Investigating the Effect of Changing the Shape of the Cross Section of an Elliptical Obstacle on the Deposition of Micro Particles Inside the Channel Using the Boltzmann Network Method

Roshani, Babak; Rahmati, Ahmadreza

doi:10.47176/jcme.43.1.1027

Document Type : Original Article

Authors

Department of Mechanical Engineering, University of Kashan, Kashan, Iran

https://doi.org/10.47176/jcme.43.1.1027

Abstract

In the current study, transportation of the microparticles deposition through a channel has been investigated where elliptical obstacle with constant cross sectional area but different shape factors was assumed in the channel. Numerical simulation was conducted using lattice Boltzmann method, and Lagrange method was used for particle tracking. A two-dimensional and nine-velocity model was used as the network model. A curved boundary condition was applied for the obstacle
boundaries. In the designed model, particles at standard condition were injected at the inlet of the channel. Gravity force, drag force, Brownian force and Soffman lift force were applied in the motion equation of the particles. The effect of shape factor as a geometrical parameter, which was defined as the ratio of the diameters of elliptical obstacle, and the flow parameters such as Reynolds’ number was examined on the particle deposition and particle scattering. Results were examined at eight different shape factors and five different Reynolds numbers .Results revealed that the change in the shape factor varies the effect of the obstacle in the flowing stream, and also changes the flow regime. This variation was obtained at different Reynolds numbers. Furthermore, changes of the shape factor associated with variations in the flow regime and deposition mechanisms, changes the forces exerted on the particles. Generally, the effect of the mentioned parameters can be interpreted based on the number of the precipitated particles.

