Volume 44 Issue 1
Jan.  2023
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LIU Tangjing, WANG Qikun, ZOU He. Numerical Investigation of Particle Focusing Patterns in Laminar Pipe Flow With High Reynolds Numbers[J]. Applied Mathematics and Mechanics, 2023, 44(1): 70-79. doi: 10.21656/1000-0887.430075
Citation: LIU Tangjing, WANG Qikun, ZOU He. Numerical Investigation of Particle Focusing Patterns in Laminar Pipe Flow With High Reynolds Numbers[J]. Applied Mathematics and Mechanics, 2023, 44(1): 70-79. doi: 10.21656/1000-0887.430075

Numerical Investigation of Particle Focusing Patterns in Laminar Pipe Flow With High Reynolds Numbers

doi: 10.21656/1000-0887.430075
  • Received Date: 2022-03-08
  • Rev Recd Date: 2022-07-11
  • Available Online: 2023-01-03
  • Publish Date: 2023-01-15
  • The inertial focusing characteristics of particles in laminar flow pipes with high Re numbers were studied based on the “relative motion model”. In order to solve the problem of long pipes with high Re number flow, periodic boundary conditions were imposed on the inlet and outlet of the pipe. The research results show that the use of periodic boundary conditions can effectively reduce the computational, and the mechanical properties of particles in high Re flow can be calculated by using L=4D pipe. The difference from the low Re number is that as the Re number continues to increase,the lift force of the particles in the radial direction is no longer distributed as a parabola. The lift curve has a concave area between r+ =0.5 ~ 0.7, and there is a tendency for a new inertial focus point to appear in this section. By means of particles of a+ =1/17 for Re > 1 000, this new focus point position is solvable. In addition, in the analysis of the flow field, a secondary flow occurs around the particle, and its intensity gradually increases with the Re number and the closeness of the particle to the wall. The generation of the secondary flow affects the spatial distribution of the particle lift.

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