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Material Type: Exam; Class: Civil and Environmental Engineering Fluid Mechanics; Subject: Civil & Environmental Engr; University: Utah State University; Term: Fall 2005;
Typology: Exams
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Name:___________________________________________________
[1]. A spillway model is to be built to a scale of 1:25 across a flume that is 2 ft wide. The prototype is 37.5 ft high, and the maximum head expected is 5.0 ft. If the flow over the model at 0.20 ft head is 0.70 cfs , what is the flow per unit width (in ft 2 /s ) in the prototype?
Solution: q = __________________________________.
Name:___________________________________________________
[2]. The discharge per unit length q = Q/B over a rectangular weir depends on the approach depth H and on the acceleration of gravity g. (Here, Q is the discharge and B is the width of the weir). First, using dimensional analysis, form a Π (Pi) term involving the parameters q , H , and g. Then, using the definition of the unit discharge, namely, q = Q/B , and making the Π term equal to a constant C ,obtain an expression for the discharge Q.
Solution: Q = _____________________________
Name:___________________________________________________
[4]. For the pump-pipeline-reservoir system shown in the figure the following data are provided: Q = 2.0 cfs , L = 1250 ft , D = 0.50 ft , e = 0.0001 in , K (^) e = 0.8 , K (^) v = 1.8 , and K (^) d = 1.0. The graph below shows the pump curve with hP ( ft ) and Q ( cfs ). Using Swamee- Jain's equation to calculate the friction factor, determine the value of the difference of
