ECH%203264_Sp2007_Quiz2

ECH 3264_Sp2007_Qu - 2 40 pts A conveyor belt of width W emerges vertically with a constant velocity V from a liquid bath as shown below As the

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ECH 3264: Spring 2007 Quiz#2 March 2, 2006 Name This is a closed book and notes quiz. Make clear all assumptions you make and show your work to get credit. Start a new problem on a new page and only use the front of a page. 1. 20 pts (a) Give the definition of the Reynolds number in terms of the ratio of two forces. (5 pts) (b) What is the units of the Re number? (5 pts) (c) You have a fluid with Re >> 1 in a cylindrical container. You place an ink blot in the liquid and rotate the outer surface of the cylindrical (see figure below) for several turns. Do you expect to be able to reverse the changes to the ink blot (ignore mass diffusion effects) by rotating in the opposite direction? (5 pts) Justify your answer with a physical explanation. (5 pts)
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Unformatted text preview: 2. 40 pts A conveyor belt of width W emerges vertically with a constant velocity V from a liquid bath as shown below. As the belt rises, the liquid, which is Newtonian and incompressible ( ρ and μ ), forms a thin film of thickness δ on each side of the belt. You may assume that δ does not change with height and edge effects are negligible. By means of the shell balance technique, find a relationship for the liquid loading Γ ( i.e., mass/time-belt width) as a function of film thickness and belt velocity. Show all steps taken clearly to receive partial credit. Figure 1. A schematic illustration of a conveyor belt moving at velocity V though a liquid bath. Side view Top view x y δ liquid bath conveyor belt V V...
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This note was uploaded on 08/30/2009 for the course ECH 3264 taught by Professor Asthagiri during the Spring '09 term at University of Florida.

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