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Vortex flow adjacent to a stationary surface

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Abstract

The radius of transition from an inner core of solid body rotation to an outer free vortex motion was determined via the momentum integral method.

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Abbreviations

C :

vorticity

f :

force per unit mass

g :

gravitational acceleration

P :

static pressure

r, φ, z :

radial, azimuthal, and axial coordinates

R :

core radius

u, v, w :

radial, tangential, and axial components of velocity

W :

axial velocity of core flow

δ :

boundary layer thickness

δ δr , δ *φ :

radial and tangential displacement thickness

η :

dimensional axial coordinate

θr, θrφ, θφ:

momentum thickness as defined

ν :

kinematic viscosity

ρ :

density

τr, τφ:

shear stresses in the z-plane in the r and φ directions

r, z, φ :

components

o:

outside the boundary layer or characteristic guantities

∞:

at infinity

⋆:

dimensionless quantities

References

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Author information

Authors and Affiliations

  1. Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, 61801, Urbana, Illinois, USA

    S. L. Soo

Authors
  1. S. L. Soo
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Soo, S.L. Vortex flow adjacent to a stationary surface. Appl. Sci. Res. 28, 20–26 (1973). https://doi.org/10.1007/BF00413054

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  • DOI: https://doi.org/10.1007/BF00413054

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