31 



J- 





































































-62.%- 



























- || Beginning of Region of Spherical Cap Bubbles 













5. 































- 



1 — 







1 



\ 



























Region of Ellipsoidal Bubbles Lies 





= 



Sphenca 

 Bubbles 



X 



V 































i* 













































































































































































































10 



















V 





68% 



62% Corn Syrup-Wafer, M » 0.155 X 10" 3 

 - 68%CornSvruo- Water. M« 0.212 X 10 ' 





































\ 





-<" 







1 1 1 1 1 1 1 1 1 1 | 



























jK 



„3 









Spherical Cap Bubbles 

















Mineral Oil, M* 



.45X10 ' 





:q 



\ 









































O, 















.. 











i 



































"-, 



v 



































































rrr- 



























































4-M^!^ 





























42% Glycerine -Water, M-4.I8XI0" 8 









<? 



'/™ 





v 









1 

























1 



Ill 1 1 1 III 1 II 



_ 





>' 



1 



;// 



































-Turpentine, M- 24. IX 10 



° — = = ?h 



B r 

































z 



w 1 - 



g: UU1 



M-I.08XI0" 10 

























13% Ethyl Alcohol -Water, M = I.I7X 10 - 





li 



ht 



ti i 











































ft 







i 







1 1 1 II 1 1 III 









































^X 







'i 



it: 







1 1 1 II 1 1 1 1 1 









































N*> 





/ 



/ / 



It l 



k 





Water ( Filtered ), 

 M = 0.25X10 ,0 

























_ 



in ^ 



h^ 





< 



it 





























Methyl Alcohol, M* 0.89X10 





^ 





T 





i 

















































•^^ 



'kj 

































































1 











10 10 



Reynolds Number 



Figure 20 - Drag Coefficient as a Function of Reynolds Number for Ellipsoidal 

 and Spherical Cap Bubbles in Various Liquids 





















i i 





I 



! 



1 1 



i i 























— 1 — 

































































































































X 





































































:»= — 

























_. 



psoidal Bubb 







. 





























N v 



N 























til 





















Spherical Bubblt 





-. 



V 













































* 





s + 







= • Mineral Oil, M =■ 1.45X10 Z 













































>- 



































































| | | 























10 





























s "-* 



N v 







N 



-68%C 



orn Syrup -Wote 



r,M =0.£ 



I2XI0" 2 









































*s 





N 





: X 



































































^ 



> 































































*- 







v. 



































- V 



/ater - 56% Glycerine (Bryn), M = 1.75 XIO~^ 



'\ 

















" Sph 



erical Cap Bubbles 





















K 































































_v 





X 

















= T* 















































\ , 





























































































































































1 























Water - 42%Glycerine( Bryn), M = 



4.I8XIC 



"•-J 











^ 



rpentine,M = 24 



.1X10"'° 











!3%Ethyl Alcohol -Water, M = I.I7XI0"-? — 





















-^ \l 

































^ 









.--- 









































Varsol.M = 4.3X10 '° 





-A 



<- 





"x. 











II 



































INI 







\ 



"- 



v 











I 



































Methyl Alcohol, M = 0.89 X I0~'°' 



















i 



V 



















































/ 













































j 



-- 









1/ 











































Cold Water, M= 1.08X10"' 



n *' 



















































-.' 



























n' 























1 



1 Ro 



om 7 



emper 



)tu 



6 





1 



1 





























10 10 10 I 10 



Weber Number 



Figure 21 - Drag Coefficient as a Function of Weber Number for Ellipsoidal 

 and Spherical Cap Bubbles in Various Liquids 



