2012
DOI: 10.1016/j.jnnfm.2012.04.007
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Flow of a Bingham-like fluid in a finite channel of varying width: A two-scale approach

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Cited by 21 publications
(24 citation statements)
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“…The first and the second of Eqs. (19) can then be integrated over z to obtain the following relations: Relations (20) show that the viscous stress τ m is linear with respect to the z-coordinate in a pressure-driven channel flow. The coordinate z y < w/2, where the equality of the yield stress τ y with the viscous stress τ m is satisfied, determines the plastic region |z| < z y , where the fluid moves as a solid body (e i j = 0): z y = Bn τ y /|∇p|.…”
Section: Lubrication Approximationmentioning
confidence: 99%
See 1 more Smart Citation
“…The first and the second of Eqs. (19) can then be integrated over z to obtain the following relations: Relations (20) show that the viscous stress τ m is linear with respect to the z-coordinate in a pressure-driven channel flow. The coordinate z y < w/2, where the equality of the yield stress τ y with the viscous stress τ m is satisfied, determines the plastic region |z| < z y , where the fluid moves as a solid body (e i j = 0): z y = Bn τ y /|∇p|.…”
Section: Lubrication Approximationmentioning
confidence: 99%
“…In application to fracturing flows, the solution obtained in [18] describes the flow pattern in the horizontal section of a vertical fracture. In [20], the lubrication approximation was used to develop a generalized model for the 2D channel flow of a Bingham-like medium, which behaves as a linear elastic solid below the yield threshold.…”
Section: Introductionmentioning
confidence: 99%
“…The use of tailings for cemented filling can efficiently utilize all mine tailings, and reduce environmental pollution and cost of filling the mine [1]. The tailings are not required to be graded, so the filling will have good conveying performance and high filling efficiency [2,3]. However, at low solids concentration high bleed water seepage rate will occur when the self-flowing tailings filling slurry is deposited underground [4].…”
Section: Introductionmentioning
confidence: 99%
“…The use of tailings for cemented filling can efficiently utilize all mine tailings and reduce environmental pollution and the cost of mine filling (Zhai et al, 2011). As grading is not required for tailings, the filling paste will have good conveying performance and high filling efficiency (Zhang et al, 2011;Fusi et al, 2012). However, at low solids concentration, high bleed water seepage rates will occur when the self-flowing tailings filling paste is deposited underground (Yong et al, 2011).…”
Section: Introductionmentioning
confidence: 99%