DISCUSSION 802 



J. F. Dalzell, Southwest Research Institute, 

 San Antonio, Texas 



DISCUSSION 80 3 



S. Motora, University of Tokyo, Tokyo, Japan 



DISCUSSION 809 



E. Numata, Stevens Institute of Technology, Hoboken, N.J. 



DISCUSSION 810 



K. C. Ripley, J. J. McMullen Associates, Inc., 

 Washington, D.C, 



DISCUSSION 811 



A. Silverleaf, National Physical Laboratory, 

 Teddington, England 



REPLY TO THE DISCUSSION 812 



A. J. Giddings, Bureau of Ships, Washington, D.C. and 

 R. Wermter, David Taylor Model Basin, Washington, D.C. 



A VORTEX THEORY FOR THE MANEUVERING SHIP 815 



R. Brard, Bassin d'Essais des Carenes de la Marine, Paris, France 



DISCUSSION 908 



N. H. Norrbin, Swedish State Shipbuilding Experimental Tank, 

 Goteborg, Sweden 



DISCUSSION 908 



A. J. Vosper, Admiralty Experimental Works, Gasport, England 



REPLY TO THE DISCUSSION BY NORRBIN 910 



R. Brard, Bassin d'Essais des Carenes de la Marine, 

 Paris, France 



REPLY TO THE DISCUSSION BY VOSPER 911 



R, Brard, Bassin d'Essais des Carenes de la Marine, 

 Paris, France 



THE REDUCTION OF SKIN FRICTION DRAG 915 



J. L. Lumley, The Pennsylvania State University, University 

 Park, Pennsylvania 



DISCUSSION 939 



S. K. F. Karlsson, Brown University, Providence, R.I. 



DISCUSSION— A BASIC THEORY THAT COULD EXPLAIN 



DRAG REDUCTION IN A FLOW CARRYING ADDITIVES 944 



A. C. Eringen, Purdue University, Lafayette, Indiana 



DISCUSSION 945 



A. Kistler, Yale University, New Haven, Connecticut 



REPLY TO THE DISCUSSION 946 



J. L. Lumley, The Pennsylvania State University, 

 University Park, Pennsylvania 



THE EFFECT OF ADDITIVES ON FLUID FRICTION 947 



J. W. Hoyt and A. G. Fabula, U.S. Naval Ordnance Test Station, 

 Pasadena, California 



DISCUSSION 959 



H. Schwanecke, Hamburg Model Basin, Hamburg, Germany 



DISCUSSION 960 



M. P. Tulin, Hydronautics, Incorporated, Laurel, Maryland 



IX 



