Unformatted text preview: with a polar coordinate system. 4. (15 pts) Which of the following velocity fields satisfies conservation of mass for an incompressible fluid? a) u = x 3 sin y + x cos z , v = 3x 2 cos y –y 2 z, w = -sin z+zy b) u r = (1/2)rz 2 sin 2 θ , u θ = rz 2 sin θ cos θ , u z = (r 2 + z 3 )(-(1/3)cos 2 θ) c) u r = r 2 /(2Ф) + rФ cos θ , u θ = (3rФ cos 2 θ)/(2 sin θ), u Ф = -2r 2 ln Ф sinθ...
View Full Document
This note was uploaded on 03/07/2011 for the course AE 311 taught by Professor Dutton,j during the Spring '08 term at University of Illinois, Urbana Champaign.
- Spring '08