Thesis Chapters by Jaouad Benhamou
Application de la Méthode de Boltzmann sur Réseau à l’Etude de la Propagation d’Ondes dans les Fluides
The Lattice Boltzmann Method (LBM) is applied in this thesis to study acoustic waves propagation ... more The Lattice Boltzmann Method (LBM) is applied in this thesis to study acoustic waves propagation and heat transfer in fluids. The work can be summarized in five parts:
The first two sections deal with the basic mathematical formulations of the kinetic theory of gases and the numerical lattice Boltzmann approach. Numerical simulations are started in the third part. This part first presents the basic principles of acoustics and then gives a two-dimensional (2D) study of acoustic waves propagation in water. The waves are generated by a rectangular acoustic source vibrating at 200 kHz. The objective is to calculate the acoustic pressure and force produced in the near field, and then to inject the numerically calculated force into the LBM code used to produce the acoustic streaming flow.
Given the importance of numerical studies used as data to perform experiments, the simulation of physical problems in three dimensions (3D) becomes a necessity to visualize the physical phenomenon much better than in 2D. Therefore, the three-dimensional lattice Boltzmann method is used in the fourth section to study the propagation of acoustic waves in water. The main objective of this numerical study is to show how waves generated by a point source and square and circular shaped sources propagate instantaneously in 3D, to calculate the acoustic pressure and to highlight the performance of LBM simulations. A comparison of the numerical results found with the analytical data is performed to validate the numerical approach used.
The fifth part presents a 3D numerical study of the physical phenomena of ultrasound propagation in air, thermal convection and their interaction. Considering its advantages in terms of accuracy and computational efficiency over the pure LBM method, the hybrid method based on the LBM approach for the description of the hydrodynamic behavior of the fluid and the finite difference technique for the temperature calculation is introduced in this last part to investigate the improvement of the heat transfer by the ultrasound.
Papers by Jaouad Benhamou
Journal of Physics: Conference Series
The importance of studying the cooling of electronic components, which can be represented by obst... more The importance of studying the cooling of electronic components, which can be represented by obstacles, by natural or forced convection, has led our research laboratory to study this type of problem in 2D for many years. In this present article, the code is developed to be able to simulate heat transfers in 3D using a hybrid method. This approach is built on two numerical approaches viz the “Lattice Boltzmann method” (LBM) for the study of the fluid flow and the “Finite Difference Method” (FDM) for the calculation of the temperature field. The present numerical code is validated in the case of natural convection in a cubic cavity packed with air. Subsequently, the heat exchange between two cold vertical walls and a heated obstacle placed at center of cavity is studied.
International Communications in Heat and Mass Transfer
Proceedings of the 2nd International Conference on Big Data, Modelling and Machine Learning
The 4th International Conference on Networking, Information Systems amp Security.
2022 2nd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET), 2022
2022 2nd International Conference on Innovative Research in Applied Science, Engineering and Technology (IRASET), 2022
International Journal for Computational Methods in Engineering Science and Mechanics, 2022
Journal of Enhanced Heat Transfer, 2022
Nowadays, the advancement of electronic components technology is considered one of the challenges... more Nowadays, the advancement of electronic components technology is considered one of the challenges that generally focus on improving the quality of operation and efficiency of electronic systems. Although the evolution of these electronic systems, the successive increase in temperature induces a decrease in the operating performance and occasionally the failure of these electronic components (processors, high-performance servers, etc.). This paper presents a work on enhancing heat transfer quality over a Backward-facing step in a partitioned channel using a simulation code based on the double multiple relaxation times of the lattice Boltzmann method. The numerical results obtained show that the participation of different shapes of partitions had a significant impact on the thermal exchange between the cold fluid flow and the heated wall downstream of the step. Several standard parameters were examined to check the best improvement of the heat transfer quality.
This paper proposes a three-dimensional (3D) lattice Boltzmann method (LBM) to analyze the propag... more This paper proposes a three-dimensional (3D) lattice Boltzmann method (LBM) to analyze the propagation of acoustic waves. Indeed, this numerical method uses a stable and accurate scheme, the D3Q19 multiple relaxation model. The work carried out focuses on studying the vibration of a square sound source located at the center of the left surface of a 3D enclosure filled with water. The main objective of this numerical study is to investigate the waves using a statistical technique and to visualize how acoustic waves emitted by a square source propagate instantaneously in three dimensions. The numerical code used is verified by studying the usual problem of flows generated by a lid-driven cavity. The two-dimensional LBM approach is introduced in a second step to compare the results obtained in two and three dimensions.
Advanced Technologies for Humanity, 2022
Proceedings of the 2nd International Conference on Advanced Technologies for Humanity, 2020
An application of the lattice Boltzmann method (LBM) to the study of sound wave propagation is pr... more An application of the lattice Boltzmann method (LBM) to the study of sound wave propagation is presented in this paper. The major purpose of this simulation is to show how the LBM technique can be easily applied in the domain of acoustics. The sound waves are emitted from a vibrating rectangular source placed in the center of the left face of a rectangular enclosure filled with air. An analytical study is performed to validate our numerical approach and the error between the two studies is also described to ensure the validity of the LBM analysis.
