TABLE OF CONTENTS 



Page 



ABSTRACT 1 



INTRODUCTION 2 



History 2 



Formulation of the Problem 4 



METHOD OF AXIAL DISTRIBUTIONS 6 



Sources and Sinks 6 



Doublet Distributions 7 



Munk's Approximate Distribution 8 



End Points of a Distribution 10 



An Improved First Approximation 13 



Solution of Integral Equation by Iteration 14 



Velocity and Pressure Distribution on the Surface 17 



Numerical Evaluation of Integrals 19 



Illustrative Example 21 



Error in Determination of p/q 33 



Comparison with Karman and Kaplan Methods 34 



SOLUTION BY APPLICATION OF GREEN'S THEOREM 34 



General Application to Problems in Potential Theory 34 



An Integral Equation for Axisymmetric Flow 35 



Kennard's Derivation of the Integral Equation 38 



A First Approximation 38 



Solution of Integral Equation by Iteration 39 



Numerical Evaluation of Integrals 40 



Illustrative Example 42 



SUMMARY 49 



APPENDIX - END POINTS OF A DISTRIBUTION 52 



REFERENCES 59 



