190 



On the Flow of Elastic Fluids through Orifices. 



than 



d 



2 



In these cases the forces are ^ -d and d -D and we 



have for the couplet ^ -d : rf — D;;V ; v. The densities in the 



orifices are d and D, and we have dY~T)v and V 



w 



tuting this last quantity in the couplet we find 



Dv 

 ~d 



Substi- 



d 



v/ 



D24- 



^ 



4 





D 



2 



1 



as the formula for the vakie of d by the new theory when D ex- 



2 



ceeds s^. The densities in the chamber computed by these 



formulae are placed in the third column of the table. 



Density of the Atmosphere during Experiment 30. 



I 



Denfity 



Density in the cham- 



Density in tlie cham- 

 ber due to the new 



Density in the cham-! Deviation ot the. 



in the 



ber as found by ex- 



htiT ilxie to the old experiment from] 



receiver. 



periment. 



theory, 



24 



theory. 



the new theory, 



■ 









18-541 



1 



1 



24 



18820 





2 



1 



24 



19-106 





3 



1 



24 



19-397 



1 





4 



24-58 



24 



19-695 





'58 



5 



24-58 



24 



20 





58 



6 



24-58 



24 



20-311 





'58 



1 



24-58 



24 



20-628 





■58 



8 



24-58 



24 



20-953 



4 



'58 



9 



24-58 



24 



21-284 





■68 



10 



24-58 



24 



21*622 





■58 



11 



24-60 



24 



21-968 





'60 



12 



24-64 



24 



22-320 





64 



13 



24-70 



24-032 



22-713 





■668 



14 



24-77 



24-124 



23-048 





646 



15 



24-89 



24-270 



23-423 





62 



16 



25-03 



24464 



23-805 





•666 



17 



25-21 



24-700 



24-194 





■61 



18 



2543 



24-974 



24-594 





-456 



19 



25-69 



25-280 



25 





41 



20 



25-96 



25-615 



25-414 





345 



21 



26-30 



25-976 



25-835 





■324 



22 



26-65 



26-360 



26-265 





■29 



23 



27-03 



26-764 - 



26-699 





'266 



24 



27-43 



27-186 



27-149 





'244 



25 



27-81 



27-625 



27-604 





•185 



26 



28-20 



28076 



28-066 





•124 



27 



28-65 



28-541 



28-533 





109 



28 



29-08 



29-017 



29016 





063 



29 



29-55 



29504 



29-504 '046 \ 



30 



30 



30 



30 1 



1 



I 



The affinity of the experimental results to those derived from 

 the new theory, is obvious upon inspection of the table; and the 

 want of affinity to those derived from the old theory, is not less 

 evident. The comparative relation of the two theories to the re- 

 sults of experiment, is more readily seen in the annexed cut, 



