Physics of Fluids

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The distribution of “time of flight” in three dimensional stationary chaotic advection
Physics of Fluids - Tập 27 Số 4 - 2015
Florence Raynal, Philippe Carrière
The distributions of “time of flight” (time spent by a single fluid particle between two crossings of the Poincaré section) are investigated for five different three dimensional stationary chaotic mixers. Above all, we study the large tails of those distributions and show that mainly two types of behaviors are encountered. In the case of slipping walls, as expected, we obtain an exponentia...... hiện toàn bộ
On a three-dimensional implementation of the baker’s transformation
Physics of Fluids - Tập 19 Số 11 - 2007
Philippe Carrière
A three-dimensional, steady flow configuration intended to mimic the baker’s map is studied by means of numerical simulation. The Poincaré sections computed from a finite element solution of the velocity field show that the behavior is dominated by chaotic advection. The value obtained for the Lyapunov exponent is very close to the theoretical value of ln2 predicted by the baker’s map.
Simplified and highly stable thermal Lattice Boltzmann method simulation of hybrid nanofluid thermal convection at high Rayleigh numbers
Physics of Fluids - Tập 32 Số 1 - 2020
Yuan Ma, Jing Wang
A new method called simplified and highly stable thermal lattice Boltzmann method, which is based on the lattice Boltzmann framework, was used to simulate the hybrid nanofluid natural convection and heat transfer in a square enclosure with a heating obstacle at high Rayleigh numbers. Four fins protrude from the heating obstacle to affect the flow pattern and heat transfer performance. The ...... hiện toàn bộ
A simplified axisymmetric lattice Boltzmann method for incompressible swirling and rotating flows
Physics of Fluids - Tập 31 Số 2 - 2019
Zhen Chen, C. Shu, Liangqi Zhang
A simplified axisymmetric lattice Boltzmann method (SALBM) is developed in this paper for effective simulation of incompressible swirling and rotating flows. This model explores an alternative approach of reconstructing an axisymmetric model within the lattice Boltzmann (LB) framework. Essentially, SALBM reconstructs solutions to the macroscopic governing equations recovered from the axisy...... hiện toàn bộ
Numerical investigation of magnetic multiphase flows by the fractional-step-based multiphase lattice Boltzmann method
Physics of Fluids - Tập 32 Số 8 - 2020
Xiang Li, Zhi-Qiang Dong, Peng Yu, Xiaodong Niu, Lian‐Ping Wang, Decai Li, Hiroshi Yamaguchi
In the present study, a fractional-step-based multiphase lattice Boltzmann (LB) method coupled with a solution of a magnetic field evolution is developed to predict the interface behavior in magnetic multiphase flows. The incompressible Navier–Stokes equations are utilized for the flow field, while the Cahn–Hilliard equation is adopted to track the interface, and these governing equations ...... hiện toàn bộ
A consistent hydrodynamic boundary condition for the lattice Boltzmann method
Physics of Fluids - Tập 7 Số 1 - Trang 203-209 - 1995
David R. Noble, Shiyi Chen, John G. Georgiadis, Richard O. Buckius
A hydrodynamic boundary condition is developed to replace the heuristic bounce-back boundary condition used in the majority of lattice Boltzmann simulations. This boundary condition is applied to the two-dimensional, steady flow of an incompressible fluid between two parallel plates. Poiseuille flow with stationary plates, and a constant pressure gradient is simulated to machine accuracy o...... hiện toàn bộ
Flow pattern and heat transfer rate in Rayleigh–Bénard convection
Physics of Fluids - Tập 16 Số 4 - Trang 972-978 - 2004
Tadashi Watanabe
The three-dimensional Rayleigh–Bénard convection is simulated numerically using the lattice Boltzmann method. Flow patterns are observed and the heat transfer rate is estimated in terms of the Nusselt number. The dependence of the Nusselt number on the Rayleigh number is shown to agree well with that obtained by the two-dimensional calculations of the Navier–Stokes equations. It is shown t...... hiện toàn bộ
Lattice Boltzmann methods for modeling microscale flow in fibrous porous media
Physics of Fluids - Tập 9 Số 9 - Trang 2468-2474 - 1997
Michael Spaid, Frederick R. Phelan
A lattice Boltzmann description of fluid flow in heterogeneous porous media is presented which is intended for modeling flow processes which occur in liquid composite molding applications. The lattice Boltzmann method is equivalent to solving a hybrid method of the Stokes and Brinkman equations, with the Brinkman equation being implemented to model flow through porous structures, while the...... hiện toàn bộ
Unified simplified multiphase lattice Boltzmann method for ferrofluid flows and its application
Physics of Fluids - Tập 32 Số 9 - 2020
Qiaozhong Li, Zhiliang Lu, Di Zhou, Xiaodong Niu, Tong‐Qin Guo, Bing‐Chen Du
A unified simplified multiphase lattice Boltzmann method (USMLBM) is constructed in this work for simulating complex multiphase ferrofluid flows with large density and viscosity ratios. In USMLBM, the Navier–Stokes equations, the Poisson equation of the magnetic potential, and the phase-field equation are utilized as the ferrohydrodynamics behavior modeling and interface tracking algorithm...... hiện toàn bộ
Three-dimensional simplified and unconditionally stable lattice Boltzmann method for incompressible isothermal and thermal flows
Physics of Fluids - Tập 29 Số 5 - 2017
Zhen Chen, C. Shu, Danielle Tan
In this paper, a three-dimensional simplified and unconditionally stable lattice Boltzmann method (3D-USLBM) is proposed for simulating incompressible isothermal/thermal flows. This method is developed by reconstructing solutions to the macroscopic governing equations recovered from the lattice Boltzmann equation and resolved in a predictor-corrector scheme. The final formulations of 3D-US...... hiện toàn bộ
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