Low Reynolds number turbulence in nonlinear Maxwell-model fluids

被引：9

作者：

Goddard, Chris ^{[1
,2
]}

Hess, Ortwin ^{[1
,2
]}

Hess, Siegfried ^{[3
]}

机构：

[1] Univ Surrey, Adv Technol Inst, Guildford GU2 7XH, Surrey, England

[2] Univ Surrey, Dept Phys, Fac Engn & Phys Sci, Guildford GU2 7XH, Surrey, England

[3] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany

来源：

PHYSICAL REVIEW E | 2010年 / 81卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

NONEQUILIBRIUM ALIGNMENT PHENOMENA; FLOW-ALIGNMENT; IRREVERSIBLE THERMODYNAMICS; CONSTITUTIVE-EQUATIONS; ELASTIC TURBULENCE; MOLECULAR LIQUIDS; POLYMER-SOLUTIONS; COUETTE-FLOW; CONTINUUM; DYNAMICS;

D O I：

10.1103/PhysRevE.81.036310

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

A generalized nonlinear Maxwell model which had previously been analyzed for plane Couette geometry is here applied to a lid-driven cavity flow. The full three-dimensional hydrodynamical problem is treated numerically. Depending on the relevant model parameters, both smooth laminar and low Reynolds number turbulent flows are found, strikingly similar to the experimentally observed elastic turbulence phenomena in polymer solutions. Representative results of the calculated flow patterns, as well as measures for the turbulent nature of the flow are presented graphically.

引用

页数：10

共 60 条

[1]

ADAMS JM, 2007, EUROMECH C, V492, P90201

[2] The numerical prediction of planar viscoelastic contraction flows using the pom-pom model and higher-order finite volume schemes [J].

Aguayo, J. P. ;

Phillips, P. M. ;

Phillips, T. N. ;

Tamaddon-Jahromi, H. R. ;

Snigerev, B. A. ;

Webster, M. F. .

JOURNAL OF COMPUTATIONAL PHYSICS, 2007, 220 (02) :586-611

[3] Minimal model for chaotic shear banding in shear thickening fluids [J].

Aradian, A ;

Cates, ME .

PHYSICAL REVIEW E, 2006, 73 (04)

[4] Turbulent dynamics of polymer solutions [J].

Balkovsky, E ;

Fouxon, A ;

Lebedev, V .

PHYSICAL REVIEW LETTERS, 2000, 84 (20) :4765-4768

[5] Two-dimensional elastic turbulence [J].

Berti, S. ;

Bistagnino, A. ;

Boffetta, G. ;

Celani, A. ;

Musacchio, S. .

PHYSICAL REVIEW E, 2008, 77 (05)

[6] Two-dimensional turbulence of dilute polymer solutions [J].

Boffetta, G ;

Celani, A ;

Musacchio, S .

PHYSICAL REVIEW LETTERS, 2003, 91 (03)

[7] Unified description of the flow alignment and viscosity in the isotropic and nematic phases of liquid crystals [J].

Borgmeyer, CP ;

Hess, S .

JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS, 1995, 20 (04) :359-384

[8] Chaotic flow and efficient mixing in a microchannel with a polymer solution [J].

Burghelea, Teodor ;

Segre, Enrico ;

Bar-Joseph, Israel ;

Groisman, Alex ;

Steinberg, Victor .

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2004, 69 (6 2) :066305-1

[9] Role of elastic stress in statistical and scaling properties of elastic turbulence [J].

Burghelea, Teodor ;

Segre, Enrico ;

Steinberg, Victor .

PHYSICAL REVIEW LETTERS, 2006, 96 (21)

[10]

Cebeci T., 2004, Analysis of Turbulent Flows

← 1 2 3 4 5 6 →