Simulation of Non-Newtonian Fluid Flows With the Material Point Method

ZHOU Xiaomin; SUN Zheng

doi:10.21656/1000-0887.390349

Volume 40 Issue 10

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ZHOU Xiaomin, SUN Zheng. Simulation of Non-Newtonian Fluid Flows With the Material Point Method[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1135-1146. doi: 10.21656/1000-0887.390349

Citation:

ZHOU Xiaomin, SUN Zheng. Simulation of Non-Newtonian Fluid Flows With the Material Point Method[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1135-1146. doi: 10.21656/1000-0887.390349

Citation:

ZHOU Xiaomin, SUN Zheng. Simulation of Non-Newtonian Fluid Flows With the Material Point Method[J]. Applied Mathematics and Mechanics, 2019, 40(10): 1135-1146. doi: 10.21656/1000-0887.390349

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Simulation of Non-Newtonian Fluid Flows With the Material Point Method

doi: 10.21656/1000-0887.390349

Jiangxi Provincial Key Laboratory of Environmental Geotechnique and Engineering Disaster Control; School of Architectural and Surveying & Mapping Engineering,Jiangxi University of Science and Technology, Ganzhou, Jiangxi 341000, P.R.China

Funds: The National Natural Science Foundation of China(11902127)

Received Date: 2018-12-12
Rev Recd Date: 2019-01-14
Publish Date: 2019-10-01

Abstract

Abstract

Simulation of the non-Newtonian fluid flow is an interesting problem for engineers. As a relatively new particle-based method, the material point method (MPM), combining the advantages of both the Lagrangian algorithm and the Eulerian algorithm, has been widely and effectively used to solve complex engineering problems. The plane Poiseuille flow and Couette flow of the shear thickening and shear thinning cross fluid and power-law fluid were studied with the artificial state equations for the MPM. The results show that, the simulation with the MPM for the Newtonian fluid is in good agreement with the theoretical solution and the MPM simulates the shear thinning and shearing thickening of the non-Newtonian fluid exactly. The results confirm the applicability of the MPM for simulation of the non-Newtonian fluid flow and expand the application field of the MPM.
- material point method,
- non-Newtonian fluid,
- Poiseuille flow,
- Couette flow,
- cross flow,
- power-law flow

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References(25)

References

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