Abstract
For large values of the Reynolds number Re two terms of the asymptotic series for the torque have been calculated. They are of order Re−1/2 and Re−13/14, respectively. The second term has been obtained after investigation of the double-deck structure which is present near the edge of the disk over a length of order Re−3/7.
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A.I. van de Vooren and E.F.F. Botta, Fluid flow induced by a rotating disk of finite radius, J. Eng. Math. 24 (1990) 55–71.
F.T. Smith and P.W. Duck, Separation of jets or thermal boundary layers from a wall, Q. Jl. Mech. Appl. Math. 30 (1977) 143–156.
F.T. Smith, A note on a wall jet negotiating a trailing edge. Q. Jl. Mech. Appl. Math. 31 (1978) 473–479.
H. Schlichting, Boundary layer theory, McGraw-Hill, New York (1968).
S. Goldstein, Concerning some solutions of the boundary layer equations in hydrodynamics, Proc. Cambr. Phil. Soc. 26 (1930) 1–30.
M. Abramowitz and I.A. Stegun, Handbook of mathematical functions, Dover (1965).
A.E.P. Veldman, Boundary layer flow past a finite flat plate, Thesis, Mathematical Institute, University of Groningen (1976).
P.G. Daniels, Numerical and asymptotic solutions for the supersonic flow near the trailing edge of a flat plate. Q. Jl. Mech. appl. Math. 27 (1974) 175–191.
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van de Vooren, A.I., Botta, E.F.F. The torque required for a steady rotation of a disk in a quiescent fluid. J Eng Math 24, 261–286 (1990). https://doi.org/10.1007/BF00058469
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DOI: https://doi.org/10.1007/BF00058469