Problem 1 Given a steady flow, where the velocity is described by: u = 3 cos(r) +2ry v = 3 sin(y) +2ry a) Find the stream function if it exists. b) Find the potential function if it exists. c) For a square with opposite diagonal corners at (0,0) and (4r, 27), evaluate the circu- lation I = - f V ds where c is a closed path around the square. d) Calculate the substantial derivative of velocity at the center of the same box.

Problem 1 Given a steady flow, where the velocity is described by: u = 3 cos(r) +2ry v = 3 sin(y) +2ry a) Find the stream function if it exists. b) Find the potential function if it exists. c) For a square with opposite diagonal corners at (0,0) and (4r, 27), evaluate the circu- lation I = - f V ds where c is a closed path around the square. d) Calculate the substantial derivative of velocity at the center of the same box.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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