ISSN Print: 1091-028X
ISSN Online: 1934-0508
Volume 23, 2020
Volume 22, 2019
Volume 21, 2018
Volume 20, 2017
Volume 19, 2016
Volume 18, 2015
Volume 17, 2014
Volume 16, 2013
Volume 15, 2012
Volume 14, 2011
Volume 13, 2010
Volume 12, 2009
Volume 11, 2008
Volume 10, 2007
Volume 9, 2006
Volume 8, 2005
Volume 7, 2004
Volume 6, 2003
Volume 5, 2002
Volume 4, 2001
Volume 3, 2000
Volume 2, 1999
Volume 1, 1998
Journal of Porous Media
INVESTIGATION OF MIXING PROCESS OF TWO DIFFERENT GASES IN A MICROMIXER: EFFECT OF POROUS MEDIUM AND KNUDSEN NUMBER
Department of Mechanical Engineering, University of Kashan, Kashan, Iran
Davood Semiromi Toghraie
Department of Mechanical Engineering, Khomeinishahr Branch, Islamic Azad University,
Omid Ali Akbari
Young Researchers and Elite Club, Khomeinishahr Branch, Islamic Azad University, Khomeinishahr, Iran
Department of Mechanical Engineering, Urmia University of Technology, Urmia, Iran
Department of Mechanical Engineering, Kermanshah University of Technology, Kermanshah,
In the present research, by using finite volume method and applying a first-order slip boundary condition, the effect of porous media on the mixing process of CO and N2 gases in the T-shaped micromixer is investigated. The effect of the permeability coefficient of the porous medium (Darcy number) and its length on the quality of mixing and heat transfer have been investigated. The results indicate that the increase of the length of porous medium leads to an increase of the length of entrance region by blocking the flow and causes the improvement of the mixing process and reduction of the mixing lengths. The obtained results show that, by decreasing Darcy number, the quality of mixing has been improved and the mixing length is reduced. According to the results, when there is no porous media, the complete mixing is accrued at x/L = 0.54, and the presence of the porous media (Da number = 0.001, length of porous media = 2 μm) leads to complete mixing at x/L = 0.2. The results demonstrate that the use of a porous medium reduces the thermal entrance length and increases the temperature difference between gases and micromixer walls that causes the reduction of heat transfer coefficient and Nusselt number. The results show that when there is no porous media the Nusselt number is 4, whereas with the existence of the porous media (Da number = 0.001, length of porous media = 2 μm) the Nusselt number is 1.9. The influence of Knudsen number on the mixing efficiency is investigated, too. According to the results, by increasing Knudsen number, the heat transfer and friction coefficient decrease; however, due to the improvement of permeability of species, because of Knudsen number increment, the mixing has been improved and the length of mixing reduces.
Aubin, J., Fletcher, D.F., and Xuereb, C., Design of Micromixers Using CFD Modeling, Chem. Eng. Sci., vol. 60, pp. 2503-2516, 2005.
Amann-Hildenbrand, A., Dietrichs, J.P., and Krooss, B.M., Effective Gas Permeability of Tight Gas Sandstones as a Function of Capillary Pressure-A Non-Steady-State Approach, Geofluids, vol. 16, pp. 367-383, 2016.
Akbari, O.A., Toghraie, D., and Karimipour, A., Impact of Ribs on Flow Parameters and Laminar Heat Transfer of Water-Aluminum Oxide Nanofluid with Different Nanoparticle Volume Fractions in a Three-Dimensional Rectangular Microchannel, Adv. Mech. Eng., vol. 7, no. 11, pp. 1-11,2015.
Akgonul, S., Ozbey, A., Karimzadehkhouei, M., Gozuacik, D., and Kosar, A., The Effect of Asymmetry on Micromixing in Curvilinear Microchannels, Microfluidics Nanofluidics, vol. 21, pp. 118-139, 2017.
