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Research Papers: Forced Convection

Numerical Investigations on Heat Transfer of Self-Sustained Oscillation of a Turbulent Jet Flow Inside a Cavity

[+] Author and Article Information
Farida Iachachene

Department of Physics,
Faculty of Sciences,
University M'hamed Bouguerra
Boumerdes UMBB,
Boumerdes, Algeria

Amina Mataoui

Theoretical and Applied Laboratory of
Fluid Mechanics,
University of Sciences and Technology Houari Boumedienne-USTHB,
B.P. 32, Bab Ezzouar,
Algiers 16111 Al Alia, Algeria
e-mail: amataoui@usthb.dz or mataoui_amina@yahoo.fr

Yacine Halouane

Department of Energetic,
Faculty of Engineering Sciences,
University M'hamed Bouguerra
Boumerdes UMBB,
Boumerdes,Algeria

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received July 6, 2014; final manuscript received March 15, 2015; published online June 2, 2015. Assoc. Editor: Jim A. Liburdy.

J. Heat Transfer 137(10), 101702 (Oct 01, 2015) (10 pages) Paper No: HT-14-1444; doi: 10.1115/1.4030497 History: Received July 06, 2014; Revised March 15, 2015; Online June 02, 2015

Computations of heat transfer and fluid flow of a plane isothermal fully developed turbulent plane jet flowing into a rectangular hot cavity are reported in this paper. Both velocity and temperature distributions are computed by solving the two-dimensional unsteady Reynolds-averaged Navier–Stokes (URANS) equations. This approach is based on one-point statistical modeling using the energy-specific dissipation (k-ω) turbulence model. The numerical predictions are achieved by finite volume method. This problem is relevant to a wide range of practical applications including forced convection and the ventilation of mines, enclosure, or corridors. The structural properties of the flow and heat transfer are described for several conditions. An oscillatory regime is evidenced for particular jet location, inducing for each variable a periodic behavior versus time. The jet flapping phenomena are detailed numerically by the instantaneous streamlines contours and the vorticity magnitude contours within one period of oscillation. The heat transfer along the cavity walls is also periodic. Time average of mean Nusselt number is correlated according with some problem parameters.

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References

Figures

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Fig. 1

Configuration, jet hot cavity interaction

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Fig. 2

Boundary conditions and parameters

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Fig. 3

Typical grid of the jet–cavity interaction

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Fig. 4

Effect of grid refinement for (Lf = 25, Lh = 10, and Re = 4000)

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Fig. 5

Computed dimensionless time evolution of the mean velocity components, pressure, temperature, kinetic energy, and specific dissipation rate, for jet exit location (Lh = 8.5, Lf = 30) and Re = 8500

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Fig. 6

Fourier modes for U-velocity (a) and V-velocity (b) jet exit location (Lf = 30, Lh = 10), (x/h0 = 8, y/h0 = 16), and Re = 4000

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Fig. 7

Frequency of oscillation for versus impingement distance Lf: (a) symmetrical jet location and (b) asymmetrical jet location

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Fig. 8

Flow structure (a) experimental flow visualization (Mataoui et al. [12]), (b) contours of vorticity magnitude, and (c) streamlines contours (Re = 4000, Lh = 8.5, and Lf = 40)

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Fig. 9

Sketch of mechanism of oscillation flow

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Fig. 10

The streamlines and the local Nusselt number for the three walls of the cavity at each quarter period T. Lf = 30, Lh = 10, and Re = 4000.

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Fig. 11

Average Nusselt number of the three walls of the cavity Re = 4000: (a) symmetrical jet location and (b) asymmetrical jet location

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Fig. 12

Influence Reynolds number on the average Nusselt number for the three walls of the cavity

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Fig. 13

Effect of impinging distance on mean Nusselt number for the three walls of the cavity

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Fig. 14

Mean Nusselt number distribution with Reynolds number

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