Dissipative particle dynamics simulation of flow through periodic arrays of circular micropillar

doi:10.1007/s10483-016-2091-9

Abstract

Abstract:

Flow through arrays of micropillar embedded inside microfluidic chip systems is important for various microfluidic devices.It is critical to accurately predict the mass flow rate through pillar arrays based on the pillar design.This work presents a dissipative particle dynamics (DPD) model to simulate a problem of flow across periodic arrays of circular micropillar and investigates the permeability of two types of micropillar arrays.The flow fields including horizontal and vertical velocity fields,the number density field,and the streamline of the flow are analyzed.The predicted solid volumes by the presented DPD simulation of both types of arrays are quite close to the actual counterparts.These quantitative agreements show usefulness and effectiveness of the DPD model in simulating arrays of micropillar.By comparing two types of micropillar arrangement patterns,we find that the arrangement pattern of micropillar does not have significant influence on the permeability of the array.

Key words: dissipative particle dynamics(DPD), array of micropillar, permeability

2010 MSC Number:

Lüwen ZHOU, Yuqian ZHANG, Xiaolong DENG, Moubin LIU. Dissipative particle dynamics simulation of flow through periodic arrays of circular micropillar. Applied Mathematics and Mechanics (English Edition), 2016, 37(11): 1431-1440.

TrendMD

References

[1] De Beeck, J. O., de Malsche, W., Tezcan, D. S., de Moor, P., and Desmet, G. Impact of the limitations of state-of-the-art micro-fabrication processes on the performance of pillar array columns for liquid chromatography. Journal of Chromatography A, 1239, 35-48(2012)
[2] Hale, R. S., Ranjan, R., and Hidrovo, C. H. Capillary flow through rectangular micropillar arrays. International Journal of Heat and Mass Transfer, 75, 710-717(2014)
[3] Cui, H. H. and Lim, K. M. Pillar array microtraps with negative dielectrophoresis. Langmuir, 25(6), 3336-3339(2009)
[4] Nagrath, S., Sequist, L. V., Maheswaran, S., Bell, D. W., Irimia, D., Ulkus, L., Smith, M. R., Kwak, E. L., Digumarthy, S., Muzikansky, A., and Ryan, P. Isolation of rare circulating tumour cells in cancer patients by microchip technology. nature, 450(7173), 1235-1239(2007)
[5] Tamayol, A., Yeom, J., Akbari, M., and Bahrami, M. Low Reynolds number flows across ordered arrays of micro-cylinders embedded in a rectangular micro/minichannel. International Journal of Heat and Mass Transfer, 58, 420-426(2013)
[6] Tamayol, A. and Bahrami, M. Analytical determination of viscous permeability of fibrous porous media. International Journal of Heat and Mass Transfer, 52, 2407-2414(2009)
[7] Tamayol, A. and Bahrami, M. Transverse permeability of fibrous porous media. Physical Review E, 83, 046314(2011)
[8] Du Plessis, J. P. Analytical quantification of coefficients in the Ergun equation for fluid friction in a packed bed. Transport in Porous Media, 16(2), 189-207(1994)
[9] Spielman, L. and Goren, S. L. Model for predicting pressure drop and filtration efficiency in fibrous media. Environmental Science and Technology, 2, 279-287(1968)
[10] Srivastava, N., Din, C., Judson, A., MacDonald, N. C., and Meinhart, C. D. A unified scaling model for flow through a lattice of microfabricated posts. Lab on a Chip, 10, 1148-1152(2010)
[11] Ranjan, R., Patel, A., Garimella, S. V., and Murthy, J. Y. Wicking and thermal characteristics of micropillared structures for use in passive heat spreaders. International Journal of Heat and Mass Transfer, 55, 586-596(2012)
[12] Ellero, M. and Adams, N. A. SPH simulations of flow around a periodic array of cylinders confined in a channel. International Journal for Numerical Methods in Engineering, 86, 1027-1040(2011)
[13] Liu, M., Meakin, P., and Huang, H. Dissipative particle dynamics simulation of pore-scale multiphase fluid flow. Water Resources Research, 43(4), W04411(2007)
[14] Hoogerbrugge, P. J. and Koelman, J. M. V. A. Simulating microscopic hydrodynamic phenomena with dissipative particle dynamics. Europhysics Letters, 19(3), 155-160(1992)
[15] Liu, M. B., Liu, G. R., Zhou, L. W., and Chang, J. Z. Dissipative particle dynamics (DPD):an overview and recent developments. Archives of Computational Methods in Engineering, 22(4), 529-556(2015)
[16] Espaol, P. and Warren, P. Statistical mechanics of dissipative particle dynamics. Europhysics Letters, 30(4), 191-196(1995)
[17] Fan, X., Phan-Thien, N., Chen, S., Wu, X., and Ng, T. Y. Simulating flow of DNA suspension using dissipative particle dynamics. Physics of Fluids, 18, 063102(2006)
[18] Wu, X., Phan-Thien, N., Fan, X. J., and Ng, T. Y. A molecular dynamics study of drop spreading on a solid surface. Physics of Fluids, 15(6), 1357-1362(2003)
[19] Groot, R. D. Electrostatic interactions in dissipative particle dynamics-imulation of polyelectrolytes and anionic surfactants. The Journal of Chemical Physics, 118(24), 11265-11277(2003)
[20] Dzwinel, W., Yuen, D. A., and Boryczko, K. Mesoscopic dynamics of colloids simulated with dissipative particle dynamics and fluid particle model. Molecular Modeling Annual, 8(1), 33-43(2002)
[21] Janna, W. S. Introduction to Fluid Mechanics, CRC Press, Boca Raton (2009)
[22] Spielman, L. and Goren, S. L. Model for predicting pressure drop and filtration efficiency in fibrous media. Environmental Science and Technology, 2(4), 279-287(1968)
[23] Jackson, G. W. and James, D. F. The permeability of fibrous porous media. Canadian Journal of Chemical Engineering, 64, 364-374(1986)
[24] Higdon, J. J. L. and Ford, G. D. Permeability of three-dimensional models of fibrous porous media. Journal of Fluid Mechanics, 308, 341-361(1996)
[25] Chernyakov, A. L. Fluid flow through three-dimensional fibrous porous media. Journal of Experimental and Theoretical Physics, 86, 1156-1165(1998)
[26] Liu, M. B. and Liu, G. R. Particle Methods for Multi-Scale and Multi-Physics, World Scientific, Singapore (2015)