Simulation of non-Newtonian (Power-law) fluid flow past a row of square cylinders

被引：0
作者：
ZhiQiang Zhou
Jie Peng
机构：
[1] Tsinghua University,Department of Engineering Mechanics
来源：
Science China Physics, Mechanics and Astronomy | 2011年 / 54卷
关键词：
power-law fluid; pitchfork bifurcation; Lattice Boltzmann method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The power-law fluid flow past a row of uniform placed square cylinders is investigated using the Lattice Boltzmann method (LBM). The flow is assumed to be two-dimensional and incompressible. The relaxation time τ is assumed to be shear-dependent and determined by using a variable parameter related to the local shear rate. The effects of both shear-thinning/ shear-thickening property and the cylinder spacing on the confluence of the jets are mainly concerned. The bifurcation diagrams of the flow are obtained, which include confluences of double and quadruple jets. The results show that both the first and second pitchfork bifurcations are advanced due to the effect of the shear-thinning property, and postponed due to the shear-thickening property.
引用
收藏
页码：703 / 710
页数：7
相关论文
共 44 条
[1]  
Mizushima J.(1996)Stability of the flow past a row of square bars J Phys Soc Jpn 65 1673-1685
[2]  
Takemoto Y.(2010)Laminar flow of power-law fluids past a rotating cylinder J Non-Newtonian Fluid Mech 165 1442-1461
[3]  
Panda S. K.(2000)Transitions of flow past a row of square bars J Fluid Mech 405 305-323
[4]  
Chhabra R. P.(2008)Simulation of flow around a row of square cylinders J Fluid Mech 606 369-397
[5]  
Mizushima J.(1992)Recovery of the Navier-Stokes equations using a lattice-gas Boltzmann method Phys Rev A 45 5339-5342
[6]  
Kawaguchi Y.(1992)Lattice BGK models for Navier-Stokes equation Europhys Lett 17 479-484
[7]  
Kumar S. R.(1998)Use of the Boltzmann equation to simulate lattice-gas automata Phys Rev Lett 61 2332-2335
[8]  
Sharma A.(1992)The lattice Boltzmann equation: Theory and applications Phys Rep 222 145-197
[9]  
Agrawal A.(1998)Lattice Boltzmann method for fluid flows Annu Rev Fluid Mech 30 329-364
[10]  
Chen H.(2006)Lattice Boltzmann methods for viscous fluid flows and for two-phase fluid flows Fluid Dyn Res 38 641-659
12345