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The geometric characteristics of the heat transferring surface and the outer flow conditions have a significant impact on heat transfer augmentation. Both, the surface roughness and the pressure gradient attribute to an enhanced heat transfer. These two effects are utilized in this study to enhance the convective heat transfer rate in a non-similar boundary-layer flow induced by the rotation of a sinusoidal-shaped disk in an external forced flow. The heat transfer coefficient is calculated numerically for the laminar boundary-layer flow with the help of the Keller-box method. The numerical solution of the governing system of equations is first validated by previous published (theoretical and experimental) results for a wavy rotating disk in the absence of an external flow field and also for a flat disk rotating in a forced flow. It is observed that the effect of surface waviness along with a relative fluid motion on heat transfer rate, shear stresses, and shaft torque is quite pronounced. Specifically, enhancement of moment coefficient due to waviness of the disk leads to increase the power of a wavy disk pump in comparison to a smooth one. Furthermore, 119%, 174%, 86%, and 86% enhancement in the heat transfer rate, the radial shear stress, the tangential shear stress, and the moment coefficient, respectively, is observed for a rotating wavy disk subjected to a forced flow (at fixed a/ω = ∞ and a0/λ = 0.125) in comparison to a free rotating flat disk.
PAPER REVISED: 2019-05-26
PAPER ACCEPTED: 2019-06-10
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THERMAL SCIENCE YEAR 2021, VOLUME 25, ISSUE Issue 1, PAGES [133 - 144]
  1. Le Palec, G., Numerical Study of Convective Heat Transfer over a Rotating Rough Disk with Uniform Wall Temperature, Int. Com. Heat Mass Tranf., 16 (1989), 1, pp. 107-113
  2. Le Palec, G., et al., Study of Laminar Heat Transfer over a Sinusoidal-Shaped Rotating Disk, Int. J. Heat Mass Transf., 33 (1990), 6, pp. 1183-1192
  3. Yoon, M. S., et al., Flow and Heat Transfer over a Rotating Disk with Surface Roughness, Int. J. Heat and Fluid Flow, 28 (2007), 2, pp. 262-267
  4. Karman, T., von, Uber laminare und turbulente Reibung. Z. Angew. Math. Mech. 1 (1921), pp. 233-252
  5. Cochran, W. G., The Flow due to a Rotating Disk, Proc. Cambridge Philos. Soc., 30 (1934), 3, pp. 365-375
  6. Benton, E. R., On the Flow due to a Rotating Disk, J. Fluid Mech., 24 (1966), 4, pp. 781-800
  7. Evans, G., Grief, R., A Numerical Model of the Flow and Heat Transfer in a Rotating Disk Chemical Vapor Deposition Reactor, ASME J. Heat Transf., 109 (1987), 4, pp. 928-935
  8. Rogers, M. H., Lance, G. N., The Rotationally Symmetric Flow of a Viscous Fluid in the Presence of an Infinite Rotating Disk, J. Fluid Mech., 7 (1960), 4, pp. 617-631
  9. Tien, C. L., Tsuji, J., Heat Transfer by Laminar Forced Flow against a Non-Isothermal Rotating Disk, Int. J. Heat Mass Transf., 7 (1963), 2, pp. 247-252
  10. Mabuchi, I., et al., Studies on Convective Heat Transfer from a Rotating Disk (3rd Report, Heat and Mass Transfer in a Laminar Flow about a Rotating Disk with Suction or Injection in the Axial Stream), Bull JSME, 11 (1968), 47, pp. 875-884
  11. Mabuchi, I., et al., Studies of Convective Heat Transfer from a Rotating Disk (5th Report, Experiment on the Laminar Heat Transfer from a Rotating Isothermal Disk in a Uniform Forced Stream), Bull JSME, 14 (1971), 72, pp. 581-589
  12. Hannah, D.M., Forced Flow against a Rotating Disc, British Aero. Res. Comm. Rep. and Memo No., 2772, 1947
  13. Tifford, A. N., Chu, S. T., On the Flow around a Rotating Disc in a Uniform Stream, J. Aero. Sci., 19 (1952), 4, pp. 284-285
  14. Shevchuk, I. V., Laminar Heat Transfer in a Rotating Disk under Conditions of Forced Air Impingement Cooling: Approximate Analytic Solution, Heat and Mass transf. and Physical Dynamics, 5 (2002), 40, pp. 739-747
  15. Moore, F. K., Three-Dimensional Boundary Layer Theory, Advances in Applied Mechanics, 4 (1956), pp. 159-228
  16. Keller, H. B., Cebeci, T., Accurate Numerical Methods for Boundary-Layer Flows-I. Two Dimensional Laminar Flows, Proceedings, 2nd Int. Conference on Numerical Methods in Fluid Dynamics, University of California, Berkeley, Cal, USA, 1971, pp. 92-100

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