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Research Papers: Forced Convection

On Convective Heat Transfer and Flow Dynamics Through a Straight T-Bifurcating Channel

[+] Author and Article Information
Lakehal Abdelhak

LMFTA,
Université des Sciences et de la
Technologie Houari Boumediene,
PB 32 El Alia,
Bab Ezzouar 16111, Alger, Algeria
e-mail: lakabdelhak@hotmail.com

Nait-Bouda Nora

LMFTA,
Université des Sciences et de la
Technologie Houari Boumediene,
PB 32 El Alia,
Bab Ezzouar 16111, Alger, Algeria
e-mail: n.naitbouda@yahoo.fr

Pelle Julien

TEMPO,
Université de Valenciennes
et du Hainaut-Cambrésis,
Valenciennes CEDEX 9,
Famars 59313, France
e-mail: Julien.Pelle@univ-valenciennes.fr

Harmand Souad

TEMPO,
Université de Valenciennes
et du Hainaut-Cambrésis,
Valenciennes CEDEX 9,
Famars 59313, France
e-mail: Souad.Harmand@univ-valenciennes.fr

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received November 10, 2015; final manuscript received June 19, 2017; published online October 10, 2017. Assoc. Editor: Milind A. Jog.

J. Heat Transfer 140(3), 031701 (Oct 10, 2017) (9 pages) Paper No: HT-15-1718; doi: 10.1115/1.4037208 History: Received November 10, 2015; Revised June 19, 2017

Both experimental and numerical studies of a turbulent flow in a bifurcating channel are performed to characterize the dynamical behavior of the flow and its impact on the convective heat transfer on the sides of the branch. This configuration corresponds to the radial vents placed in the stator vertically to the rotor–stator air gap in the electrical machines. Indeed, our analysis focuses on the local convective heat transfer on the vents internal surface under a turbulent mass flow rate. The flow field measurements were carried out with two components particle image velocimetry (PIV) system, and the local heat transfer on the sides of the bifurcation branch was measured using an infrared thermography device. The convective heat transfer and the flow dynamics through the geometry are investigated numerically considering a three-dimensional (3D) flow. The closure system of the Navier–Stokes equations for steady and incompressible flow is based on the low-Reynolds numbers Reynolds stress model (RSM) (RSM-stress-ω). The comparison of the 3D computed results with the measurements in the xy symmetry plane is satisfactory in the vertical and horizontal channels. The numerical prediction of the secondary flow in the vertical branch was analyzed and complements the experimental results. It was particularly noticed that the accelerated flow observed at the right side of the branch's inlet allows more pronounced heat transfer comparatively to the left side. Beyond approximately 7 hydraulic diameters from the entrance of the branch, the Nusselt number curves on the two sides of the branch tend to be the same developed Nusselt number, Nud.

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Figures

Grahic Jump Location
Fig. 1

View of the experimental setup (a) the general sketch and (b) measurement of the temperature on the right side of the third bifurcation

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Fig. 2

Grid layout and coordinates

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Fig. 3

Distribution of the velocity magnitude and the streamlines pattern: (a) PIV measurements and (b) RSM-stress-ω calculation

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Fig. 4

Mean y-velocity profiles v/U0 in the bifurcation branch (left) right: evolution of the Reynolds stress (R12/U02) component profiles in the bifurcation channel

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Fig. 5

Mean x-velocity profiles u/U0 in the horizontal branch

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Fig. 6

Mean x-velocity and the normal Reynolds stress profiles at the station, X = −1

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Fig. 7

Evolution of the Reynolds stress component (R12/U02) profiles in the horizontal channel

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Fig. 8

(a) Distribution of the z-vorticity; left, PIV measurement; right, RSM-stress-ω calculation and (b) distribution of the y-vorticity at the midplane X = 0.274

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Fig. 9

Distribution of the y-velocity (m/s) and the streamlines pattern in the branch

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Fig. 10

Nussel evolution on the centerline z = −2.91 Dh of the left- and right-heated walls of the bifurcation

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Fig. 11

Reynolds number influence on the Nussel evolution at Z = −2.91 of the left- and right-heated walls of the bifurcation (RSM-stress-ω)

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Fig. 12

Temperature profiles obtained in the bifurcating branch, qwl = 2094 w/m2 and qwr = 2518 w/m2

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