Behnampour, A., Akbari, O.A., Safaei, M.R., Ghavami, M., Marzban, A., Ahmadi, Gh.R., Zarringhalam, M., and Mashayekhi, R., Analysis of Heat Transfer and Nanofluid Fluid Flow in Microchannels with Trapezoidal, Rectangular and Triangular Shaped Ribs, Physica E, vol. 91, pp. 15-31, 2017.
Bultreys, T. , Stappen, J. V. , Kock, T. D . , Boever, W. D . , Boone, A . , Hoorebeke, L . V. , and Cnudde, V. , Investigating the Relative Permeability Behavior of Microporosity-Rich Carbonates and Tight Sandstones with Multiscale Pore Network Models, J. Geophys. Res. Solid Earth, vol. 121, pp. 7929-7645, 2016.
Cluff, R.M. and Byrnes, A.P., Relative Permeability in Tight Gas Sandstone Reservoirs-The Permeability Jail Model, SPWLA 51st Annual Logging Symposium, Perth, Australia, June 19-23,2010.
Gobby, D., Angeli, P., and Gavriilidis, A., Mixing Characteristics of T-Type Microfluidic Mixers, J. Micromech. Microeng., vol. 11, pp. 126-132,2001.
Hassanizadeh, S.M., Theory and Applications of Transport in Porous Media, Berlin: Springer, 2006.
Heydari, M., Toghraie, D., and Akbari, O.A., The Effect of Semi-Attached and Offset Mid-Truncated Ribs and Water/TiO2 Nanofluid on Flow and Heat Transfer Properties in a Triangular Microchannel, Therm. Sci. Eng. Prog., vol. 2, pp. 140-150, 2017.
Hosseinalipour, S.M., Jabbari, E., Madadelahi, M., and Fardad, A., Gas Mixing Simulation in a T-Shape Micro Channel Using the DSMC Method, Trans. Phenom. Nano Micro Scales, vol. 2, no. 2, pp. 132-139, 2014.
Huang, C.Y., Wan, S.A., and Hu, Y.H., Oxygen and Nitrogen Gases Mixing in T-Type Micromixers Visualized and Quantitatively Characterized Using Pressure-Sensitive Paint, Int. J. Heat Mass Transf., vol. 111, pp. 520-531,2017.
Huang, Z., Yan, X., and Yao, J., A Two-Phase Flow Simulation of Discrete-Fractured Media Using Mimetic Finite Difference Method, Commun. Comput. Phys, vol. 16, no. 3, pp. 799-816, 2014.
Jen, C.P., Wu, C.Y., Lin, Y.C., and Wu, C.Y., Design and Simulation of the Micromixer with Chaotic Advection in Microchannels, Lab Chip, vol. 3, pp. 77-81,2003.
Kandlikar, S.G., Garimella, S., Li, D., Colin, S., and King, M.R., Heat Transfer and Fluid Flow in Minichannels and Microchannels, Oxford, UK: Elsevier, 2006.
Kim, D.S., Lee, S.W., Kwon, T.H., and Lee, S.S., A Barrier Embedded Chaotic Micromixer, J. Micromech. Microeng, vol. 14, pp. 798-805, 2004.
Kolditz, O., Non-Linear Flow in Fractured Media, in Computational Methods in Environmental Fluid Mechanics, Berlin: Springer, 2002.
Le, M. and Hassan, I., DSMC Simulation of Gas Mixing in T-Shape Micromixer, Appl. Therm. Eng., vol. 27, pp. 2370-2377, 2007.
Lin, C.H., Tsai, C.H., and Fu, L.M., A Rapid Three-Dimensional Vortex Micromixer Utilizing Self-Rotation Effects under Low Reynolds Number Conditions, J. Micromech. Microeng., vol. 15, pp. 935-943, 2005.
Mashayekhi, R., Khodabandeh, E., Bahiraei, M., Bahrami, L., Toghraie, D., and Akbari, O.A., Application of a Novel Conical Strip Insert to Improve the Efficacy of Water-Ag Nanofluid for Utilization in Thermal Systems: A Two-Phase Simulation, Energy Convers. Manage., vol. 151, pp. 573-586, 2017.
