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Overall Assessment of Heat Transfer for a Rarefied Flow in a Microchannel with Obstacles Using Lattice Boltzmann Method

Siham Hammid1, Khatir Naima2, Omolayo M. Ikumapayi3, Cheikh Kezrane1, Abdelkrim Liazid4, Jihad Asad5, Mokdad Hayawi Rahman6, Farhan Lafta Rashid7, Naseer Ali Hussien8, Younes Menni2,9,*

1 Laboratory of Development in Mechanics and Materials (LDMM), Zian Achour University, Djelfa, PB 3117, Algeria
2 Department of Technology, University Center Salhi Ahmed Naama (Ctr. Univ. Naama), P. O. Box 66, Naama, 45000, Algeria
3 Department of Mechanical and Mechatronics Engineering Afe Babalola University, Ado Ekiti, 360101, Nigeria
4 Departement of Physics, Faculty of Science, Abou Bekr Belkaid University, Tlemcen, 13000, Algeria
5 Department of Physics, Faculty of Applied Sciences, Palestine Technical University-Kadoorie, Tulkarm, Palestine
6 Aeronautical Technical Engineering, Al-Farahidi University, Baghdad, 10011, Iraq
7 Mechanical Engineering Department, University of Kerbala, Karbala, 56001, Iraq
8 Information and Communication Technology Research Group, Scientific Research Center, Al-Ayen University, Thi-Qar, Iraq
9 National University of Science and Technology, Dhi Qar, Iraq

* Corresponding Author: Younes Menni. Email:

Computer Modeling in Engineering & Sciences 2024, 138(1), 273-299.


The objective of this investigation is to assess the effect of obstacles on numerical heat transfer and fluid flow momentum in a rectangular microchannel (MC). Two distinct configurations were studied: one without obstacles and the other with alternating obstacles placed on the upper and lower walls. The research utilized the thermal lattice Boltzmann method (LBM), which solves the energy and momentum equations of fluids with the BGK approximation, implemented in a Python coding environment. Temperature jump and slip velocity conditions were utilized in the simulation for the MC and extended to all obstacle boundaries. The study aims to analyze the rarefaction effect, with Knudsen numbers (Kn) of 0.012, 0.02, and 0.05. The outcomes indicate that rarefaction has a significant impact on the velocity and temperature distribution. The presence of nine obstacles led to slower fluid movement inside the microchannel MC, resulting in faster cooling at the outlet. In MCs with obstacles, the rarefaction effect plays a crucial role in decreasing the Nusselt number (Nu) and skin friction coefficient (Cf). Furthermore, the study demonstrated that the obstacles played a crucial role in boosting fluid flow and heat transfer in the MC. The findings suggest that the examined configurations could have potential applications as cooling technologies in micro-electro-mechanical systems and microdevice applications.


Cite This Article

Hammid, S., Naima, K., Ikumapayi, O. M., Kezrane, C., Liazid, A. et al. (2024). Overall Assessment of Heat Transfer for a Rarefied Flow in a Microchannel with Obstacles Using Lattice Boltzmann Method. CMES-Computer Modeling in Engineering & Sciences, 138(1), 273–299.

This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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