Prediction and simulation of diffusion of a droplet in a porous media using two-phase control volume

Document Type : Original Article

Authors
Arash Nourbakhshsadabad 1
Afsouni Fatemeh 2
Seyyed Amirreza Abdollahi 2
Mahdi Nami Khalilehdeh 3
Seyyed Faramarz Ranjbar 4
1 Ph.D. Candidate, Department of Mechanical Engineering, University of Tabriz, Tabriz, Iran.
2 Master's student , faculty of mechanical engineering, University of Tabriz, Tabriz, Iran.
3 Master's student, faculty of mechanical engineering, University of Tabriz, Tabriz, Iran.
4 Professor, Department of Mechanical Engineering, University of Tabriz, Tabriz, Iran
10.22034/stme.2023.400164.1036
Abstract
In this article, diffusion of a droplet in a porous media using a two-phase fluid volume is studied. Considering the importance of two-phase flow in achieving an accurate solution, this method is used in this study. The most important aspect of modeling two-phase flow in a porous media is conformity with empirical results. In this study the main focus is to provide a model based on simulations done with fluid volume method. The impact of parameters such as surface tension, viscosity, contact angle, diffusivity and expansion surface of a droplet in a porous media are studied. When the contact angle of 20 and 60 degree is considered, surface changes are almost negligible. Diffusivity of the droplet when gravity is not present with surface tension of 0.02 is less compared to 0.001 and 0.0072 values for surface tension while in the presence of gravity, the droplet with surface tension of 0.001 diffusivity is more than two other cases. Results indicate that the method of fluid volume utilized in this study, has 9 precent more accuracy compared to Boltzmann network method based on Shaun and Chen.
Keywords
Two-phase flow
fluid volume
Droplet diffusivity
Porous media
Droplet diffusion
Subjects
[1] Ezzatneshan, E. and Goharimehr, R., “A Pseudopotential Lattice Boltzmann Method for Simulation of Two-Phase Flow Transport in Porous Medium at High-Density and High-Viscosity Ratios,” Geofluids, vol. 2021, 2021, doi: 10.1155/2021/5668743.
[2] Cerqueira, R. F. L., Paladino, E. E., Evrard, F., Denner, F., and Wachem, B. van, “Multiscale modeling and validation of the flow around Taylor bubbles surrounded with small dispersed bubbles using a coupled VOF-DBM approach,” Int. J. Multiph. Flow, vol. 141, 2021, doi: 10.1016/j.ijmultiphaseflow.2021.103673.
[3] Li, X., Hao, Y., Zhao, P., Fan, M., and Song, S., “Simulation study on the phase holdup characteristics of the gas–liquid-solid mini-fluidized beds with bubbling flow,” Chem. Eng. J., vol. 427, 2022, doi: 10.1016/j.cej.2021.131488.
[4] Fu, F., Li, P., Wang, K., and Wu, R., “Numerical Simulation of Sessile Droplet Spreading and Penetration on Porous Substrates,” Langmuir, vol. 35, no. 8, 2019, doi: 10.1021/acs.langmuir.8b03472.
[5] Taghilo, M. and Rahimian, M., “Simulation of two-dimensional drop penetration inside porous media using lattice Boltzmann method,” Modares Mechanical Engineering, 13, No. 13, pages 43 to 56. 2016.
[6] El-Amin, M. F., Alwated, B., and Hoteit, H. A., “Machine Learning Prediction of Nanoparticle Transport with Two-Phase Flow in Porous Media,” Energies, vol. 16, no. 2, 2023, doi: 10.3390/en16020678.
[7] Helseth, L. E. and Greve, M. M., “Wetting of porous thin films exhibiting large contact angles,” J. Chem. Phys., vol. 158, no. 9, 2023, doi: 10.1063/5.0138148.
[8] Chebbi, R., “Absorption and Spreading of a Liquid Droplet over a Thick Porous Substrate,” ACS Omega, vol. 6, no. 7, 2021, doi: 10.1021/acsomega.0c05341.
[9]    Salehabadi, H., Nazari, M., and Kihani, M. H., “Two-phase modeling of fluid penetration and navigation in specific paths inside a layered porous medium using the Boltzmann network method,” Mechanical Engineering, Tabriz University, D 47, No. 3, pages 129 to 138, 2016.
[10] Ozaki, H. and Aoyagi, T., “Prediction of steady flows passing fixed cylinders using deep learning,” Sci. Rep., vol. 12, no. 1, 2022, doi: 10.1038/s41598-021-03651-8.
[11] Bhat, N. U. H. and Pahar, G., “Depth-averaged coupling of submerged granular deformation with fluid flow: An augmented HLL scheme,” J. Hydrol., vol. 606, 2022, doi: 10.1016/j.jhydrol.2021.127364.
[12] Li, Y., Zhang, J., and Fan, L. S., “Numerical simulation of gas-liquid-solid fluidization systems using a combined CFD-VOF-DPM method: Bubble wake behavior,” Chem. Eng. Sci., vol. 54, no. 21, 1999, doi: 10.1016/S0009-2509(99)00263-8.
[13] Liu, Q. and Luo, Z. H., “CFD-VOF-DPM simulations of bubble rising and coalescence in low hold-up particle-liquid suspension systems,” Powder Technol., vol. 339, 2018, doi: 10.1016/j.powtec.2018.08.041.
[14] Przykaza, K., Woźniak, K., Jurak, M., Wiącek, A. E., and Mroczka, R., “Properties of the Langmuir and Langmuir–Blodgett monolayers of cholesterol-cyclosporine A on water and polymer support,” Adsorption, vol. 25, no. 4, 2019, doi: 10.1007/s10450-019-00117-2.
[15] Ding, B., Dong, M., Chen, Z., and Kantzas, A., “Enhanced oil recovery by emulsion injection in heterogeneous heavy oil reservoirs: Experiments, modeling and reservoir simulation,” J. Pet. Sci. Eng., vol. 209, 2022, doi: 10.1016/j.petrol.2021.109882.
[16] Navaz, H. K. et al., “Sessile droplet spread into porous substrates-Determination of capillary pressure using a continuum approach,” J. Colloid Interface Sci., vol. 325, no. 2, 2008, doi: 10.1016/j.jcis.2008.04.078.
[17] Deng, H., Huang, Y., Yang, Y., Wu, S., and Chen, Z., “Three-dimensional numerical investigation on micro-meter droplet impact and penetration into the porous media with different velocities,” MATEC Web Conf., vol. 355, 2022, doi: 10.1051/matecconf/202235501009.
[18] Zarareh, A., Burnside, S. B., Khajepor, S., and Chen, B., “Improving the staircase approximation for wettability implementation of phase-field model: Part 2 – Three-component permeation,” Comput. Math. with Appl., vol. 109, 2022, doi: 10.1016/j.camwa.2022.01.005.

  • Receive Date 07 June 2023
  • Revise Date 24 July 2023
  • Accept Date 26 August 2023
  • First Publish Date 26 August 2023
  • Publish Date 22 June 2023