A non-Newtonian direct numerical study for stationary and moving objects with various shapes: An immersed boundary – Lattice Boltzmann approach. (March 2016)

• Record Type: Journal Article
• Authors: Delouei, A. Amiri; Nazari, M.; Kayhani, M.H.; Ahmadi, G.
• Is Part Of: Journal of aerosol science. Volume 93(2016:Mar.)
• Page Start: 45
• Page End: 62
• Publication Date: 2016-03
• Subjects: Non-Newtonian fluid -- Immersed boundary method -- Lattice Boltzmann method -- Various cross-section shapes -- Moving boundary -- Split-forcing algorithm; Aerosols -- Periodicals; Aerosols -- Periodicals; Aérosols -- Périodiques; 541.34515
• DOI: 10.1016/j.jaerosci.2015.11.006
• Languages: English
• ISSNs: 0021-8502

Abstract

Abstract: This study is concerned with the non-Newtonian fluid flow over stationary obstacles of different shapes and sedimentation of particles in non-Newtonian liquids. The direct-forcing immersed boundary – Lattice Boltzmann method is used and the flows of non-Newtonian fluids including the pseudo-plastic and dilatant fluids in the vicinity of circular, square and triangular disks are studied. The proposed direct numerical method employs the split-forcing algorithm for considering the presence of Lagrangian boundary points on a fixed Eulerian fluid domain. Unlike the previously used methods, the effects of added mass due to particle acceleration are included in the analysis. The validation tests for both stationary and moving cylinders with cross-sections of different shapes immersed in Newtonian fluids are presented. The effects of the number of forcing points on a generalized Reynolds number are investigated by utilizing two to six points in the diffuse interfaces. The results show that the increase of shear-thinning behavior and the number of sides of a cross-section׳s shape slightly decrease the accuracy of solutions. The number of forcing points, however, has no significant effect on the hydrodynamics parameters. The high accuracy and the simplicity of implementation of the presented method may make it attractive for solving problems involving non-Newtonian fluid flow near stationary and/or moving boundaries with different shapes with application to drug delivery in biological systems, fluidized bed reactors, and polymer processing operations. Highlights: Newtonian as well as non-Newtonian fluid flows over stationary and falling particles of different shapes were studied. The direct-forcing immersed boundary approach with the Lattice Boltzmann method was used, and flows around circular, square and triangular disks were studied. The accuracy and simplicity of implementation of the presented method may make it attractive for solving practical problems involving irregular shape particles. It was shown that the number of forcing points had no significant effect on the hydrodynamics parameters. The results showed that the increase of shear-thinning behavior and the number of sides of cross-section shape decrease the accuracy of solutions.