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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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References

Goldstein, J. L., and Sparrow, E. M., 1977, “Heat and Mass Transfer Characteristics for Flow in a Corrugated Wall Channel,” ASME J. Heat Transfer, 99, pp. 187–195. [CrossRef]
Hudson, J. D., Dykhno, L., and Hanratty, T. J., 1996, “Turbulence Production in Flow Over a Wavy Wall,” Exp. Fluids, 20, pp. 257–65. [CrossRef]
Saidi, C., Legay, F., and Fotch, B. P., 1987, “Laminar Flow Past a Sinusoidal Cavity,” Int. J. Heat Mass Transfer, 30(4), pp. 649–660. [CrossRef]
Patankar, S. V., Liu, C. H., and Sparrow, E. M., 1977, “Fully Developed Flow and Heat Transfer in Ducts Having Streamwise—Periodic Variations of Cross-Sectional Area,” ASME J. Heat Transfer, 99, pp. 180–186. [CrossRef]
Wang, G., and Vanka, S. P., 1995, “Convective Heat Transfer in Periodic Wavy Passages,” Int. J. Heat Mass Transfer, 38(17), pp. 3219–3230. [CrossRef]
Tanda, G., and Vittori, G., 1996, “Fluid Flow and Heat Transfer in a Two-Dimensional Wavy Channel,” Heat Mass Transfer, 31, pp. 411–418. [CrossRef]
Wang, C. C., and Chen, C. K., 2002, “Forced Convection in a Wavy-Wall Channel,” Int. J. Heat Mass Transfer, 45, pp. 2587–2595. [CrossRef]
Hossain, M. Z., and Islam, A. K. M. S., 2004, “Fully Developed Flow Structures and Heat Transfer in Sine-Shaped Wavy Channels,” Int. Commun. Heat Mass Transfer, 31(6), pp. 887–896. [CrossRef]
Xie, G. N., Wang, Q. W., Zeng, M., and Luo, L. Q., 2007, “Numerical Investigation of Heat Transfer and Fluid Flow Characteristics Inside a Wavy Channel,” Heat Mass Transfer, 43, pp. 603–611. [CrossRef]
Nishimura, T., Murakami, S., Arakawa, S., and Kawamura, Y., 1990, “Flow Observations and Mass Transfer Characteristics in Symmetrical Wavy-Walled Channels at Moderate Reynolds Number for Steady Flow,” Int. J. Heat Mass Transfer, 33(5), pp. 835–845. [CrossRef]
Niceno, B., and Nobile, E., 2001, “Numerical Analysis of Fluid Flow and Heat Transfer in Periodic Wavy Channels,” Int. J. Heat Fluid Flow, 22, pp. 156–167. [CrossRef]
Haitham, M. S. B., Anand, N. K., and Chen, H. C., 2005, “Numerical Study of Heat and Momentum Transfer in Channels With Wavy Walls,” Numer. Heat Transfer, Part A, 47, pp. 417–439. [CrossRef]
Haitham, M. S. B., 2007, “Numerical Study of Fluid Flow and Heat Transfer Characteristics in Channels With Staggered Wavy Walls,” Numer. Heat Transfer, Part A, 51, 877–898. [CrossRef]
Tolentino, F. O., Méndez, R. R., Guerrero, A. H., and Palomares, B. G., 2008, “Experimental Study of Fluid Flow in the Entrance of a Sinusoidal Channel,” Int. J. Heat Fluid Flow, 29, 1233–1239. [CrossRef]
Rush, T. A., Newell, T. A., and Jacobi, A. M., 1999, “An Experimental Study of Flow and Heat Transfer in Sinusoidal Wavy Passages,” Int. J. Heat Mass Transfer, 42, 1541–1553. [CrossRef]
Hossain, M. Z., and Islam, A. K. M. S., 2007, “Numerical Investigation of Fluid Flow and Heat Transfer Characteristics in Sine, Triangular, and Arc-Shaped Channels,” Therm. Sci., 11(1), pp. 17–26. [CrossRef]
Rhie, C. M., and Chow, W. L., 1983, “Numerical Study of Turbulent Flow Past an Aerofoil With Trailing Edge Separation,” AIAA J., 21(11), pp. 1525–1532. [CrossRef]
Incropera, F. P., and DeWitt, D. P., 2002, Introduction to Heat Transfer, 4th ed., John Wiley & Sons, New York.
Ramgadia, A. G., and Saha, A. K., 2012, “Fully Developed Flow and Heat Transfer Characteristics in a Wavy Passage: Effect of Amplitude of Waviness and Reynolds Number,” Int. J. Heat Mass Transfer, 55, 2494–2509. [CrossRef]
Ramgadia, A. G., and Saha, A. K., 2012, “Large Eddy Simulation of Turbulent Flow and Heat Transfer in a Ribbed Coolant Passage,” J. Appl. Math., 2012, 246313. [CrossRef]
Guzmán, A. M., and Amon, C. H., 1994, “Transition to Chaos in Converging-Diverging Channel Flows: Ruelle-Takens-Newhouse Scenario,” Phys. Fluids, 6(6), pp. 1994–2002. [CrossRef]

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. 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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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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