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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. μ b. τ yx c. v φ d. dv x /dy e. ρ vv 2. (5 pts.) Water flows in the z direction through a channel of rectangular crosssection. The crosssection 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 Ω in a stagnant, viscous fluid (viscosity μ , density ρ ). Write an integral expression for the torque required to rotate the cylinder in terms of the appropriate components of the viscous stress tensor τ . 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 πμR v ∞ b. F = − 6 πμR v ∞ c. F = 6 πμR 2 v ∞ d. F = 6 πμ 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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 Fall '08
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 Fluid Dynamics, vx vy vz, vx vz xz

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