys. Rev. E 94 013102(2016).

Google Scholar

[7] R. Zarita and M. Hachemi, Micro and Nano Flows Conference (2014).

Google Scholar

[8] R. Zarita and M. Hachemi, Frontiers in Heat and Mass Transfer 12(2019).

Google Scholar

[9] J. Baliti, M. Hssikou, & M. Alaoui, Rarefaction and external force effects on gas microflow in a lid‐driven cavity. Heat Transfer—Asian Research, 48(1), 80-99 (2019).

DOI: 10.1002/htj.21369

Google Scholar

[10] Y. Ighris, Y. Bouhouchi, Y. Elguennouni, J. Baliti, M. Hssikou, A. Boumezzough, Numerical study of natural convection in an inclined cavity filled with Al2O3/Cu-H2O nanofluids, Numer. Heat Transf. Part A Appl. 0 (2024) 1–25.

DOI: 10.1080/10407782.2024.2314230

Google Scholar

[11] Y. Ighris, M. Qaffou, J. Baliti, Y. Elguennouni, M. Hssikou, Thermal management optimization of natural convection in a triangular chamber: Role of heating positions and ternary hybrid nanofluid, Phys. Fluids 36 (2024).

DOI: 10.1063/5.0226427

Google Scholar

[12] P.L. Bhatnagar and E.P. Gross and M. Krook, Phys. Rev. 94 511 (1954).

Google Scholar

[13] Z. Tian and C. Zou and Z. Liu and Z. Guo and H. Liu and C. Zheng, International Journal of Modern Physc. C 17 603(2006).

Google Scholar