Keywords

Main Subjects

Fluid Dynamics

References

Hinds, W. C., and Zhu, Y., “Aerosol Technology: Properties, Behavior, and Measurement of Airborne Particles”, 2^st, 483, John Wiley & Sons, 1999.
Wing, E. J., and Schiffman, F. J., “Cecil Essentials of Medicine E-Book”, 10^st, Elsevier Health Sciences, 2021.
Ma, X., Zhang, T., Ji, C., Zhai, Y., Shen, X. and Hong, J., “Threats to Human Health and Ecosystem: Looking for Air-Pollution Related Damage since 1990”, Renewable and Sustainable Energy Reviews, Vol. 145, p. 111146, 2021.
Wang, Y., Hu, H., Wang, X., Liu, H., Dong, L., Luo, G., Zhao, Y. and Yao, H., “A Critical Review on Lead Migration, Transformation and Emission Control in Chinese Coal‐Fired Power Plants”, Journal of Environmental Sciences, 124, pp. 397-413, 2023.
Li, C. and Tang, H., “Comparison of COVID-19 Infection Risks Through Aerosol Transmission in Supermarkets and Small Shops”, Sustainable Cities and Society, Vol. 76, pp. 103424, 2022.
Shinde, P. , Desai, V. P., Katkar, S. V., Oza, K. S., Kamat, R. K. and Thakar, C. M., “Big Data Analytics for Mask Prominence in COVID Pandemic”, Materials Today: Proceedings, Vol. 51, pp. 2471-2475, 2022.
Mao, N., An, C. , Guo, L. Y., Wang, M., Guo, L., Guo, S. R. and Long, E. S., “Transmission Risk of Infectious Droplets in Physical Spreading Process at Different Times: A Review”, Building and Environment, Vol. 185, pp. 107307, 2020.
May, K. R., and Clifford, R., “The Impaction of Aerosol Particles on Cylinders, Spheres, Ribbons and Discs”, The Annals of Occupational Hygiene, Vol. l0, pp. 83-95, 1967.
Brandon, D. J., and Aggarwal, S. K., “A Numerical Investigation of Particle Deposition on A Square Cylinder Placed in A Channel Flow”, Aerosol Science Technology ,Vol. 34, pp. 340-352, 2001.
Wang, J., and Pui, D.Y.H., “Filtration of Aerosol Particles by Elliptical Fibers: A Numerical Study”, Journal of Nanoparticle Research, 11, pp. 185-196, 2009.
Przekop, R., and Gradoń, L.,“Deposition and Filtration of Nanoparticles in the Composites of Nano-and Microsized Fibers”, Aerosol Science Technology, Vol. 42, pp. 483-493, 2008.
Jafari, S., Salmanzadeh, M., Rahnama, M., and Ahmadi, G., “Investigation of Particle Dispersion and Deposition in A Channel with A Square Cylinder Obstruction Using the Lattice Boltzmann Method”, Journal of Nanoparticle Research, Vol. 41, pp. 198-206, 2010.
Hosseini, S. A., and Vahedi Tafreshi, H., “On The Importance of Fiber’s Cross-Sectional Shape for Air Filters Operating in The Slip Flow Regime”, Powder Technology, Vol. 212, 425-431, 2011.
Himika, T. , Hasan, M. F., and Molla, M. M., “Lattice Boltzmann Simulation of Air flow and Mixed Convection in a General Ward of Hospital”, International Journal of Computational Engineering Science, pp. 1-15, 2016.
Guo, Z., Zheng, C., and Shi, B., “An Extrapolation Method for Boundary Conditions in Lattice Boltzmann Method”, Physics of Fluids, Vol. 14, pp. 2007-2010, 2002.
Chen, S., and Doolen, G. D., “Lattice Boltzmann Method for Fluid Flows”, Annual Review of Fluid Mechanics, Vol. 30, pp. 329-364, 1998.
Succi, S., “The Lattice Boltzmann Equation: For Fluid Dynamics and Beyond”, 1^st, Vol. 281, Oxford University Press, 2001.
Gabbanelli, S., Drazer, G., and Koplik, J., “Lattice Boltzmann Method for Non-Newtonian (Power-Law)”, Physical Review Fluids, Vol. 72, p. 04312, 2005.
Nejat, A., Abdollahi, V., and Vahidkhah, K., “Lattice Boltzmann Simulation of Non-Newtonian Flows Past Confined Cylinders”, Journal of Non-Newtonian Fluid Mechanics, Vol. 166, pp. 689-697, 2011.
Zhou, Y., Zhang, R., Staroselsky, I., Chen, H., Kim, W. T., and Jhon, M. S., “Simulation of Micro-and Nano-Scale Flows Via the Lattice Boltzmann Method”, Physica A: Statistical Mechanics and Its Application, Vol. 362, pp. 68-77, 2006.
Bajalan, S., Kouhi Kamali, R., and Rahimian, M. H., “Simulation of Two-Phase Flow and Heat Transfer in A Channel and around A Tube by Lattice-Boltzmann Method”, Amirkabir Journal of Mechanical Engineering, Vol. 53, pp. 499-516, 2021.
Filippova, O., and Hänel, D., “Grid Refinement for Lattice-BGK Models”, Journal of Computational Physics, Vol. 147(1), pp. 219-228, 1998.
Mei, R., Luo, L. S., and Shy, W., “An Accurate Curved Boundary Treatment in The Lattice Boltzmann Method”, Journal of Computational Physics, 155(2), pp. 307-330, 1999.
Zou, Q., and He, X., “On Pressure and Velocity Boundary Conditions for The Lattice Boltzmann BGK Model”, Physics of Fluids, Vol. 9, pp. 1591-1598, 1997.
Pan, A., Cai, R. R., and Zhang, L. Z., “Numerical Methodology for Simulating Particle Deposition on Super Hydrophobic Surfaces with Randomly Distributed Rough Structures”, Applied Surface Science, Vol. 68, pp. 150872, 2021.
Chen, C., Zhu, Y., Chen, M., and Shangguan, W., “A Novel Approach for Investigation of Collision Mechanisms Between Fine Particles in Electrostatic Precipitator under Consideration of Brownian Effect”, Chemical Engineering Research and Design, Vol. 168, pp. 96-108, 2021.
Li, A., and Ahmadi, G., “Dispersion and Deposition of Spherical Particles from Point Sources in A Turbulent Channel Flow”, Aerosol Science Technology, Vol. 16, pp. 209-226, 1992.
Li, A., and Ahmadi, G., “Deposition of Aerosols on Surfaces in A Turbulent Channel Flow”, International Journal of Engineering Science, Vol. 31, pp. 435-451, 1993.
Tritton, D. J., “Experiments on The Flow Past A Circular Cylinder at Low Reynolds Numbers”, Journal of Fluid Mechanics, Vol. 6, pp. 547-567, 1959.
Tehrani, A. and Moosavi, A., “Investigation of Particle Dispersion and Deposition in A Channel with Elliptic Obstructions Using Lattice Boltzmann Method”, 7^th IEEE International Conference on Nano/Micro Engineered and Molecular Systems (NEMS), pp. 523-528, 2012.
Salmanzadeh, M., Rahnama, M., and Ahmadi, G., “Particle Transport and Deposition A Duct Flow with A Rectangular Obstruction”, Particulate Science and Technology, Vol. 25, pp. 401-412, 2007.