2017
DOI: 10.1002/cjce.22863
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A reduced‐order model for chemical species transport in a tube with a constant wall concentration

Abstract: A two-dimensional advection-diffusion model accompanied with a parabolic velocity profile of Poiseuille flow is considered for the chemical species transport in a tube with a constant wall concentration. The Reynolds decomposition technique is applied to reduce it to an equivalent one-dimensional model for advective-dispersive transport in a tube through which the effective advection coefficient, the dispersion coefficient, and the effective Sherwood number are developed for the problem under study. The derive… Show more

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Cited by 27 publications
(7 citation statements)
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“…where m a � 1/(G × c ti ) and b a,pss � (μ × z) i /(2 × J × p i ). Equation (33) in water influx reservoirs is consistent with the one in dry gas reservoirs. erefore, the model proposed above can be extended to water influx reservoirs.…”
Section: Blasingame Production Decline Analysis Eorysupporting
confidence: 64%
See 1 more Smart Citation
“…where m a � 1/(G × c ti ) and b a,pss � (μ × z) i /(2 × J × p i ). Equation (33) in water influx reservoirs is consistent with the one in dry gas reservoirs. erefore, the model proposed above can be extended to water influx reservoirs.…”
Section: Blasingame Production Decline Analysis Eorysupporting
confidence: 64%
“…According to the above production decline analysis theory, the Blasingame type curves can be obtained by using one of the numerical Laplace inversion methods, including Stehfest, Zakian, Fourier series, and Schapery methods [31][32][33]. Here, the Stehfest method is applied [34].…”
Section: Model Validation and Comparisonmentioning
confidence: 99%
“…One major challenge often encountered during the production and transportation of crude oil in petroleum industries is the formation of complex and extremely stable emulsions with saline water [1][2][3][4]. These emulsions are droplets of water or brine dispersed in a continuous phase of crude oil: hence, they are known as water-in-oil (W/O) emulsions [5].…”
Section: Introductionmentioning
confidence: 99%
“…The EOF is extensively employed for mass transfer and sample separation in lab-on-a-chip technologies, capillary zone electrophoresis, and generally in conduits. Compared to the mass transfer in pressure-driven flow (PDF) [1][2][3][4], EOF under the condition of a thin EDL is associated with generating weaker shear dispersion (SD) of mass species, resulting in a more desirable separation. This can be explained as follows.…”
Section: Introductionmentioning
confidence: 99%