CHEE 3363 - Fluid Mechanics Fall, 2009 Assignment 1 Due: Wednesday, September 2, 2009 Problems from Fox et. al.Chapter 1: Problems 1.8, 1.17, 1.25, 1.29 Other problems based on lecture notes1.Given a velocity field vin cylindrical coordinates, i.e., k ,rrzvv ev evθθ=++determine (,)(,)xxryyrvvvvvvvvθθ==2.Check the relations in the notes that relate the base unit vectors in spherical coordinates with the base vectors in rectangular coordinates. Correct these as necessary and use these relations to determine (,,)(,,)xxryyrvvvvvvvvvvθφθφ==3.Given: 2i3k2i3 jkij2kABC=+=++=+−Find: (a) 2(); check if this is equal to 2().(b) (magnitude of )(c) (d) (e) The unit vector perpendicular to and and in the direction of a screw turning from DABBADDEA BFABAC=++=⋅=×to (f) The vector projection of on the plane formedby and ACCAB
This preview has intentionally blurred sections.
Sign up to view the full version.