DOI QR코드

DOI QR Code

Direct Numerical Simulation of Flow Characteristics of the Fluid Laden with Many Particles

입자가 포함된 유체의 유동특성에 대한 직접수치해석

  • 조상호 (서울대학교 BK21 기계분야사업단) ;
  • 최형권 (서울산업대학교 기계공학과) ;
  • 유정열 (서울대학교 기계항공공학부)
  • Published : 2003.09.01

Abstract

Flow characteristics of the fluid laden with many particles in the two-dimensional channel are investigated using the Navier-Stokes equations coupled with the equation of motion of particles by direct numerical simulation. A four-step fractional step method with Crank-Nicolson scheme and ALE technique is used for P2P1 mixed finite element method. The motion and distribution of particles in the fluid is virtually described as a result of direct numerical simulation and the increase of viscosity is compared with theoretical equations. The effect of channel height on the relative viscosity and the tubular pinch effect are discussed.

Keywords

References

  1. Einstein, A., 1906, 'A New Determination of Molecular Dimensions,' Annln Phys. Vol. 19, pp. 289
  2. Batchelor, G. K., 1977, 'The Effect of Brownian Motion on the Bulk Stress in a Suspension of Spherical Particles,' J. Fluid Mech. Vol. 83, pp. 97-117 https://doi.org/10.1017/S0022112077001062
  3. Kataoka, T., Kitano, T., Sasahara, M., & Nishijima, K., 1978, 'Viscosity of Particle Filled Polymer Melts,' Rheol. Acta. Vol. 17, pp. 149-155 https://doi.org/10.1007/BF01517705
  4. Maron, S. H., & Pierce, P. E., 1956, J. Colloid Sci. Vol. 11, pp. 80 https://doi.org/10.1016/0095-8522(56)90023-X
  5. Mooney, 1951, M., J. Colloid Sci., Vol. 6, pp. 162 https://doi.org/10.1016/0095-8522(51)90036-0
  6. Segre, G., & Silberberg, A., 1962, 'Behavior of Macroscopic Rigid Spheres in Poiseuille Flow Part 1. 'Determination of Local Concentration by Statistical analysis of Particle Passages through Crossed Light Beams,' J. Fluid Mech. Vol. 14, pp. 115-135 https://doi.org/10.1017/S002211206200110X
  7. Hesla, T. I., 1991, 'Combined Formulation of Fluid-Particle Problem,' (unpublished note)
  8. Choi, H. G., & Joseph, D. D., 2001 'Fluidization by Lift of 300 Circular Particles in Plane Poiseuille Flow by Direct Numerical Simulation,' J. Fluid Mech., Vol. 438, pp. 101-128 https://doi.org/10.1017/S0022112001004177
  9. Patankar, N. A., Huang, P. Y., Ko, T., & Joseph, D. D., 2001, 'Lift-off of a Single Particle in Newtonian and Viscoelastic Fluids by Direct Numerical Simulation,' J. Fluid Mech., Vol. 438, pp. 67-100 https://doi.org/10.1017/S0022112001004104
  10. Hu, H. H., 1996, 'Direct Simulation of Flows of Solid-liquid Mixtures,' Int. J. Multiphase Flows, Vol. 22, pp. 335-352 https://doi.org/10.1016/0301-9322(95)00068-2
  11. Hu, H. H., Patankar, N. A., & Zhu, M. Y, 2001, 'Direct Numerical Simulations of Fluid-Solid Systems using the Arbitary Lagrangian-Eulerian Technique,' J. of Computational Physics Vol. 169, pp. 427-462 https://doi.org/10.1006/jcph.2000.6592
  12. Choi, H. G., 2000, 'Splitting Method for the Combined Formulation of the Fluid-Particle Problem,' Comput. Methods Appl. Mech. Engrg., Vol. 190, pp. 1367-1378 https://doi.org/10.1016/S0045-7825(00)00164-X
  13. Patankar, N. A., Huang, P. Y., Ko, T., & Joseph, D. D., 2001, 'Lift-off a Single Particle in Newtonian and Viscoelastic Fluids by Direct Numerical Simulation,' J. Fluid Mech., Vol. 438, pp. 67-100 https://doi.org/10.1017/S0022112001004104
  14. Segre, G., & Silberberg, A., 1962, 'Behavior of Macroscopic Rigid Spheres in Poiseuille Flow Part 2. Experimental Results and Interpretation,' J. Fluid Mech. Vol. 14, pp. 136-157 https://doi.org/10.1017/S0022112062001111
  15. Gavin, H. P., 1997, 'The Effect of Particle Concentration Inhomogeneities on the Steady Flow of Electro-and Magneto-Rheological Materials,' J. Non-Newtonian Fluid Mech. Vol. 71, pp. 165-182 https://doi.org/10.1016/S0377-0257(97)00010-4