@article{oai:nagoya.repo.nii.ac.jp:00030888, author = {Uchida, Shigeo}, issue = {1}, journal = {Memoirs of the Faculty of Engineering, Nagoya University}, month = {Nov}, note = {Fundamental concepts of the theory of streamline analysis method and its applications are presented. Controlling the form of curvilinear coordinates close to the estimating pattern for the solution, the partial differential equation can be divided into series of ordinary ones, and thus integration is simplified. To improve the approximations iterative procedures are employed. In the flux analysis method the coordinates are corrected by the patterns of approximate solution in each step of iterations. Applications to the compressible flow through a nozzle of predicted wall velocity, cascade flows, the supersonic flow around a blunt body and swirling flow through arbitrary pipe are presented. A brief notice on the explicit solution of mixing layer referring to the stream-surface coordinates are also given. Fundamental equations of fluid mechanics referred to generalized coordinates with twist of axes and to other coordinate system are presented in Appendices.}, pages = {1--85}, title = {Theory of streamline analysis method referred to the orthogonal curvilinear coordinates}, volume = {32}, year = {1980} }