Viscoelasticity of biomolecular condensates conforms to the Jeffreys model

Huan-Xiang Zhou

doi:10.1063/5.0038916

Numerical and Analytical Treatments of Peristaltic Transport of a Six Constant Jeffreys Model of Fluid in a Symmetric or Asymmetric Channel

International Journal of Fluid Mechanics Research ◽

10.1615/interjfluidmechres.v39.i3.30 ◽

2012 ◽

Vol 39 (3) ◽

pp. 238-260 ◽

Cited By ~ 3

Author(s):

Sohail Nadeem ◽

Safia Akram

Keyword(s):

Peristaltic Transport ◽

Asymmetric Channel ◽

Jeffreys Model

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Shear modulus analysis of a modied Jeffreys model

10.20906/cps/cilamce2017-0002 ◽

2017 ◽

Author(s):

Thales Augusto Barbosa Pinto Silva ◽

Hilbeth Parente Azikri de Deus

Keyword(s):

Shear Modulus ◽

Modulus Analysis ◽

Jeffreys Model

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An analysis on the shear modulus of the modified Jeffreys model

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.10.029 ◽

2019 ◽

Vol 346 ◽

pp. 649-665

Author(s):

Hilbeth P. Azikri de Deus ◽

Thales A. Barbosa Pinto Silva ◽

Mikhail Itskov

Keyword(s):

Shear Modulus ◽

Jeffreys Model

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Modeling the initial mechanical response and yielding behavior of gelled crude oil

Open Physics ◽

10.1515/phys-2018-0041 ◽

2018 ◽

Vol 16 (1) ◽

pp. 292-301 ◽

Cited By ~ 1

Author(s):

Chen Lei ◽

Liu Gang ◽

Lu Xingguo ◽

Xu Minghai ◽

Tang Yuannan

Keyword(s):

Shear Stress ◽

Constitutive Equation ◽

Crude Oil ◽

Shear Strain ◽

Mechanical Response ◽

Shear Rates ◽

Mechanical Analog ◽

Constant Shear ◽

Jeffreys Model ◽

Yielding Behavior

Abstract The initial mechanical response and yielding behavior of gelled crude oil under constant shear rate conditions were investigated. By putting the Maxwell mechanical analog and a special dashpot in parallel, a quasi-Jeffreys model was obtained. The kinetic equation of the structural parameter in the Houska model was simplified reasonably so that a simplified constitutive equation of the special dashpot was expressed. By introducing a damage factor into the constitutive equation of the special dashpot and the Maxwell mechanical analog, we established a constitutive equation of the quasi-Jeffreys model. Rheological tests of gelled crude oil were conducted by imposing constant shear rates and the relationship between the shear stress and shear strain under different shear rates was plotted. It is found that the constitutive equation can fit the experimental data well under a wide range of shear rates. Based on the fitted parameters in the quasi-Jeffreys model, the shear stress changing rules of the Maxwell mechanical analog and the special dashpot were calculated and analyzed. It is found that the critical yield strain and the corresponding shear strain where shear stress of the Maxwell analog is the maximum change slightly under different shear rates. And then a critical damage softening strain which is irrelevant to the shearing conditions was put forward to describe the yielding behavior of gelled crude oil.

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Study on the constitutive equation with fractional derivative for the viscoelastic fluids - Modified Jeffreys model and its application

Rheologica Acta ◽

10.1007/s003970050138 ◽

1998 ◽

Vol 37 (5) ◽

pp. 512-517 ◽

Cited By ~ 107

Author(s):

D. Y. Song ◽

Ti Qian Jiang

Keyword(s):

Constitutive Equation ◽

Fractional Derivative ◽

Viscoelastic Fluids ◽

Jeffreys Model

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Convection in a viscoelastic fluid-saturated sparsely packed porous layer

Canadian Journal of Physics ◽

10.1139/p90-207 ◽

1990 ◽

Vol 68 (12) ◽

pp. 1446-1453 ◽

Cited By ~ 18

Author(s):

N. Rudraiah ◽

P. V. Radhadevi ◽

P. N. Kaloni

Keyword(s):

Rayleigh Number ◽

Porous Layer ◽

Viscoelastic Fluid ◽

Critical Rayleigh Number ◽

Maxwell Fluid ◽

Wave Number ◽

Jeffrey Fluid ◽

Oscillatory Convection ◽

Viscoelastic Parameters ◽

Jeffreys Model

The linear stability of a viscoelastic fluid-saturated sparsely packed porous layer heated from below is studied analytically using the Darcy–Brinkman–Jeffreys model with different boundary combinations. The Galerkin technique is employed to determine the criterion for the onset of oscillatory convection. The effects of the viscoelastic parameters, the Prandtl number, and the porous parameter on the critical Rayleigh number, the wave number, and the frequency are analyzed. The results are compared with those obtained for both a Darcy–Jeffrey fluid and a Maxwell fluid. It is shown that under certain conditions for the viscoelastic parameters, the flow is overstable. The possibility of the occurrence of bifurcation is also discussed.

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