Hydrodynamic Aspects of Macromolecular Solutions 



of the ONR under Contract Nonr-4181(00); a detailed description will be forth- 

 coming. In the meantime let me reiterate in the following manner: 



'LASTIC WAVES 



Sticky fluids should not be 



treated with discourtesy. 



Strain them easy and you'll see, 



larger grows viscosity. 



Strain them quicker than fast time, 



relaxation shows no sign, 



Greater grows the molecule, 



which to shatter George Stokes' rule. 



Small and quiet in the flow, 

 waiting for the sign to grow. 

 Now unfolding near the wall, 

 where the shortest flow times fall. 

 Greater grows the stiffness now, 

 shear waves must the flow allow. 

 Waves of size like eddies length, 

 rob those eddies, half their strength. 

 Viscous layer thickness gains, 

 look now how the friction wanes ! 



Sticky fluids should not be 



treated with discourtesy. 



Flush them out from near the stem 



save yourself some rpm. 



Ship speeds' steady, oil it saves. 



Ah those lovely 'lastic waves. 



REFERENCES 



1. Hoyt, J.W., and Fabula, A.G., "The Effect of Additives on Fluid Friction," 

 pp. 947-974 in "Fifth ONR Symposium on Naval Hydrodynamics: Ship Mo- 

 tions and Drag Reduction," Office of Naval Research, Department of the 

 Navy, ACR-112, 1964; U.S. Government Printing Office, Washington, D.C. 



2. Elata, C, Lehrer, J., and Kahanovitz, A., "Turbulent Shear Flow of Poly- 

 mer Solutions," Israel J. Technology (Jerusalem) 4(No. l):87-95 (1966) 



3. Shin, H., "Reduction of Drag in Turbulence by Dilute Polymer Solutions," 

 Doctoral Thesis, May 1965, Dept. of Chemical Engineering, Massachusetts 

 Institute of Technology, Cambridge, Mass. 



4. Flory, P. J., "Principles of Polymer Chemistry," Cornell University Press, 

 Ithaca, New York, 1953 



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