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Modelling of power-law fluid flow through porous media using smoothed particle hydrodynamics

Vakilha, M ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1007/s11242-007-9199-z
  3. Publisher: 2008
  4. Abstract:
  5. The flow of non-Newtonian fluids through two-dimensional porous media is analyzed at the pore scale using the smoothed particle hydrodynamics (SPH) method. A fully explicit projection method is used to simulate incompressible flow. This study focuses on a shear-thinning power-law model (n < 1), though the method is sufficiently general to include other stress-shear rate relationships. The capabilities of the proposed method are demonstrated by analyzing a Poiseuille problem at low Reynolds numbers. Two test cases are also solved to evaluate validity of Darcy's law for power-law fluids and to investigate the effect of anisotropy at the pore scale. Results show that the proposed algorithm can accurately simulate non-Newtonian fluid flows in porous media. © Springer Science+Business Media B.V. 2007
  6. Keywords:
  7. Crystallography ; Flow measurement ; Flow of fluids ; Fluid dynamics ; Groundwater flow ; Hydrodynamics ; Incompressible flow ; Laws and legislation ; Liquids ; Newtonian liquids ; Non Newtonian flow ; Porous materials ; Reynolds number ; Rheology ; Two dimensional ; Viscous flow ; Anisotropic fibrous media ; Darcy's law ; Non-Newtonian fluid flows ; Non-newtonian fluids ; Poiseuille flow ; Pore scale ; Pore-scale simulation ; Porous mediums ; Power-law fluids ; Power-law models ; Projection methods ; Reynolds ; Shear rates ; Shear-thinning ; Shear-thinning fluid ; Smoothed particle hydrodynamics ; Smoothed-particle hydrodynamics method ; Test cases ; Fluid mechanics ; Algorithm ; Computer simulation ; Darcy law ; Flow modeling ; Hydrodynamics ; Non-Newtonian fluid ; Porous medium ; Shear flow ; Two-dimensional flow
  8. Source: Transport in Porous Media ; Volume 74, Issue 3 , 2008 , Pages 331-346 ; 01693913 (ISSN)
  9. URL: https://link.springer.com/article/10.1007/s11242-007-9199-z