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Research Papers: Fundamental Issues and Canonical Flows

RANS Based Computational Fluid Dynamics Simulation of Fully Developed Turbulent Newtonian Flow in Concentric Annuli

[+] Author and Article Information
Xiao Xiong

Faculty of Engineering and Applied Science,
Department of Process Engineering,
Memorial University of Newfoundland,
St. John's, NL A1B 3X9, Canada
e-mail: xx7048@mun.ca

Mohammad Aziz Rahman

Faculty of Engineering and Applied Science,
Department of Process Engineering,
Memorial University of Newfoundland,
St John's, NL A1B 3X9, Canada
e-mail: marahman@mun.ca

Yan Zhang

Faculty of Engineering and Applied Science,
Department of Process Engineering,
Memorial University of Newfoundland,
St John's, NL A1B 3X9, Canada
e-mail: yanz@mun.ca

1Corresponding author.

Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received September 3, 2015; final manuscript received March 8, 2016; published online June 3, 2016. Assoc. Editor: Oleg Schilling.

J. Fluids Eng 138(9), 091202 (Jun 03, 2016) (9 pages) Paper No: FE-15-1626; doi: 10.1115/1.4033314 History: Received September 03, 2015; Revised March 08, 2016

A computational fluid dynamics (CFD) simulation is performed via ansys–CFX for a fully developed turbulent flow in concentric annuli with two radius ratios (R1/R2 = 0.4 and 0.5) at three Reynolds numbers (Re = 8900, 26,600, and 38,700) in terms of the hydraulic diameter D and the bulk velocity Ub. Near-wall turbulence structures close to the inner and outer walls are characterized by analyzing the first-order and second-order statistics. Effects of transverse curvature and the Reynolds number on development of the turbulence structures are emphasized. This study demonstrates the ability to predict the asymmetric features of turbulent flows in annular pipes by using the Reynolds-Averaged Navier–Stokes (RANS) model. Estimation of viscous dissipation in the flow using a RANS model is compared with direct numerical simulation (DNS) results for the first time.

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Figures

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Fig. 1

Scheme of test geometry and coordinate system

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Fig. 2

Mesh independence test

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Fig. 3

Axial velocity at the wall

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Fig. 4

Axial velocity for different θ

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Fig. 5

Axial velocity for at different Re

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Fig. 6

Reynolds stress distribution with various Reynolds numbers and radius ratios

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Fig. 7

CFD results of near-wall Reynolds stresses for different Reynolds numbers

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Fig. 8

Locations of maximum axial velocity and zero Reynolds stress for different Re

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Fig. 9

Locations of maximum axial velocity and zero Reynolds stress for different θ

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Fig. 10

Shear production for θ  = 0.5 compared with pipe flow

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Fig. 11

Shear production term for different θ and Re

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Fig. 14

Average vorticities for θ  = 0.4 and Re = 38,700

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Fig. 13

Turbulent kinetic energy budget for θ = 0.5 and Re = 8900

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Fig. 12

Viscous dissipation term for different Re

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