Volume 20, Issue 3 (March 2020)                   Modares Mechanical Engineering 2020, 20(3): 575-585 | Back to browse issues page

‎ 20.1001.1.10275940.1398.20.3.22.3

XML Persian Abstract Print

Download citation:
BibTeX | RIS | EndNote | Medlars | ProCite | Reference Manager | RefWorks
Send citation to:
Safa R, Soltani Goharrizi A, Jafari S, Jahanshahi Javaran E. Simulation of Particles Dissolution Process in Shear Field using Combined Concentration Lattice Boltzmann–Smoothed Profile Methods. Modares Mechanical Engineering 2020; 20 (3) :575-585
URL: http://mme.modares.ac.ir/article-15-28676-en.html
Simulation of Particles Dissolution Process in Shear Field using Combined Concentration Lattice Boltzmann–Smoothed Profile Methods
R. Safa1 , A. Soltani Goharrizi * 2, S. Jafari3 , E. Jahanshahi Javaran4
1- Chemical Engineering Department, Shahid Bahonar University, Kerman, Iran
2- Chemical Engineering Department, Shahid Bahonar University, Kerman, Iran , a.soltani@uk.ac.ir
3- Petroleum Engineering Department, Shahid Bahonar University, Kerman, Iran
4- Energy Conversion & Renewable Energy Engineering Department, Graduate University of Advanced Technology, Kerman, Iran
Abstract:   (4882 Views)

In the present study, the combination of concentration lattice Boltzmann method with a smoothed profile method was used to simulate the dissolution of solid circular particles between parallel plates that are moving in opposite directions. The hydrodynamic simulation was performed based on the single relaxation time lattice Boltzmann method and the convection-diffusion equation was used to determine the concentration of the solute in the liquid phase. Additionally, the smoothed profile method was used to calculate the no-slip boundary condition at the liquid-solid interface and concentration forces. To evaluate the accuracy of the proposed model, the simulation results were compared with the empirical data in the literature. The difference between the simulation results and the empirical data for the Sherwood number at different Peclet numbers was less than 2%. The results show that the smallest dissolution time in systems with different volume fractions is in a system with the least volume fraction. As the volume fraction increases, the solid-liquid mass transfer driving force is decreased in the system. The simulation results showed that by increasing the Reynolds number from 0.05 to 0.38, the time required to reach the normalized volume fraction to 0.05 of its initial value reduced from 0.36 s to 0.17 s. Also, by increasing the Peclet number from 5.5 to 115, the Sherwood number increased from 1.74 to 4.06. In addition, the increase in the Schmidt number in the system leads to a slower dissolution time. Finally, the polydispersity in the system was studied.
 

