Numerical Simulation of Transient Non-Isothermal Viscoelastic Couette Flows Based on the SPH Method

XU Xiaoyang; ZHAO Yuting

doi:10.21656/1000-0887.430318

Volume 44 Issue 6

Jun. 2023

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XU Xiaoyang, ZHAO Yuting. Numerical Simulation of Transient Non-Isothermal Viscoelastic Couette Flows Based on the SPH Method[J]. Applied Mathematics and Mechanics, 2023, 44(6): 654-665. doi: 10.21656/1000-0887.430318

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Numerical Simulation of Transient Non-Isothermal Viscoelastic Couette Flows Based on the SPH Method

doi: 10.21656/1000-0887.430318

XU Xiaoyang^,,
ZHAO Yuting

School of Computer Science and Technology, Xi'an University of Science and Technology, Xi'an 710054, P.R.China

Received Date: 2022-10-11
Rev Recd Date: 2023-01-09
Publish Date: 2023-06-01

Abstract

Abstract

Based on the smoothed particle hydrodynamics (SPH) method, the transient non-isothermal viscoelastic flows were numerically simulated. First, the viscoelastic Couette flow based on the Oldroyd-B model under isothermal condition was simulated. Then, the simulation was extended to the non-isothermal case, in which the Reynolds exponential model was adopted to evaluate the dependence of the viscosity and the relaxation time on the temperature. The accuracy and effectiveness of the SPH method for simulating transient non-isothermal viscoelastic flows were verified through comparison with the finite volume method and evaluation of numerical convergence. The different flow characteristics of the non-isothermal flow compared with those of the isothermal flow were discussed. The effects of the temperature dependence coefficient and the Péclet number on the flow physics were analyzed. The numerical results demonstrate that, the SPH method can accurately and effectively simulate transient non-isothermal viscoelastic flow problems.
- smoothed particle hydrodynamics,
- non-isothermal,
- viscoelastic,
- Oldroyd-B model,
- Couette flow

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References(28)

References

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