Heat Transfer, 2020
In this paper, the Lattice Boltzmann Method (LBM) is used to study the acoustic waves propagation... more In this paper, the Lattice Boltzmann Method (LBM) is used to study the acoustic waves propagation inside a differentially heated square enclosure filled with air. The waves are generated by a point sound source located at the center of this cavity. The main aim of this simulation is to simulate the interaction between the thermal convection and the propagation of these acoustic waves. The results have been validated with those obtained in the literature and show that the effect of natural convection on the acoustic waves propagation is almost negligible for low Rayleigh numbers (Ra ≤ 10 4), begins to appear when the Rayleigh number begins to become important (Ra ≥ 10 5) and it becomes considerable for large Rayleigh numbers (Ra ≥ 10 6) where the thermal convection is important.
International Journal of Renewable Energy Development
Numerical study of various physical phenomena in three dimensions has become a necessity to bette... more Numerical study of various physical phenomena in three dimensions has become a necessity to better understand the physical process than in two dimensions. Thus, in this paper, the code is elaborated to be adapted to the simulation of heat transfer in three dimensions. The numerical simulations are performed using a hybrid method. This method is based on the lattice Boltzmann approach for the computation of velocities, and on the finite difference technique for the calculation of temperature. The used numerical code is validated by examining the free convection in a cubic enclosure filled with air. Then, the analysis of the heat exchange between two cold vertical walls and a heated block located at the center of a cubic cavity is considered. The performed simulations showed that for a small value of the Rayleigh number (Ra=103 for example), the fluid exchanges its heat almost equally with all hot surfaces of the obstacle. However, for large values of Ra (Ra≥104), the numerical resul...
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Thesis Chapters by Jaouad Benhamou
The first two sections deal with the basic mathematical formulations of the kinetic theory of gases and the numerical lattice Boltzmann approach. Numerical simulations are started in the third part. This part first presents the basic principles of acoustics and then gives a two-dimensional (2D) study of acoustic waves propagation in water. The waves are generated by a rectangular acoustic source vibrating at 200 kHz. The objective is to calculate the acoustic pressure and force produced in the near field, and then to inject the numerically calculated force into the LBM code used to produce the acoustic streaming flow.
Given the importance of numerical studies used as data to perform experiments, the simulation of physical problems in three dimensions (3D) becomes a necessity to visualize the physical phenomenon much better than in 2D. Therefore, the three-dimensional lattice Boltzmann method is used in the fourth section to study the propagation of acoustic waves in water. The main objective of this numerical study is to show how waves generated by a point source and square and circular shaped sources propagate instantaneously in 3D, to calculate the acoustic pressure and to highlight the performance of LBM simulations. A comparison of the numerical results found with the analytical data is performed to validate the numerical approach used.
The fifth part presents a 3D numerical study of the physical phenomena of ultrasound propagation in air, thermal convection and their interaction. Considering its advantages in terms of accuracy and computational efficiency over the pure LBM method, the hybrid method based on the LBM approach for the description of the hydrodynamic behavior of the fluid and the finite difference technique for the temperature calculation is introduced in this last part to investigate the improvement of the heat transfer by the ultrasound.
Papers by Jaouad Benhamou
The first two sections deal with the basic mathematical formulations of the kinetic theory of gases and the numerical lattice Boltzmann approach. Numerical simulations are started in the third part. This part first presents the basic principles of acoustics and then gives a two-dimensional (2D) study of acoustic waves propagation in water. The waves are generated by a rectangular acoustic source vibrating at 200 kHz. The objective is to calculate the acoustic pressure and force produced in the near field, and then to inject the numerically calculated force into the LBM code used to produce the acoustic streaming flow.
Given the importance of numerical studies used as data to perform experiments, the simulation of physical problems in three dimensions (3D) becomes a necessity to visualize the physical phenomenon much better than in 2D. Therefore, the three-dimensional lattice Boltzmann method is used in the fourth section to study the propagation of acoustic waves in water. The main objective of this numerical study is to show how waves generated by a point source and square and circular shaped sources propagate instantaneously in 3D, to calculate the acoustic pressure and to highlight the performance of LBM simulations. A comparison of the numerical results found with the analytical data is performed to validate the numerical approach used.
The fifth part presents a 3D numerical study of the physical phenomena of ultrasound propagation in air, thermal convection and their interaction. Considering its advantages in terms of accuracy and computational efficiency over the pure LBM method, the hybrid method based on the LBM approach for the description of the hydrodynamic behavior of the fluid and the finite difference technique for the temperature calculation is introduced in this last part to investigate the improvement of the heat transfer by the ultrasound.