Keywords: Dissolution particle concentration shear rate smoothed profile method
Full-Text [PDF 1294 kb]   (2785 Downloads)    
Article Type: Original Research | Subject: Experimental Fluid Mechanics
Received: 2018/12/29 | Accepted: 2019/05/19 | Published: 2020/03/1
References
1. Derksen JJ, Reynolds G, Crampton A, Huang Z, Booth J. Simulations of dissolution of spherical particles in laminar shear flow. Chemical Engineering Research and Design. 2015;93:66-78. [Link] [DOI:10.1016/j.cherd.2014.06.027]
2. Jia X, Williams RA. A hybrid mesoscale modelling approach to dissolution of granules and tablets. Chemical Engineering Research and Design. 2007;85(7):1027-1038. [Link] [DOI:10.1205/cherd06218]
3. Siepmann J, Siepmann F. Mathematical modeling of drug dissolution. International Journal of Pharmaceutics. 2013;453(1):12-24. [Link] [DOI:10.1016/j.ijpharm.2013.04.044]
4. Han K, Feng YT, Owen DRJ. Coupled lattice Boltzmann and discrete element modelling of fluid-particle interaction problems. Computers & Structures. 2007;85(11-14):1080-1088. [Link] [DOI:10.1016/j.compstruc.2006.11.016]
5. Ladd AJC. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation. Journal of Fluid Mechanics. 1994;271:285-309. [Link] [DOI:10.1017/S0022112094001771]
6. Ladd AJC. Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 2. Numerical results. Journal of Fluid Mechanics. 1994;271:311-339. [Link] [DOI:10.1017/S0022112094001783]
7. Ladd AJC, Verberg R. Lattice-Boltzmann simulations of particle-fluid suspensions. Journal of Statistical Physics. 2001;104(5-6):1191-1251. [Link] [DOI:10.1023/A:1010414013942]
8. Feng ZG, Michaelides EE. Hydrodynamic force on spheres in cylindrical and prismatic enclosures. International Journal of Multiphase Flow. 2002;28(3):479-496. [Link] [DOI:10.1016/S0301-9322(01)00070-2]
9. Khalili B, Rahnama M, Jafari S, Jahanshahi Javaran E. Implementation of parallel processing on GPU for fluid flow simulation using Lattice Boltzmann method and Smoothed Profile method. Modares Mechanical Engineering. 2016;16(9):449-458. [Link]
10. Mohammadipoor O, Mirbozorgi SA. A new curved boundary treatment for the lattice Boltzmann method. Modares Mechanical Engineering. 2013;13(8):28-41. [Link]
11. Bouzidi MH, Firdaouss M, Lallemand P. Momentum transfer of a Boltzmann-lattice fluid with boundaries. Physics of Fluids. 2001;13(11):3452-3459. [Link] [DOI:10.1063/1.1399290]
12. Peskin CS. The immersed boundary method. Acta Numerica. 2002;11:479-517. [Link] [DOI:10.1017/S0962492902000077]
13. Nakayama Y, Yamamoto R. Simulation method to resolve hydrodynamic interactions in colloidal dispersions. Physical Review E, Covering Statistical, Nonlinear, Biological, and Soft Matter Physics. 2005;71(3 Pt 2B):036707. [Link] [DOI:10.1103/PhysRevE.71.036707]
14. Jafari S, Yamamoto R, Rahnama M. Lattice-Boltzmann method combined with smoothed-profile method for particulate suspensions. Physical Review E, Covering Statistical, Nonlinear, Biological, and Soft Matter Physics. 2011;83(2 Pt 2):026702. [Link] [DOI:10.1103/PhysRevE.83.026702]
15. Hu Y, Li D, Shu S, Niu X. An efficient smoothed profile-lattice Boltzmann method for the simulation of forced and natural convection flows in complex geometries. International Communications in Heat and Mass Transfer. 2015;68:188-199. [Link] [DOI:10.1016/j.icheatmasstransfer.2015.05.030]
16. Bhatnagar PL, Gross EP, Krook M. A model for collision processes in gases. I. Small amplitude processes in charged and neutral one-component systems. Physical Review. 1954;94(3):511. [Link] [DOI:10.1103/PhysRev.94.511]
17. Guo Z, Zheng C, Shi B. Discrete lattice effects on the forcing term in the lattice Boltzmann method. Physical Review E, Covering Statistical, Nonlinear, Biological, and Soft Matter Physics. 2002;65(4):046308. [Link] [DOI:10.1103/PhysRevE.65.046308]
18. Luo X, Maxey MR, Karniadakis GE. Smoothed profile method for particulate flows: Error analysis and simulations. Journal of Computational Physics. 2009;228(5):1750-1769. [Link] [DOI:10.1016/j.jcp.2008.11.006]
19. Behrend O. Solid-fluid boundaries in particle suspension simulations via the lattice Boltzmann method. Physical Review E, Covering Statistical, Nonlinear, Biological, and Soft Matter Physics. 1995;52(1):1164-1175. [Link] [DOI:10.1103/PhysRevE.52.1164]
20. Frankel NA, Acrivos A. Heat and mass transfer from small spheres and cylinders freely suspended in shear flow. The Physics of Fluids. 1968;11(9):1913-1918. [Link] [DOI:10.1063/1.1692218]
Add your comments about this article : Your username or Email:
CAPTCHA
Send email to the article author

Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.