Effect of Coriolis force on the thermosolutal convection threshold in a rotating annular Hele-Shaw cell

Souhar, Khalid; Aniss, Saı̈d

doi:10.1007/s00231-011-0849-x

Cited by 16 publications

(4 citation statements)

References 17 publications

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“…The equilibrium height, known as Jurin's height, is usually used for the measurement of surface tension. It is obtained from (12) as…”

Section: Capillary Risementioning

confidence: 99%

“…Numerous research has been done on the flow between two vertical plates (see for example [8][9][10][11][12]) and on the capillary rise in tubes. The bulk of research on capillary rise has been related to circular Disclaimer/Publisher's Note: The statements, opinions, and data contained in all publications are solely those of the individual author(s) and contributor(s) and not of MDPI and/or the editor(s).…”

Section: Introductionmentioning

confidence: 99%

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Oscillation of a Liquid Column in an Eccentric Annulus

Alassar

2024

Preprint

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“…The equilibrium height, known as Jurin's height, is usually used for the measurement of surface tension. It is obtained from (12) as…”

Section: Capillary Risementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Oscillation of a Liquid Column in an Eccentric Annulus

Alassar

2024

Preprint

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“…The construction of these wells makes casing eccentricity more complicated. 4,5 The casing eccentricity causes many bed effects, such as influence on interface stability and efficiency of displacement fluid, influence on the measurement result of sonic logging instrument and reducing the wellbore integrity safety, casing collapse strength, and casing–cement bond surface strength. And, the final one is the biggest impact on the production process of the wellbore among these impacts.…”

Section: Introductionmentioning

confidence: 99%

A cohesive-element-based model to evaluate interfacial behavior of casing–cement sheath for high-pressure, high-temperature wellbore integrity considering casing eccentricity

Zhao

Yang

Lin

et al. 2020

Advances in Mechanical Engineering

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In this article, the finite element model considering the casing eccentricity of high-pressure, high-temperature wellbore integrity is established, where the cohesive zone element is introduced to evaluate the mechanical behavior of the casing–cement sheath interface. In this analysis, the bilinear traction–separation law is used to estimate the interfacial failure, and a damage factor is simultaneously defined to describe the damage evolution of the cohesive element. In addition, to achieve the interfacial separation, the pressure fluctuation inside the casing is applied. Using the finite element approach, we investigate the effect of mechanical parameters including Young’s modulus, Poisson’s ratio, thermal conductivity of the cement sheath, and pressure fluctuation inside the casing on the interfacial failure of the casing–cement sheath. The simulation results show that the damage factor increases with the increase in the mechanical parameters including Young’s modulus and Poisson’s ratio of the cement sheath and the casing pressure fluctuation. We also observe that the maximum damage factor under higher thermal conductivity is higher than that under lower thermal conductivity for the casing concentricity, while it is lower than that under lower thermal conductivity for the casing eccentricity. This indicates that the casing eccentricity has an important impact on the damage factor. What’s more, the casing eccentricity can change the location where the maximum damage factor occurs.

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“…Hele-Shaw model is now being used to study twodimensional flow characteristic in two infinite plates of very short distance (Souhar and Aniss, 2012), which have been put into application in the field of porous media flow (Daripa and Pasa, 2007;Trevelyan et al, 2011) and injection molding (Cao and Shen, 2004). In a typical well annulus, a fact that axial length-scale is so much greater than the annular circumference and annular circumference is much greater than annular gap (Pelipenko and Frigaard, 2004), is usually satisfied, which guarantees the eccentric annulus geometry to be mapped to the Hele-Shaw cell geometry.…”

Section: Introductionmentioning

confidence: 99%

Study on Flow Characteristic of Non-Newtonian fluid in Eccentric Annulus

Li¹,

Wang²,

Wang³

et al. 2013

RJASET

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This study studied the flow characteristic of non-newtonian in eccentric annulus of highly-deviated well. On the basis of dimensionless analysis of motion equations and continuity equation, Hele-Shaw model suitable for fluid flow in the annulus was derived. Combined with H-B rheological model, velocity and stream distribution model were founded and calculated by numerical method. Furthermore, two-dimensional flow characteristic in eccentric annulus was got and the influence of different factors (such as yield stress, pressure gradient or eccentricity) on velocity distribution in condition of laminar flow was analyzed. Width of flow core in the annular is proportional to yield stress and inversely proportional to pressure gradient. In eccentric annulus, eccentricity influences the stream distribution remarkably: with the increment of eccentricity, the contour lines of stream function gradually centralize in the widest annular gap, however distribute the most loosely in the narrowest annular gap. Axial velocity is the largest in the widest gap. The larger eccentricity is, the larger contrast of axial velocity between in the widest gap and in the narrowest gap is. There is the largest azimuthal velocity in an annular gap of a certain azimuthal angle, however which equals to zero in the widest and narrowest annular gap separately. The larger eccentricity is, the more homogeneous azimuthal velocity is. The velocity contrast in the entire annulus can be smoothed by increasing pressure gradient, power law index or decreasing yield stress.

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Effect of Coriolis force on the thermosolutal convection threshold in a rotating annular Hele-Shaw cell

Cited by 16 publications

References 17 publications

Oscillation of a Liquid Column in an Eccentric Annulus

Oscillation of a Liquid Column in an Eccentric Annulus

A cohesive-element-based model to evaluate interfacial behavior of casing–cement sheath for high-pressure, high-temperature wellbore integrity considering casing eccentricity

Study on Flow Characteristic of Non-Newtonian fluid in Eccentric Annulus

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