Discontinuous Flow of Liquid past a Wedge. 801 



and yu-oo the molecular conductivity at infinite dilution. There- 

 fore, according to Ghosh, the value of this quotient is e~ x ° 2 , 



2 

 whereas, according to (B), it should be — ^ x e~ x o 2 + erf x . 



The values of e~ x ~ and 1 — erf x are tabulated in the 

 appendix to Jeans's 'Treatise on the Dynamical Theory of 

 Gases/ With the aid of this table we have calculated and 



compared below the two sets of values of—. 



X. 



~ from (C)- 



from (B) 



Poo 



0-2 



0-96080 



099413 



0-3 



0-91393 



0-98075 



0-4 



0-85214 



0-95623 



05 



0-77880 



0-91889 



A comparison of the two columns of figures is sufficient to 



show that, as the values of ^calculated from the expression 



(G) are in good agreement with the experimental numbers, 

 the values of the same quotient calculated with the aid of 

 expression (B) must show a considerable discrepancy. 

 Accordingly, Ghosh's theory in its present form is not in 

 agreement with the facts if the number of ions whose kinetic 

 energy exceeds a specified value is correctly given by the 

 commonly accepted formula. 



Jesus College, Oxford. 



LXXII. On the Discontinuous Flow of Liquid past a Wedge. 

 By W. B. Morton, M.A., Queen s' University, Belfast*. 



IN the well-known case of two-dimensional motion solved 

 by Bobyleflf, a wedge is set in an infinitely extended 

 stream in such a way that a stream-line divides at the apex of 

 the wedge and runs along the two sides into the two surfaces 

 of discontinuity which extend to infinity. This requires, for 

 a wedge of given angle set in a given manner relative to the 

 stream, that the breadths of the two sides should be in a 

 definite ratio. The question arises as to the character of the 

 motion when this ratio is departed from. 



* Communicated bv the Author. 



