466 F. W. Boggs and N. Tokita 
For large values of ¢ it is shown that 
F(L) mt ale Dale (A2) 
We wish to calculate w"/Cy' in terms of F and its derivatives. Let 
wi! 1 
=— = =. (A3) 
wy CFCC) 
In terms of A we obtain 
yi" 1 ( 2 =) 
—— = ——lh, + 3h’ +—].. A4 
igh alk h nee 
For large values of ¢ we obtain by combination of (A2) and (A4) 
m : -im/4 . 
ll ee ange Ta rye d tig = 2 ses (A5) 
C C 2t 4l 
ACKNOWLEDGMENTS 
The authors take pleasure in thanking Dr. Max O. Kramer and Professor P. J.W. Debye 
for many helpful suggestions made during the course of this work. . 
REFERENCES 
[1] Tollmein, W., “Gottinger Monographie uber Grenzchichten,” Pt B 3, 1956 
[2] Schlichting, H., “Zur Entstchung des Turbulentz bei der Plallenstromung,” Nachr. Ges. 
Wiss. Gottinger, Math. Phys. Klasse 182, 1933 
[3] Schlichting, H., “Boundary Layer Theory,” New York:McGraw-Hill, 1955 
[4] Lin, C.C., “On the Stability of Two-Dimensional Parallel Flow,” Quarterly of Appl. 
Math., Vol. III, pp. 117, 218, and 277 
[5] Lin, C.C., “The Theory of Hydrodynamic Stability,” Cambridge:The University Press, 
1955 
[6] Squire, H.B., “On the Stability of Three Dimensional Disturbances of Viscous Fluid 
Between Parallel Walls,” Proc. Roy. Soc. A-142 (1933) 
