Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Temperature distributions in rotating flows normal to a flat surface


Authors: Hans J. Lugt and Ernst W. Schwiderski
Journal: Quart. Appl. Math. 23 (1965), 133-150
MSC: Primary 80.34
DOI: https://doi.org/10.1090/qam/182311
MathSciNet review: 182311
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Abstract: The temperature fields of rotating laminar flows over a flat surface are investigated. Dissipation is considered, whereas free convection effects are neglected. The calculation is based on the knowledge of the flow fields, which have been studied in previous papers by the authors. In these papers first order approximations reduce the Navier-Stokes equations to ordinary differential equations. The basic ideas of this method are applied to the energy equation. In the special case of negligible dissipation the heat transfer of von Kármán type flows can be compared with existing experimental data. The agreement is satisfactory.


References [Enhancements On Off] (What's this?)

  • [1] E. W. Schwiderski and H. J. Lugt, Vortex flows normal to a flat surface, Tellus 15 (1963) 241
  • [2] Ernst W. Schwiderski and Hans J. Lugt, Rotating flows of von Kármán and Bödewadt, Phys. Fluids 7 (1964), 867–875. MR 0167064, https://doi.org/10.1063/1.1711298
  • [3] C. Wagner, Heat transfer from a rotating disk to ambient air, Journ. Appl. Phys. 19 (1948) 837
  • [4] Knox Millsaps and Karl Pohlhausen, Heat transfer by laminar flow from a rotating plate, J. Aeronaut. Sci. 19 (1952), 120–126. MR 0047455
  • [5] E. M. Sparrow and J. L. Gregg, Heat transfer from a rotating disk to fluids of any Prandtl number, Trans. ASME Series C 81 (1959) 249
  • [6] Th. von Kármán, Über laminare und turbulente Reibung, ZAMM 1 (1921) 244
  • [7] R. L. Young, Heat transfer from a rotating plate, Trans. ASME 78 (1956) 1163
  • [8] E. C. Cobb and O. A. Saunders, Heat transfer from a rotating disk, Proc. Roy. Soc. Series A 236 (1956) 343
  • [9] H. J. Lugt and E. W. Schwiderski, Heat transfer from a flat surface by rotating flows, U. S. Naval Weapons Laboratory Report No. 1875, 1963
  • [10] Hermann Schlichting, Boundary layer theory, Translated by J. Kestin. 4th ed. McGraw-Hill Series in Mechanical Engineering, McGraw-Hill Book Co., Inc., New York-Toronto-London; Verlag G. Braun, Karlsruhe, 1960. MR 0122222

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DOI: https://doi.org/10.1090/qam/182311
Article copyright: © Copyright 1965 American Mathematical Society


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