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Unformatted text preview: SECTION: NAME: CBE 320 October 2 & 3, 2006 Transport Phenomena Exam I Part A: Short Answer 1. (5 pts.) What are the dimensions of the following quantities? a. b. yx c. v d. dv x /dy e. vv 2. (5 pts.) Water flows in the z direction through a channel of rectangular cross-section. The cross-section geome- try is illustrated below. Write an integral expression for the volumetric flow rate Q in terms of the z component of the velocity, v z ( x,y ) . flow out of page water y x l h 1 3. (5 pts.) A cylinder (radius R , length L ) is rotated about its axis with angular velocity in a stagnant, viscous fluid (viscosity , density ). Write an integral expression for the torque required to rotate the cylinder in terms of the appropriate components of the viscous stress tensor . 4. (5 pts.) Which of the following expressions is correct for the drag force on a small, fixed sphere (radius R ) in a uniform flow v ? a. F = 6 R v b. F = 6 R v c. F = 6 R 2 v d. F = 6 v /R 5. (5 pts.) Consider two small spheres with radii R 1 and R 2 falling in a viscous, Newtonian fluid. The secondfalling in a viscous, Newtonian fluid....
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