Taylor-Couette Instability of Giesekus Fluids: Inertia Effects

Pourjafar, M.; Sadeghy, Kayvan

doi:10.1678/rheology.40.195

Cited by 4 publications

(7 citation statements)

References 27 publications

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“…In fact, the role played by the mobility factor on the rheological behavior of the Giesekus model is very similar to the role played by the extensional parameter in the LPTT model. In our previous work [14] we have already studies Taylor-Couette instability of the Giesekus fluid. Here, we just compare the two models for the case of  = 0.883, and  = 0.…”

Section: Figurementioning

confidence: 99%

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Effect of non-affine motion on the centrifugal instability of circular Couette flow

Jazmi

Sadeghy

2016

Journal of Non-Newtonian Fluid Mechanics

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In the present work, the effect of non-affine motion of the constituents in a complex fluid system (say, a polymeric liquid) is theoretically investigated on the centrifugal instability of circular Couette flow. To achieve this goal, use was made of the linearized Phan-Thien/Tanner (LPTT) model thanks to its allowing non-affine deformation for the polymer strands in a temporary network of junctions through invoking a slip parameter. Knowing the basic-flow velocity and stress fields from the literature, they were subjected to infinitesimally-small, normal-mode perturbations and their time-evolution was monitored using a linear stability analysis for both the axisymmetric and non-axisymmetric modes. An eigenvalue problem was obtained this way which was solved numerically using the pseudo-spectral, Chebyshev-based, collocation method. Based on the results obtained in this work, it is concluded that the non-affine motion can have a stabilizing or destabilizing effect on circular Couette flow depending on the Weissenberg number and the sign/magnitude of the angular velocity ratio.

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Section: Figurementioning

confidence: 99%

“…5] thus it is expected to affect the critical Weissenberg numbers. To the best of our knowledge, however, the effect of non-affine motion has not previously been investigated on the instability picture of circular Couette flow [6][7][8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Effect of non-affine motion on the centrifugal instability of circular Couette flow

Jazmi

Sadeghy

2016

Journal of Non-Newtonian Fluid Mechanics

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“…Through such studies the effects of parameters such as gap size, cylinders' eccentricity, radial flow, axial flow, external magnetic field, and also the fluid's compressibility have all been investigated in the past on the critical Reynolds number [5][6][7][8]. There are also several works addressing the effects of a fluid's non-Newtonian behavior on the Taylor-Couette flow [9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

“…This is perhaps why the literature is so rich when it comes to the TaylorCouette flow of different kinds of non-Newtonian fluids. Through such studies, the effect of a fluid's yield stress, elasticity, and shear-thinning have already been investigated on the critical Taylor number in previous studies [9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

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Taylor–Couette instability of thixotropic fluids

2015

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Taylor-Couette instability of thixotropic fluids obeying Moore model is numerically investigated for the case in which the inner cylinder is rotating and the outer cylinder is fixed. A linear temporal stability analysis is invoked in which infinitesimally-small perturbations, represented by normal modes, are superimposed to the base flow and their time evolution is followed in order to detect the onset of instability. An eigenvalue problem is obtained which is solved numerically using finitedifference scheme coupled with the ''polyeig'' function of the Matlab software. The neutral instability curve is plotted as a function of the thixotropic parameters of the Moore model for a broad range of parameters. Based on the results obtained in this work, it is concluded that the viscosity ratio in the Moore model has a destabilizing effect on circular Couette flow. On the other hand, an increase in the breakdown-to-buildup ratio in the Moore model is predicted to have a stabilizing or destabilizing effect on circular Couette flow depending on the gap size and also the magnitude of the thixotropy ratio.

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On the use of a fluid’s elasticity for deliberate rise of Taylor cells in a rotating micro-filter separator

et al. 2018

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The effect of radial throughflow on the instability of circular Couette flow is numerically studied for a viscoelastic fluid obeying the Giesekus model. An exact solution has been obtained for the base flow using the perturbation method with the cross-flow Reynolds number serving as the small parameter. The stability of the base flow to infinitesimally small, normal-mode, axisymmetric perturbations is studied using the linear temporal stability theory. An eigenvalue problem is obtained which is solved numerically using the pseudo-spectral, Chebyshev-based collocation method. The numerical results show that for small cross-flow Reynolds numbers, there exists a critical Weissenberg number at which the flow is at its most stable state. For sufficiently large cross-flow Reynolds numbers, however, it is predicted that the flow becomes monotonically less stable when the Weissenberg number is increased. These results suggest that elasticity can be used as an efficient means for the deliberate rise of Taylor cells in rotating micro-filter separators for self-cleaning purposes of the clogged pores.

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Taylor-Couette Instability of Giesekus Fluids: Inertia Effects

Cited by 4 publications

References 27 publications

Effect of non-affine motion on the centrifugal instability of circular Couette flow

Effect of non-affine motion on the centrifugal instability of circular Couette flow

Taylor–Couette instability of thixotropic fluids

On the use of a fluid’s elasticity for deliberate rise of Taylor cells in a rotating micro-filter separator

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