Mengeaud, V., Josserand, J., and Girault, H.H., Mixing Processes in a Zigzag Microchannel: Finite Element Simulations and Optical Study, Anal. Chem., vol. 74, pp. 4279-4286,2002.
Ouyang, Y., Xiang, Y., Zou, H., Chu, G., and Chen, J., Flow Characteristics and Micromixing Modeling in a Microporous Tube- in-Tube Microchannel Reactor by CFD, Chem. Eng. J, vol. 321, pp. 533-545, 2017.
Park, S.J., Kim, J.K., Park, J., Chung, S., Chung, C., and Chang, J.K., Rapid Three-Dimensional Passive Rotation Micromixer Using the Breakup Process, J. Micromech. Microeng., vol. 14, pp. 6-14, 2004.
Pourfattah, F., Motamedian, M., Sheikhzadeh, G., and Toghraie, D., The Numerical Investigation of Angle of Attack of Inclined Rectangular Rib on the Turbulent Heat Transfer of Water-Al2O3 Nanofluid in a Tube, Int. J. Mech. Sci., vols. 131-132, pp. 1106-1116, 2017.
Reyhanian, M., Croizeta, C., and Gatignol, R., Numerical Analysis of the Mixing of Two Gases in a Microchannel, Mech. Indust., vol. 14, pp. 453-460, 2013.
Rezaei, O., Akbari, O.A., Marzban, A., Toghraie, D., Pourfattah, F., and Mashayekhi, R., The Numerical Investigation of Heat Transfer and Pressure Drop of Turbulent Flow in a Triangular Microchannel, Physica E, vol. 93, pp. 179-189,2017.
Shamsi, M.R., Akbari, O.A., Marzban, A., Toghraie, D., and Mashayekhi, R., Increasing Heat Transfer of Non-Newtonian Nanofluid in Rectangular Microchannel with Triangular Ribs, Physica E, vol. 93, pp. 167-178, 2017.
Singh, M.K., Anderson, P.D., and Meijer, H.E.H., Understanding and Optimizing the SMX Static Mixer, Macromol. Rapid Commun., vol. 30, pp. 362-376, 2009.
Tsai, R. and Wu, C., An Efficient Micromixer based on Multidirectional Vortices due to Baffles and Channel Curvature, Biomi-crofluidics, vol. 5, no. 1, p. 014103, 2011.
Wang, M. and Li, Z., Gases Mixing in Microchannels Using the Direct Simulation Monte Carlo Method, ASME Int. Conf. Micro and Mini Channel, Toronto, CA, June 13-15,2005.
Wang, M. and Li, Z., Gas Mixing in Microchannels Using the Direct Simulation Monte Carlo Method, Int. J. Heat Mass Transf., vol. 49, pp. 1696-1702,2006.
Wong, S.H., Ward, M.C.L., and Wharton, C.W., Micro T-Mixer as a Rapid Mixing Micromixer, Sensors Actuators B: Chem., vol. 100, pp. 359-379, 2004.
Yan, F. and Farouk, B., Numerical Simulation of Gas Flow and Mixing in a Microchannel Using the Direct Simulation Monte Carlo Method, Microscale Thermophys. Eng., vol. 6, pp. 235-251, 2002.
Zendehboudi, S. and Chatzis, I., Experimental Study of Controlled Gravity Drainage in Fractured Porous Media, J. Canadian Petrol. Technol., vol. 50, no. 2,2011.
Zendehboudi, S., Chatzis, I., Shafiei, A., and Dusseault, M.B., Empirical Modeling of Gravity Drainage in Fractured Porous Media, Energy Fuels, vol. 25, no. 3, pp. 1229-1241, 2011.
Zendehboudi, S., Elkamel, A., Chatzis, I., Ahmadi, M.A., Bahadori, A., and Lohi, A., Estimation of Breakthrough Time for Water Coning in Fractured Systems: Experimental Study and Connectionist Modeling, AICHE J, vol. 60,no. 5,pp. 1905-1919,2014.