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Determination of Critical Point of Particle Migration Direction in a Confined Shear Flow of Giesekus Fluids

Zhenna Li, Bingrui Liu and Jianzhong Lin ()
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Zhenna Li: State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China
Bingrui Liu: State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China
Jianzhong Lin: State Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, China

Energies, 2023, vol. 16, issue 7, 1-12

Abstract: Migration of a particle in a confined shear flow of Giesekus fluids is investigated numerically with the method of direct forcing/fictitious domain. We focus on the migration direction for the particle with initial lateral position y 0 and determination of critical point y c of a particle moving towards the center line or wall. The effect of viscosity ratio μ r , shear-thinning parameter α , Weissenberg number Wi, and blocking rate β on the value y c is analyzed. The results showed that when μ r ≤ 0.5, the particle will migrate towards the wall regardless of the value of y 0 . When μ r > 0.5, y c increases with increasing μ r , and some particles will migrate towards the center line with the increase in μ r . The particle is more likely to migrate towards the center line at small values of Wi and α but at large values of μ r . The impact of Wi and β on the particle migration direction is more obvious. The particle will migrate towards the wall for β = 0.3 and is more likely to migrate towards the wall with increasing β . α and Wi have little influence on the pressure distribution in the case of the same β and μ r . The particle near the wall will migrate faster because large positive pressure and negative pressure appear around the particle.

Keywords: spherical particle; Giesekus fluid; shear flow; migration direction; critical point; numerical simulation (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2023
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