### Abstract

Language | English |
---|---|

Pages | 8-14 |

Number of pages | 7 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 391 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 1 Jan 2012 |

### Fingerprint

### Keywords

- lattice Boltzmann model
- analytical solution
- axi-symmetric flow

### Cite this

*Physica A: Statistical Mechanics and its Applications*,

*391*(1-2), 8-14. https://doi.org/10.1016/j.physa.2011.07.038

}

*Physica A: Statistical Mechanics and its Applications*, vol. 391, no. 1-2, pp. 8-14. https://doi.org/10.1016/j.physa.2011.07.038

**Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows.** / An, Hongyan; Zhang, Chuhua; Meng, Jian-Ping; Zhang, Yonghao.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Analytical solution of axi-symmetrical lattice Boltzmann model for cylindrical Couette flows

AU - An, Hongyan

AU - Zhang, Chuhua

AU - Meng, Jian-Ping

AU - Zhang, Yonghao

PY - 2012/1/1

Y1 - 2012/1/1

N2 - Analytical solution for the axi-symmetrical lattice Boltzmann model is obtained for the low-Mach number cylindrical Couette flows. In the hydrodynamic limit, the present solution is in excellent agreement with the result of the Navier-Stokes equation. Since the kinetic boundary condition is used, the present analytical solution using nine discrete velocities can describe flows with the Knudsen number up to 0.1. Meanwhile, the comparison with the simulation data obtained by the direct simulation Monte Carlo method shows that higher-order lattice Boltzmann models with more discrete velocities are needed for highly rarefied flows.

AB - Analytical solution for the axi-symmetrical lattice Boltzmann model is obtained for the low-Mach number cylindrical Couette flows. In the hydrodynamic limit, the present solution is in excellent agreement with the result of the Navier-Stokes equation. Since the kinetic boundary condition is used, the present analytical solution using nine discrete velocities can describe flows with the Knudsen number up to 0.1. Meanwhile, the comparison with the simulation data obtained by the direct simulation Monte Carlo method shows that higher-order lattice Boltzmann models with more discrete velocities are needed for highly rarefied flows.

KW - lattice Boltzmann model

KW - analytical solution

KW - axi-symmetric flow

UR - http://www.scopus.com/inward/record.url?scp=80054033183&partnerID=8YFLogxK

UR - http://www.sciencedirect.com/science/journal/03784371/391/1-2

U2 - 10.1016/j.physa.2011.07.038

DO - 10.1016/j.physa.2011.07.038

M3 - Article

VL - 391

SP - 8

EP - 14

JO - Physica A: Statistical Mechanics and its Applications

T2 - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

IS - 1-2

ER -