Numerical Computation of Pressure Gradient for the Flow of Power-Law Fluid in Annulus with Inner Cylinder Executing a Planetary Motion

Cui, Haiqing; Cai, Meng; Zhang, Shuyun; Xiu, De-yan

doi:10.1016/s1001-6058(08)60202-4

Cited by 4 publications

(4 citation statements)

References 4 publications

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“…The governing equations of power-law fluid in annulus with the inner cylinder executing a planetary motion in bipolar coordinates are given as [4,5,6,7]…”

Section: Govering Equationsmentioning

confidence: 99%

“…Where, ψ is stream function, I is the second invariant of the first-order Rivilin-Ericksen tensor. According to the hypothetical conditions, the boundary conditions of the power-law fluid in annulus with the inner cylinder executing a planetary motion can be expressed as [4,5,6,7] ( , ) 0…”

Section: Govering Equationsmentioning

confidence: 99%

“…Zhang et al [2] provided that the critical value max ,c H of stability parameter of power-law fluid which spiral in circular is 404. Ji et al [3] established analytical expressions of stability parameter H of Newton helical flow between eccentric annulus with the inner and outer cylinder rotating simultaneously, taking water for example, plotted curves of distribution of stability parameter H , and analyzed the influences of the eccentricity, rotate speed of the inner cylinder and outer cylinder on distribution of stability parameter H. Cui et al [4,5,6,7] calculated and analyzed the flow of Power-law fluid in annulus with the inner cylinder executing a planetary motion.…”

Section: Introductionmentioning

confidence: 99%

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Stability Parameter <i>H</i> of the Flow of Power-Law Fluid in Annulus with the Inner Cylinder Executing a Planetary Motion

Zhang

2013

AMM

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The governing equations and mathematical model of the stability parameter H are given in bipolar coordinate system when power law fluid flows in annulus with the inner cylinder executing a planetary motion in this paper. The stability parameter H of power law fluid in both wide clearance and thin clearance in annulus with the inner cylinder executing a planetary motion is numerically calculated by finite difference method, the influences of the revolution velocity, rotation velocity, the eccentric distance and the pressure gradient on the stability parameter are analyzed. The results indicate that the eccentricity and the pressure gradient are main influence factors on it. The critical value of stability parameter for the flow of power-law fluid with the inner cylinder executing a planetary motion is 404 by means of experiment of CMC aqueous solution in annulus with the inner cylinder executing a planetary motion.

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“…The governing equations of power-law fluid in annulus with the inner cylinder executing a planetary motion in bipolar coordinates are given as [4,5,6,7]…”

Section: Govering Equationsmentioning

confidence: 99%

Section: Govering Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Stability Parameter <i>H</i> of the Flow of Power-Law Fluid in Annulus with the Inner Cylinder Executing a Planetary Motion

Zhang

2013

AMM

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“…Long et al (2005) and Demirdal and Cunha (2007) studied the effects of non-Newtonian fl uids and rheological models on annular pressure drop. Singhal et al (2005), Chang et al (2007) and Cui et al (2008) studied the effects of eccentricity on annular pressure drop. Marken et al (1992), Cartalos et al (1996, He (2005) and Ma (2006) studied the effects of eccentricity and drill string rotation on annular pressure drop by experimental models.…”

Section: Introductionmentioning

confidence: 99%

Characteristics of helical flow in slim holes and calculation of hydraulics for ultra-deep wells

Yang²,

Chen

et al. 2010

Pet. Sci.

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Due to the slim hole at the lower part of the ultra-deep and deep wells, the eccentricity and rotation of drill string and drilling fl uid properties have great effects on the annular pressure drop. This leads to the fact that conventional computational models for predicting circulating pressure drop are inapplicable to hydraulics design of deep wells. With the adoption of helical flow theory and H-B rheological model, a computational model of velocity and pressure drop of non-Newtonian fluid flow in the eccentric annulus was established for the cases where the drill string rotates. The effects of eccentricity, rotation of the drill string and the dimensions of annulus on pressure drop in the annulus were analyzed. Drilling hydraulics was given for an ultra-deep well. The results show that the annular pressure drop decreases with an increase in eccentricity and rotary speed, and increases with a decrease in annular fl ow area. There is a great difference between static mud density and equivalent circulating density during deep well drilling.

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Experimental investigation on the water hammer characteristic of stalling fluid in eccentric casing-tubing annulus

Wang

et al. 2022

Energy

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Numerical Computation of Pressure Gradient for the Flow of Power-Law Fluid in Annulus with Inner Cylinder Executing a Planetary Motion

Cited by 4 publications

References 4 publications

Stability Parameter <i>H</i> of the Flow of Power-Law Fluid in Annulus with the Inner Cylinder Executing a Planetary Motion

Stability Parameter <i>H</i> of the Flow of Power-Law Fluid in Annulus with the Inner Cylinder Executing a Planetary Motion

Characteristics of helical flow in slim holes and calculation of hydraulics for ultra-deep wells

Experimental investigation on the water hammer characteristic of stalling fluid in eccentric casing-tubing annulus

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