94 



On the Mathematical Theory of Combined Streams. 



factor of resistance, F, is given, into a reservoir in which the pressure P 

 and the elevation Z of the surface above the junction-chamber are given. 

 These, together with the areas A, a x , a 2 , &c, are the quantities given. 

 The functional values given are those of the bulkiness, * oJl , s , 2 , &c, and S , 

 as before ; also the following values of the velocities, according to well- 

 known principles in hydrodynamics ; for any component stream, 



and for the resultant stream, 



The functional values given are to be substituted in equations (1) and 

 (2), whose solution will then give the numerical values of p and P ; and 

 from these and the other data the numerical values of v x &c. and of V 

 may be calculated* 



