1998
DOI: 10.1115/1.2795036
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Analysis of Yield-Power-Law Fluid Flow in Irregular Eccentric Annuli

Abstract: Fully developed laminar axial flow of yield-power-law fluids in eccentric annuli has been investigated numerically. The annuli may be fully open or partially blocked. General nonorthogonal, boundary-fitted curvilinear coordinates have been used to accurately model the irregular annular geometry due to the presence of a flow blockage. A computer code has been developed using a second-order finite-difference scheme. An exponential model for the shear stress, valid for both yielded and un-yielded regions of the f… Show more

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Cited by 22 publications
(6 citation statements)
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“…Overcoming these setbacks, Mitsoulis et al proposed a new HB stress function based on Papanastasiou idea on Bingham type materials for a large but finite apparent viscosity value at vanishing shear rate as trueτtrue‾=K|γ˙|n1+τ01exp(m|γ˙|)|γ˙|trueγ˙true‾, where the regularization parameter m is a large number to guarantee large apparent viscosity at vanishing rate‐of‐strain at a value of mτ0+K|γ˙|(n1)). This model has been implemented in various numerical modelling for HB fluids …”
Section: Introductionmentioning
confidence: 99%
“…Overcoming these setbacks, Mitsoulis et al proposed a new HB stress function based on Papanastasiou idea on Bingham type materials for a large but finite apparent viscosity value at vanishing shear rate as trueτtrue‾=K|γ˙|n1+τ01exp(m|γ˙|)|γ˙|trueγ˙true‾, where the regularization parameter m is a large number to guarantee large apparent viscosity at vanishing rate‐of‐strain at a value of mτ0+K|γ˙|(n1)). This model has been implemented in various numerical modelling for HB fluids …”
Section: Introductionmentioning
confidence: 99%
“…The flow stagnation problem is directly associated with high eccentricity in highly deviated wells and typically occurs in the small gap width between the coiled tubing and the casing (Figures 1 and 2). This phenomenon has been thoroughly explained by several researchers, including Haciislamoglu and Langlinais (1990), Chin (1992), Azouz et al (1993), Hussain and Sharif (1998), Escudier et al (2002), Ogugbue and Shah (2011), and Asafa and Shah (2012). Without agitation induced by pipe rotation, pipe reciprocation, and turbulent flow, solid beds continually build up along the wellbore.…”
Section: Introductionmentioning
confidence: 88%
“…Similar behavior was observed for nonrotating inner cylinder in an earlier Ž . work of Hussain and Sharif 1998 . The presence of a secondary flow in the wider part of the eccentric annulus is evident from the streamline plots using the u and ® velocity components only.…”
Section: Eccentric Annulusmentioning
confidence: 97%