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Assignment 1 - CHEE 3363 Fluid Mechanics Fall 2009...

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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 notes 1. Given a velocity field v in cylindrical coordinates, i.e., k , r r z v v e v e v θ θ = + + determine ( , ) ( , ) x x r y y r v v v v v v v v θ θ = = 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 ( , , ) ( , , ) x x r y y r v v v v v v v v v v θ φ θ φ = = 3. Given: 2i 3k 2i 3 j k i j 2k A B C = + = + + = + 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 D A B B A D D E A B F A B A C = + + = = × to (f) The vector projection of on the plane formed by and A C C A B
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