THERMAL SCIENCE
International Scientific Journal
NUMERICAL MODEL FOR NON-DARCY FLOW THROUGH COARSE POROUS MEDIA USING THE MOVING PARTICLE SIMULATION METHOD
ABSTRACT
A numerical model for non-Darcy flow, which occurs when water moves through coarse porous media under high Reynolds number, is developed. The governing equation for incompressible viscous flow through porous media is composed of a continuity equation and a momentum equation, which is the Navier-Stokes equation with an additional non-linear resistance term based on Forchheimer’s law. For the discretization scheme, moving particle simulation method is employed. In order to assess the model validity, seepage experiments in different kinds of coarse porous media are implemented, and then reproducibility of the numerical results is examined. From the results, it is found that the computational flow velocities at middle part of porous media are in good agreement with experimental ones while velocities at outflow end are overestimated.
KEYWORDS
PAPER SUBMITTED: 2017-12-31
PAPER REVISED: 2018-03-28
PAPER ACCEPTED: 2018-03-28
PUBLISHED ONLINE: 2018-09-23
THERMAL SCIENCE YEAR
2018, VOLUME
22, ISSUE
Issue 5, PAGES [1955 - 1962]
- Bear, J., Dynamics of Fluids in Porous Media, American Elsevier Publishing Company, Inc., Cambridge, Massachusetts, USA, 1972
- Yamada, H., et al., Measuring Hydraulic Permeability in a Streamed Using the Packer Test, Hydrological Processes, 19 (2005), 13, pp. 2507-2524
- Kitahara, H., Characteristics of Pipe Flow in a Sub-surface Soil Layer on a Gentle Slope (II): Hydraulic Properties of Pipes (in Japanese), Journal of the Japanese Forest Society, 71 (1989), 8, pp. 317-322
- Sidiropoulou, M. G., et al., Determination of Forchheimer Equation Coefficients a and b, Hydrological Processes, 21 (2007), 4, pp. 534-554
- Soni, J. P., et al., An Experimental Evaluation of non-Darcian Flow in Porous Media, Journal of Hydrology, 38 (1978), 3-4, pp. 231-241
- Huang, C.-J., et al., Structural Permeability Effects on the Interaction of a Solitary Wave and a Submerged Breakwater, Coastal Engineering, 49 (2003), 1-2, pp. 1-24
- Shao, S., Incompressible SPH Flow Model for Wave Interactions with Porous Media, Coastal Engineering, 57 (2010), 3, pp. 304-316
- Akbai, H., Namin, M. M., Moving Particle Method for Modeling Wave Interaction with Porous Structures, Coastal Engineering, 74 (2013), Apr., pp. 59-73
- Akbari, H., Modified Moving Particle Method for Modeling Wave Interaction with Multi Layered Porous Structures, Coastal Engineering, 89 (2014), July, pp. 1-19
- Hamdan, M. O., An Empirical Correlation for Isothermal Parallel Plate Channel Completely Filled with Porous Media, Thermal Science, 17 (2013), 4, pp. 1061-1070
- Motsa, S. S., Animasaun, I. L., A New Numerical Investigation of Some Thermos-physical Properties on Unsteady MHD non-Darcian Flow Past an Impulsively Started Vertical Surface, Thermal Science, 19 (2015), 1, pp. S429-S258
- Sayehvand, H.-O., et al., Numerical Analysis of Forced Convection Heat Transfer from Two Tandem Circular Cylinders Embedded in a Porous Medium, Thermal Science, 21 (2017), 5, pp. 2117-2128
- Koshizuka, S., Oka, Y., Moving-particle Semi-implicit Method for Fragmentation of Incompressible Fluid, Nuclear Science and Engineering, 123 (1996), 3, pp. 421-434
- Koshizuka, S., et al., A Particle Method for Incompressible Viscous Flow with Fragmentation, Computational Fluid Dynamics J., 4 (1995), 1, pp. 29-46
- Shao, S., Lo, E. Y. M., Incompressible SPH Method for Simulating Newtonian and non-Newtonian Flows with a Free Surface, Advances in Water Resources, 26 (2003), 7, pp. 787-800
- van Gent, M. R. A., Porous Flow Through Rubble-mound Material, Journal of Waterway, Port, Coastal, and Ocean Engineering, 121 (1995), 3, pp. 176-181