Summary
The motion of an incompressible viscous fluid induced by a spinning cone is analytically studied and similar solutions of the relevant steady state boundary equations are obtained. Some of the numerical results are shown to be obtainable from the Karman-Cochran solution for the infinite disc.
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Abbreviations
- p :
-
Pressure
- p ∞ :
-
Pressure at infinity
- p 0 :
-
Pressure at the wall
- ρ :
-
Density
- υ θ :
-
Transverse component of velocity
- υ ζ :
-
Normal component of velocity
- υ η :
-
Radial component of velocity
- Ω :
-
Angular velocity
- α :
-
Semi-vertex angle
- Re θ :
-
Reynolds number with respect to υ θo
- υ θo :
-
Transverse component of velocity at the cone surface
- υ :
-
Kinematic viscosity
References
Karman, Theodore von, Laminare und turbulente Reibung, ZAMM, 1921, p. 235.
Cochran, W. G., Proc. Camb. Phil. Soc. 30, (1934) 365.
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This research is sponsored by the Air Force Office of Scientific Research, Fluid Mechanics Division, under Contract Number AF 18(600)-498.
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Wu, CS. The three dimensional incompressible laminar boundary layer on a spinning cone. Appl. sci. Res. 8, 140–146 (1959). https://doi.org/10.1007/BF00411744
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DOI: https://doi.org/10.1007/BF00411744