# TAMU MEEN 344 - Midterm #1 (5 pages)

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## Midterm #1

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- Pages:
- 5
- School:
- Texas A&M University
- Course:
- Meen 344 - Fluid Mechanics

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MEEN 344 Fluid Mechanics Midterm Exam I October 9 2012 Closed book closed notes 8 00am to 8 50am Name Lastname Score on the test On my honor as an Aggie I have neither given nor received unauthorized aid on this academic work Signature 1 A 30 cm diiameter circu ular plate is placed overr a fixed botttom plate wiith a 0 25 cm m gap betweeen the two plates filled d with glyceerin as show wn in figure Determine tthe torque rrequired to rrotate the cirrcular plate slowly at 2 rpm Assum me that the velocity v distrribution in thhe gap is linnear and thatt the shear sttress on the edge of the rotating plaate is negligib ble 2 wherre Thus 2 2 where w and 2 1 5 2 2 0 25 100 0 1 4 1 6 60 15 100 2 The rectang gular gate CD of figure is 1 8 m wid de and 2 0 m long Assuuming the maaterial of thee gate to be homogeneo ous and negllecting friction at the hin nge C deterrmine the weeight of the gate necessaary to keep it shut untill the water leevel rises to 2 0 m abovee the hinge 2 where w 9 80 0 2 8 1 8 8 1 8 1 2 2 1 8 For equ uilibrium 2 8 2 98 8 1 where 1 12 3 5 3 2 2 3 5 3 5 Thus T so tthat 3 595 0 where w FD 0 to obtain minimum w weight 3 5 2 4 5 2 0 18 80 3 Water flows steadily from a nozzle into a large tank as shown in figure The water then flows from the tank as a jet of diameter d Please determine the value of d if the water level in the tank remains constant Viscous effects are negligible 1 2 4 3 Applying Bernoulli s equation for 1 and 2 1 2 where and where 0 444 0 03 5 41 2 Hence or 1 2 m 4 whereas so that From the above equations 0 and 0 0038 2 9 91 3 43 0 037 0 0038 5 41 0 3 3 43 0 9 hence 4 Water flow ws through th he 2 m wide rectangular channel shoown in figuree with a unifform velocitty of 3 m s If b 1 pllease determ mine the masss flowrate k kg s at crosss section CD D of the conttrol volume 1 cos cos cos hence 0 5 0 cos c 2 3 coss 1 coss 2 1 cos 3000 999

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