MECH 361 Lecture Notes - Lecture 17: Roll-Off, Polar Coordinate System, Cylindrical Coordinate System

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- s om e p r a c t i c a l p o t e n t i a l f l ow c a s e s. The potential flow over a stationary circular cylinder can be formed through the superposition of a rectilinear flow and a doublet. The potential and stream functions for this combination is given by, + constant = u r cos - + constant = u r sin - From the stream function = o = constant, on the polar coordinate system we have, 2 r o sin = 0. For this equation to be zero, either the expression in the parenthesis is zero, or the sine function is zero or both are zero, sin ( ) = 0. = 0 or = y. Schematic of o and coordinate system for a stationary cylinder. The above expressions represent the positive and the negative x-axis respectively.

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