Abstract
We study the free-convective boundary-layer flow that is induced when a slender circular cylinder emerges from an orifice and moves vertically downwards. We demonstrate, by numerical solution of the equations, that the boundary-layer solution develops a singularity at a finite point, where the limiting form of solution is as predicted by Kuiken [3] for an analogous two-dimensional flow.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
H.K. Kuiken, The cooling of a low-heat-resistance sheet moving through a fluid. Proc. Roy. Soc. Lond. A341 (1974) 233–252.
H.K. Kuiken, The cooling of a low-heat-resistance cylinder moving through a fluid. Proc. Roy. Soc. Lond. A346 (1975) 23–35.
H.K. Kuiken, A backward free-convective boundary layer. Quart. Jl Mech. appl. Math. 34 (1981) 397–413.
S. Goldstein, On backward boundary layers and flow in converging passages. J. Fluid Mech. 21 (1965) 33–45.
S.N. Brown and K. Stewartson, On similarity solutions of the boundary-layer equations with algebraic decay. J. Fluid Mech. 23 (1965) 673–687.
M.A. Khan and K. Stewartson, On natural convection from a cooling vertical sheet. Quart. Jl Mech. appl. Math. 37 (1984) 325–338.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Riley, N. (1992). Free convection from a vertical cooling fibre. In: Kuiken, H.K., Rienstra, S.W. (eds) Problems in Applied, Industrial and Engineering Mathematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2440-9_6
Download citation
DOI: https://doi.org/10.1007/978-94-011-2440-9_6
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-5076-0
Online ISBN: 978-94-011-2440-9
eBook Packages: Springer Book Archive