Some cases of instability in fluid motion
- 1 March 1928
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character
- Vol. 118 (779) , 195-208
- https://doi.org/10.1098/rspa.1928.0045
Abstract
1. In a recent paper I obtained a numerical solution of some problems concerning the stability of a layer of incompressible fluid when the temperature decreases upwards. The results depended on the solution of the sixth-order differential equation ( d 2 / d ζ 2 - a 2 ) 3 Z = -λ a 2 Z. (1) In this solution the co-ordinates were x , y and z , the last being taken vertically. The depth of the fluid is h , and ζ = z / h . (2) Z is the factor of the disturbance of temperature that involves Z. The other factor is supposed to be of the form sin lx sin my , and a 2 = ( l 2 + m 2 ) h 2 . (3)This publication has 0 references indexed in Scilit: