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Research Papers: Forced Convection

Characteristics of Fully Developed Flow and Heat Transfer in Channels With Varying Wall Geometry

[+] Author and Article Information
Arun K. Saha

e-mail: aksaha@iitk.ac.in

Department of Mechanical Engineering,
Indian Institute of Technology,
Kanpur, Kanpur, Uttar Pradesh 208 016, India

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the Journal of Heat Transfer. Manuscript received February 20, 2012; final manuscript received April 28, 2013; published online November 7, 2013. Assoc. Editor: William P. Klinzing.

J. Heat Transfer 136(2), 021703 (Nov 07, 2013) (15 pages) Paper No: HT-12-1062; doi: 10.1115/1.4024552 History: Received February 20, 2012; Revised April 28, 2013

Present study focuses on numerical investigation of fully developed flow and heat transfer through three channels having sine-shaped, triangle-shaped, and arc-shaped wall profiles. All computations are performed at Reynolds number of 600. Finite volume method on collocated grid is used to solve the time-dependent Navier–Stokes and energy equations in primitive variable form. For all the geometries considered in the study, the ratios Hmin/Hmax and L/a are kept fixed to 0.4 and 8.0, respectively. The thermal performances of all the three wall configurations are assessed using integral parameters as well as instantaneous, time-averaged and fluctuating flow fields. The geometry with the sinusoidal-shaped wall profile is found to produce the best thermal properties as compared to the triangle-shaped and the arc-shaped profiles though the obtained heat transfer is the highest for the arc-shaped geometry.

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Figures

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Fig. 1

Geometry of studied configurations with 180 deg phase shift alongwith definitions of parameters used: (a) sine-shaped; (b) triangle-shaped; and (c) arc-shaped

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Fig. 2

Time variation of streamwise velocity component (at x = 0.85 and y = 0.48): (a) sine-shaped; (b) triangle-shaped; and (c) arc-shaped

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Fig. 3

Power spectra and the corresponding signal plots for various geometries: (a) sine-shaped; (b) triangle-shaped; and (c) arc-shaped at Re = 600 (x = 0.85 and y = 0.48)

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Fig. 4

Temporal variation of surface averaged Nusselt number for different geometric configurations at Re = 600

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Fig. 5

Streamlines plots at four different time instants for sine-shaped (left), triangle-shaped (middle) and arc-shaped (right) geometries at Re = 600

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Fig. 6

Isotherms at four different time instants for sine-shaped (left), triangle-shaped (middle) and arc-shaped (right) geometries at Re = 600

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Fig. 10

Variation of time-averaged streamwise velocity and temperature along (a) streamwise and (b) transverse directions for three geometries studied at Re = 600

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Fig. 11

Contours of velocity fluctuations at Re = 600. (All quantities are scaled by a factor of 100.)

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Fig. 12

Contours of velocity and temperature fluctuations at Re = 600. (All quantities are scaled by a factor of 100.)

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Fig. 13

Streamwise variation of (a) velocity fluctuations and (b) temperature fluctuation and cross-correlation function between temperature and velocity at the mid centerline of computational domain for the various geometries at Re = 600. (All quantities are scaled by a factor of 100.)

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Fig. 14

Transverse variation of (a) streamwise velocity and temperature fluctuations and (b) shear stress and cross-correlation function between temperature and velocity at the midtransverse location of computational domain for various geometries at Re = 600. (All quantities are scaled by a factor of 100.)

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Fig. 7

Nusselt number variation as a function of arc-length at four time instants at Re = 600 for three geometries studied

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Fig. 8

Skin-friction factor variation as a function of arc-length at four time instants at Re = 600 for three geometries studied

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Fig. 9

Time-averaged streamline (left) and isotherm (right) plots of geometries studied at Re = 600: (a) sine-shaped; (b) triangle-shaped; and (c) arc-shaped

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