I soenerge t i c r o t a t i o n a l flow b e h i n d a c u r v e d shock w a v e is s t u d i e d b y flux ana lys i s u s ing t h e s t r e a m l i n e coo rd ina t e s . T h e v o r t i c i t y e q u a t i o n c a n b e i n t e g r a t e d a long t h e curv i l inea r coo r d i n a t e p e r p e n d i c u l a r t o t h e s t r eaml ines a n d gives a re la t ion b e t w e e n ve loc i ty a n d flow p a t t e r n s u n d e r t h e k n o w n d i s t r i b u t i o n of e n t r o p y in t h e following fo rm: