Creeping Flow Through an Axisymmetric Sudden Contraction or Expansion

Sisavath, Sourith; Jing, Xudong; Pain, Christopher C.; Zimmerman, Robert W.

doi:10.1115/1.1430669

Cited by 44 publications

(25 citation statements)

References 18 publications

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“…For the Newtonian case, this approach is valuable because of the complex geometries encountered in the network (Thompson and Fogler, 1997). However, simpler approaches can also be used, which make use of known functionalities between frictional loss and duct geometries (for example, Sisavath et al, 2001Sisavath et al, , 2002. In this article, due to the non-Newtonian behavior, detailed simulations have been used, because it is not clear how to properly choose the equivalent throat geometries so as to quantify the flow behavior.…”

Section: Appendix a Streamline-scale Modelingmentioning

confidence: 98%

Modeling the steady flow of yield‐stress fluids in packed beds

Balhoff

Thompson

2004

AIChE Journal

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Section: Appendix a Streamline-scale Modelingmentioning

confidence: 98%

Modeling the steady flow of yield‐stress fluids in packed beds

Balhoff

Thompson

2004

AIChE Journal

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“…18 arises from taking into account the additional resistance to fluid flow due to the presence of the sudden contraction/expansion (Sisavath et al 2002). The main differences between Eqs.…”

Section: Prediction Of Permeability and Electrical Formation Factormentioning

confidence: 99%

Statistical Synthesis of Imaging and Porosimetry Data for the Characterization of Microstructure and Transport Properties of Sandstones

et al. 2010

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The microstructure of a suite of sandstone samples is quantitatively analyzed using a method which combines information from thin section micrographs of the pore space with mercury injection porosimetry in a statistical framework. This method enables the determination of a continuous distribution of pore sizes ranging from few nanometre to several hundred micrometre. The data obtained unify fractal and Euclidean aspects of the void space geometry, yield estimates of the pore-to-throat aspect ratio and challenge the ability of commonly used network models to describe fluid percolation in multiscale porous media. Application of critical path analysis to the prediction of flow permeability and electrical conductivity of sandstone core samples using the new information produces results comparable to those obtained by the classical approach-a fact attributed to the presence of macroscopic heterogeneity at the scale of several millimetres.

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“…(4)), the normalized pressure (p/(ÁU B /d)) variation becomes independent of ER and is essentially that given for an exit flow at the same Deborah number, except for the very small contribution from the entry region. For De = 0 this corresponds approximately to half the entry pressure drop for creeping flow through a rectangular orifice plate (a sudden contraction followed by a sudden expansion), a Sampson-like solution for the circular duct [27].…”

Section: High Expansion Ratiosmentioning

confidence: 99%

The effect of expansion ratio for creeping expansion flows of UCM fluids

Poole

Pinho

Alves

et al. 2009

Journal of Non-Newtonian Fluid Mechanics

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a b s t r a c tA systematic numerical investigation on creeping flows in planar sudden expansions of viscoelastic fluids obeying the upper-convected Maxwell model is carried out to assess the combined effects of viscoelasticity, through the Deborah number, and expansion ratio (ER), which was varied between 1.25 and 32. At large expansion ratios (ER ≥ 4) the flow becomes dominated by the downstream duct size and appropriately normalized quantities tend to be independent of ER. The recirculation size and strength become decreasing functions of De, whereas the Couette correction (the normalized entry pressure drop due to the presence of the expansion) increases. At small ER (ER ≤ 3), however, no simple scaling laws are found and there is a complex interaction between De and ER leading to non-monotonic variations, with an initial decrease in the recirculation length at low Deborah numbers, followed by an enhancement as De increases.

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Creeping Flow Through an Axisymmetric Sudden Contraction or Expansion

Cited by 44 publications

References 18 publications

Modeling the steady flow of yield‐stress fluids in packed beds

Modeling the steady flow of yield‐stress fluids in packed beds

Statistical Synthesis of Imaging and Porosimetry Data for the Characterization of Microstructure and Transport Properties of Sandstones

The effect of expansion ratio for creeping expansion flows of UCM fluids

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