Taylor-Couette Instabilities in Flows of Newtonian and Power-Law Liquids in the Presence of Partial Annulus Obstruction

Loureiro, Bruno Venturini; Mendes, Paulo R. de Souza; Azevedo, Luis Fernando Alzuguir

doi:10.1115/1.2136930

Cited by 7 publications

(3 citation statements)

References 15 publications

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“…Furthermore, due to gravity there will be a strong tendency for the cuttings to accumulate in this region, forming a bed of settled cuttings or a partial obstruction of the annular space between the drill string and the formation . Solids accumulating in this region hinder and can even interrupt the drilling process . To suppress the accumulation of more solids, knowledge of the flow patterns in eccentric and partially‐obstructed annuli is essential for the design and operation of these wells.…”

Section: Introductionmentioning

confidence: 99%

Fluid dynamics study of the flow and pressure drop analysis of a non‐Newtonian fluid through annular ducts with unusual cross‐sections

et al. 2016

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This paper concerns an experimental and computational study of the laminar flow developed by a pseudoplastic fluid through a partially-obstructed annulus, considering the effects of eccentricity and inner cylinder rotation. For the eccentric cases the eccentric rotation of the inner tube is applied, which is a novelty in the literature. Pressure drop experimental data are reported for flows of 3 and 9 m 3 /h of a 1 mg/g xanthan gum aqueous solution through a concentric and a 46 % eccentric annulus with partial obstruction of 6 mm, for cases with and without rotation of the inner cylinder (0 and 400 rpm). Numerical simulations were performed using computational fluid dynamics (CFD) techniques which allowed for reporting of axial velocity profiles, apparent viscosity distribution, and pressure drops for a range of eccentricity values (0, 23, and 46 %) and obstruction heights (0, 6, and 12 mm), which were systematically compared for cases with and without rotation of the inner tube (0 and 400 rpm). Comparisons between numerical calculations and the flow data indicated, in general, very close agreement. Eccentric rotation of the inner cylinder presented a distortion effect on the axial velocity and apparent viscosity profiles for the high eccentricity case (46 %) with high obstruction (12 mm), where two maxima regions were observed, one of them near the inner cylinder.

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Section: Introductionmentioning

confidence: 99%

Fluid dynamics study of the flow and pressure drop analysis of a non‐Newtonian fluid through annular ducts with unusual cross‐sections

et al. 2016

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“…The second effect concerns the effects on cuttings transport (see e.g. Lockett, Richardson & Worraker 1993;Loureiro, Souza Mendes & Azevedo 2006). Attempts to study the onset of Taylor vortices in the oilfield context, for inelastic shear-thinning fluids, have been made by Lockett et al (1992) and Coronado-Matutti, Souza Mendes & Carvalho (2004).…”

Section: Introductionmentioning

confidence: 99%

Stability and instability of Taylor–Couette flows of a Bingham fluid

2006

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We consider in detail the Taylor–Couette problem for a Bingham fluid, presenting a range of analytical and computational results. First, for co-rotating cylinders it is known that the critical inner cylinder Reynolds number $\hbox{\it Re}_{1,c}$, does not increase monotonically with the Bingham number $B$, over a range of small to moderate $B$. It is the only situation that we know of where a yield stress fluid flow is less stable that the corresponding Newtonian fluid flow. This effect was discovered independently by Landry (2003, MSc thesis) and Peng & Zhu (J. Fluid Mech. vol. 512, 2004, p. 21), but the mechanism has not been explained. Here we show that the decrease in critical Reynolds number is due to an increase (at small $B$) in the rate of strain of the basic flow, which amplifies the transfer of energy from the basic flow to the perturbation, via the inertial terms in the energy equation. At larger $B$, the yielded region contracts and the inertial energy transfer is bounded by the yield stress dissipation.We next consider the effects of large $B$. For fixed radius and Reynolds number ratios, we show that for sufficiently large $B$ all basic flows have an unyielded fluid layer attached to the outer wall. For these flows we show that there is a similarity mapping that maps both the basic solution and the linear stability problem onto the stability problem for an outer cylinder of radius equal to the yield surface radius. The Reynolds and Bingham numbers of the transformed problems are smaller than that of the original problem, as is the wavenumber $k$. As $B \,{\to}\, \infty$, the yield surface approaches the inner cylinder, defining a narrow gap limiting problem that differs from the classical narrow gap limit. Via the transformed problem we derive an energy estimate for stability: $\hbox{\it Re}_{1,c} k_c \,{\sim}\, B^{1.5}$ as $B \,{\to}\, \infty$, which compares well with our computed results for a stationary outer cylinder: $\hbox{\it Re}_{1,c} \,{\sim}\, B^{1.25}$ and $k_c \,{\sim}\, B^{0.375}$. We also show how $\hbox{\it Re}_{1,c} \,{\sim}\, B^{1.25}$ can be deduced from a simple order of magnitude analysis, for a stationary outer cylinder. Finally, we consider the second (classical) narrow gap limit in which the radius ratio $\eta$, approaches unity, for fixed $B$ and Reynolds number ratio. We show that $\hbox{\it Re}_{1,c} \,{\gtrsim}\, (k^2[1 + O(B)] + \pi^2)/(1-\eta)^{1/2}$ in this limit.

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“…Loureiro et al [131], carried out both numerical and experimental studies to understand the Taylor-Couette instabilities in flows involving Newtonian fluids as well as powerlaw fluids. The flow inside a horizontal annulus due to the inner cylinder rotation was studied.…”

Section: Effect Of Internals On the Flow Fieldmentioning

confidence: 99%

CFD Simulation of Annular Centrifugal Extractors

Vedantam

Wardle

Tamhane

et al. 2012

International Journal of Chemical Engineering

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Annular centrifugal extractors (ACE), also called annular centrifugal contactors offer several advantages over the other conventional process equipment such as low hold-up, high process throughput, low residence time, low solvent inventory and high turn down ratio. The equipment provides a very high value of mass transfer coefficient and interfacial area in the annular zone because of the high level of power consumption per unit volume and separation inside the rotor due to the high g of centrifugal field. For the development of rational and reliable design procedures, it is important to understand the flow patterns in the mixer and settler zones. Computational Fluid Dynamics (CFD) has played a major role in the constant evolution and improvements of this device. During the past thirty years, a large number of investigators have undertaken CFD simulations. All these publications have been carefully and critically analyzed and a coherent picture of the present status has been presented in this review paper. Initially, review of the single phase studies in the annular region has been presented, followed by the separator region. In continuation, the two-phase CFD simulations involving liquid-liquid and gas-liquid flow in the annular as well as separator regions have been reviewed. Suggestions have been made for the future work for bridging the existing knowledge gaps. In particular, emphasis has been given to the application of CFD simulations for the design of this equipment.

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Taylor-Couette Instabilities in Flows of Newtonian and Power-Law Liquids in the Presence of Partial Annulus Obstruction

Cited by 7 publications

References 15 publications

Fluid dynamics study of the flow and pressure drop analysis of a non‐Newtonian fluid through annular ducts with unusual cross‐sections

Fluid dynamics study of the flow and pressure drop analysis of a non‐Newtonian fluid through annular ducts with unusual cross‐sections

Stability and instability of Taylor–Couette flows of a Bingham fluid

CFD Simulation of Annular Centrifugal Extractors

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