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by: Mason Hackett


Mason Hackett
GPA 3.91


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Class Notes
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This 2 page Class Notes was uploaded by Mason Hackett on Wednesday September 9, 2015. The Class Notes belongs to CEE 342 at University of Washington taught by Staff in Fall. Since its upload, it has received 19 views. For similar materials see /class/191981/cee-342-university-of-washington in Civil and Environmental Engineering at University of Washington.

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Date Created: 09/09/15
Example calculation for uid behavior under constant linear acceleration Munson Problem 294 According to the problem statement a l5m deep open tank contains gasoline to a depth of l m The tank is 20 m long We are to nd the maximum acceleration in the direction of the tank length that can be maintained without spilling gasoline I I I I 4 Lquot B A schematic of the system is shown below Because of the steady linear acceleration the surface of the gasoline which will be at a constant pressure of zero gage will have a constant slope that is it will be at but not horizontal The slope of the surface will be given by Equation 228 2 61 dy gaz where z is vertical and y is along the long axis of the tank In the current scenario dz 0 and the maximum allowable slope is dz dy 10 m20 m 05 Therefore dz m m a 981 05 49 ymax gdymx Sz Sz Note that the slope of the uid surface does not depend on any property of the uid The slope would be the same whether the tank was filled with gasoline water mercury or any other liquid Example calculation for uid behavior under constant angular velocity radial acceleration Munson Problem 299 We are to determine the angular velocity that will cause the water lling the tube in the schematic shown below to start to vaporize at pointA At equilibrium the pressure in a rotating uid is given by Munson Equation 233 paer p 7 yz constant Taking the pressure differential between pointA and a point on the water surface at r 4 in which we will refer to as point B we nd w 127125 r inf7zwa The absolute pressure at point B is atmospheric 147 psi and for the uid to boil at pointA the absolute pressure at that point must be the vapor pressure of water which is 0256 psi based on Table BI and assuming T 60 F note that a slightly different value is shown in the table on the inside front cover All the other terms in the equation other than n are known so we can solve for m a er making appropriate unit conversions as follows 2m 2 w pr TrA 1b 1b 14770256144624 10 slugs 1 1b 2 2 194 0333 7 00 1le5 lt gt lt gt 1 The required angular velocity is 141 radianss or 1348 rpm w 141s


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