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Research Papers: Multiphase Flows

Implementation of Two-Fluid Model for Dilute Gas-Solid Flow in Pipes With Rough Walls

[+] Author and Article Information
Ashraf Uz Zaman

University of Saskatchewan,
57 Campus Drive,
Saskatoon, SK S7N 5A9, Canada
e-mail: asz427@mail.usask.ca

Donald John Bergstrom

Professor
University of Saskatchewan,
57 Campus Drive,
Saskatoon, SK S7N 5A9, Canada
e-mail: don.bergstrom@usask.ca

u+=u/uτ

k+=k/uτ2

-u'v'+=-u'v'/uτ2

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received December 7, 2012; final manuscript received December 10, 2013; published online January 16, 2014. Assoc. Editor: Francine Battaglia.

J. Fluids Eng 136(3), 031301 (Jan 16, 2014) (11 pages) Paper No: FE-12-1611; doi: 10.1115/1.4026282 History: Received December 07, 2012; Revised December 10, 2013

A numerical study was carried out to investigate the performance of a two-layer model for predicting turbulent gas-particle flows in rough pipes. An Eulerian–Eulerian two-fluid formulation was used to model both the gas and solid phases for turbulent gas-particle flow in a vertical tube. The stresses developed in the particle phase were calculated using the kinetic theory of granular flows while the gas-phase stresses were described using an eddy viscosity model. The two-fluid model typically uses a two-equation k-ɛ model to describe the gas phase turbulence, which includes the suppression and enhancement effects due to the presence of particles. For comparison, a two-layer model was also implemented since it has the capability to include surface roughness. The current study examines the predictions of the two-layer model for both clear gas and gas-solid flows in comparison to the results of a conventional low Reynolds number model. The paper specifically documents the effects of surface roughness on the turbulence kinetic energy and granular temperature for gas-particle flow in both smooth and rough pipes.

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References

Figures

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Fig. 1

Prediction for the mean velocity

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Fig. 2

Prediction for the fluctuating velocity

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Fig. 3

Prediction for the eddy viscosity

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Fig. 4

Prediction for the Reynolds shear stress

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Fig. 5

Prediction for the mean velocities of both phases

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Fig. 6

Prediction for the gas-phase fluctuating velocity

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Fig. 7

Prediction for the turbulent viscosity

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Fig. 8

Prediction for the granular temperature

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Fig. 9

Prediction for the source terms in granular temperature equation

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Fig. 10

Effect of specularity coefficient for flows in both smooth and rough pipes

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