On the steady motion of viscous liquid in a corner
- 1 July 1949
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 45 (3) , 389-394
- https://doi.org/10.1017/s0305004100025019
Abstract
1. In a steady two-dimensional motion of viscous liquid in the sharp corner formed by the rigid straight boundaries θ = 0, α, where r, θ are plane polar coordinates, it is found that, near enough to the corner, the most important term in the stream-function is of the form rmf(θ). The index m is evaluated in §§ 2–4 for values of α between 360 and 90°, and is found to be complex if α is less than about 146°; the limiting form of the stream-function when α is small is considered in § 5.Keywords
This publication has 2 references indexed in Scilit:
- Note on the slow motion of fluidMathematical Proceedings of the Cambridge Philosophical Society, 1936
- The Theory of a Thin Elastic Plate, Bounded by Two Circular Arcs and ClampedProceedings of the London Mathematical Society, 1921