CE 3305 Engineering Fluid Mechanics
Spring 2024 Exam 2
LAST NAME, FIRST NAME
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Purpose :¶
Demonstrate ability to apply fluid mechanics and problem solving principles covering topics such as: Continunity of mass, linear momentum, and energy; defintition of discharge; Bernoulli's equation.
Problem 1¶
The pipe below transports 200 kg/s of water. The pipe tees into a 5-cm-diameter pipe and a 7-cm-diameter pipe. The average velocity in the smaller-diameter pipe (5-cm-diameter pipe) is 25 m/s,
Determine:
- The flow rate in the larger pipe (7-cm-diameter pipe).
sketch(s) here
list known quantities
list unknown quantities
governing principles
solution (step-by-step)
# script (code) here
discussion
Problem 2¶
The figure is a schematic of a rocket testing sled. The sled is held in place by a force $F$. The nozzle is a 0.8 $cm$ diameter tube, and a jet exits the nozzle with a speed of 45 $m/s$ and a density of 1.2 $kg/m^3$.
Determine:
- The force $F$ needed to hold the sled stationary.
sketch(s) here
list known quantities
list unknown quantities
governing principles
solution (step-by-step)
# script (code) here
discussion
Problem 3¶
A vertical pipe with a smooth-transition reducer is monitored by a mercury manometer system as shown.
Find the velocity V1 of the water in the vertical pipe shown below. Assume no head losses.
Determine:
- The approach velocity $V_1$ of the water in the vertical pipe; Assume negligible head losses (smooth-transition)
sketch(s) here
list known quantities
list unknown quantities
governing principles
solution (step-by-step)
# script (code) here
discussion
Problem 4¶
A fluid with a specific weight of 2700 N/m$^3$ flows in a 24-cm-diameter pipe with the velocity profile shown below (i.e., the velocity increases linearly from zero at the pipe wall to a maximum at the center of the pipe).
Determine:
- The volumetric discharge in the pipe if the maximum velocity at the center of the pipe ($V_{max}$) is 20 m/s.
sketch(s) here
list known quantities
list unknown quantities
governing principles
solution (step-by-step)
# script (code) here
discussion
Problem 5¶
A pipe discharges to the atmosphere just downstream of a plug as shown below.
Determine:
- The force ,$F$, needed to hold the circular plug in the pipe as shown. Assume uniform velocity profiles; Neglect viscous effects.
sketch(s) here
list known quantities
list unknown quantities
governing principles
solution (step-by-step)
# script (code) here
discussion