The Jeffery–Hamel problem for laminar, radial flow between two nonparallel plates has been extended to the case of two immiscible fluids in slender channels. The governing continuity and momentum equations were solved numerically using the fourth-order Runge–Kutta method. Solutions were obtained for air–water at standard conditions over the void-fraction range of 0.4–0.8 (due to its practical significance) and the computations were limited to conditions where unique solutions were found to exist. The void fraction, pressure gradient, wall friction coefficient, and interfacial friction coefficient are dependent on the Reynolds numbers of both fluids and the complex nature of this dependence is presented and discussed. An attempt to use a one-dimensional two-fluid model with simplified assumptions succeeded in producing a qualitatively similar form of the void-fraction dependence on the two Reynolds numbers; however, quantitatively there are significant deviations between these results and those of the complete model.
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August 2017
Research-Article
Laminar, Radial Flow of Two Immiscible Fluids in Slender Wedge-Shaped Passages
H. M. Soliman
H. M. Soliman
Department of Mechanical Engineering,
University of Manitoba,
Winnipeg, MB R3T 5V6, Canada
e-mail: hassan.soliman@umanitoba.ca
University of Manitoba,
Winnipeg, MB R3T 5V6, Canada
e-mail: hassan.soliman@umanitoba.ca
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H. M. Soliman
Department of Mechanical Engineering,
University of Manitoba,
Winnipeg, MB R3T 5V6, Canada
e-mail: hassan.soliman@umanitoba.ca
University of Manitoba,
Winnipeg, MB R3T 5V6, Canada
e-mail: hassan.soliman@umanitoba.ca
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received June 17, 2016; final manuscript received March 1, 2017; published online May 17, 2017. Assoc. Editor: Praveen Ramaprabhu.
J. Fluids Eng. Aug 2017, 139(8): 081201 (8 pages)
Published Online: May 17, 2017
Article history
Received:
June 17, 2016
Revised:
March 1, 2017
Citation
Soliman, H. M. (May 17, 2017). "Laminar, Radial Flow of Two Immiscible Fluids in Slender Wedge-Shaped Passages." ASME. J. Fluids Eng. August 2017; 139(8): 081201. https://doi.org/10.1115/1.4036266
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