Skip to main content Accessibility help

Side-wall boundary layers in rotating axial flow

  • L. G. Redekopp (a1)


The boundary layers forming on the walls of an aligned cylinder in a rotating fluid in axial motion are studied theoretically. The analysis shows that the side-wall boundary layer is of the Blasius type when the Rossby number exceeds the inverse square root of the Reynolds number and is transformed to the Stewartson $\frac{1}{3}$-layer when the Rossby number is less than this value. A second thicker boundary layer is superimposed on the $\frac{1}{3}$-layer whenever the difference between the azimuthal velocities of the ambient fluid and the boundary exceeds the axial velocity. Its thickness varies according to the relative magnitudes of these velocities and yields the Stewartson ¼-layer thickness only when the ratio of the azimuthal velocity difference to the axial velocity is of order E, where E is the Ekman number. A uniformly valid solution is obtained for the first case when the boundary layer is of the Blasius type.



Hide All
Baker, D. J. 1967 Shear layers in a rotating fluid. J. Fluid Mech. 29, 165176.
Greenspan, H. P. 1968 The Theory of Rotating Fluids. Cambridge University Press.
Kelly, R. E. & Redekopp, L. G. 1970 The development of horizontal boundary layers in stratified flow. Non-diffusive flow. J. Fluid Mech. 42, 497512.
Maxworthy, T. 1970 The flow created by a sphere moving along the axis of a rotating slightly viscous fluid. J. Fluid Mech. 42, 497512.
Miles, J. W. 1972 Axisymmetric rotating flow past a circular disk. J. Fluid Mech. 53, 689700.
Orloff, K. L. 1971 Experimental investigation of upstream influence in a rotating flow field. Ph.D. thesis, University of California, Santa Barbara.
Rosenhead, L. (ed.) 1963 Laminar Boundary Layers. Oxford University Press.
Schlichting, H. 1968 Boundary Layer Theory. McGraw-Hill.
Stewartson, K. 1957 On almost rigid rotations. J. Fluid Mech. 3, 1726.
Van Dyke, M. 1969 Higher-order boundary layer theory. Annual Reviews of Fluid Mechanics, vol. 1 (ed. W. R. Sears), pp. 265292.
MathJax is a JavaScript display engine for mathematics. For more information see

Side-wall boundary layers in rotating axial flow

  • L. G. Redekopp (a1)


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.