2013
DOI: 10.1017/jfm.2012.547
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Flows in annuli with longitudinal grooves

Abstract: Analysis of pressure losses in laminar flows through annuli fitted with longitudinal grooves has been carried out. The additional pressure gradient required in order to maintain the same flow rate in the grooved annuli, as well as in the reference smooth annuli, is used as a measure of the loss. The groove-induced changes can be represented as a superposition of a pressure drop due to a change in the average position of the bounding cylinders and a pressure drop due to flow modulations induced by the shape of … Show more

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Cited by 36 publications
(21 citation statements)
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“…Equations (3.5), (3.6a), (3.7a), (3.10) and (3.11) represent an alternative problem formulation. This particular formulation is better suited for the theoretical analysis while (3.5)-(3.8) is better suited for the numerical solution [20].…”
Section: Field Equations Suitable For the Numerical Solutionmentioning
confidence: 99%
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“…Equations (3.5), (3.6a), (3.7a), (3.10) and (3.11) represent an alternative problem formulation. This particular formulation is better suited for the theoretical analysis while (3.5)-(3.8) is better suited for the numerical solution [20].…”
Section: Field Equations Suitable For the Numerical Solutionmentioning
confidence: 99%
“…We shall keep two forms of (4.2c) and (4.2e) as the use of boundary conditions in the form of derivatives is more computationally efficient (see Section 7) while the specification of Ψ T along the walls is more convenient for the enforcement of the flow rate constraint [20].…”
Section: Discretization Of the Field Equationsmentioning
confidence: 99%
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“…This is achieved when the boundary layer thickness becomes smaller than the rough height and leading the flow resistance to be bulk dominant. The studies of Hall & Joseph [9], Moradi & Floryan [10], Greidanus et al [11] and Zhu et al [12] can be include in this category.…”
Section: Introductionmentioning
confidence: 99%