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CE 3305 Engineering Fluid Mechanics
Spring 2024 Exam 1
LAST NAME, FIRST NAME
R00000000
Purpose :¶
Demonstrate ability to apply fluid mechanics and problem solving principles covering topics such as: Fluid properties, viscosity, vapor pressure, fluid statics and pressure.
Problem 1¶
Argon gas is used as a sheilding gas for welding for fabrication of metal objects. A 160-liter tank has an empty weight of 40 kg.
Determine:
- The total weight of the 160-liter tank of argon at a pressure of 3,500 psia at a temperature of 293$^o$K.
sketch(s) here
list known quantities
list unknown quantities
governing principles
solution (step-by-step)
# script (code) here
discussion
Problem 2¶
A fixed mass of water has a bulk modulus of compressibility of $2.2 \times 10^{9} ~Pa$.
Determine:
- The pressure increase (∆p) required to reduce the volume of a mass of water by 2-percent (2 %)
sketch(s) here
list known quantities
list unknown quantities
governing principles
solution (step-by-step)
# script (code) here
discussion
Problem 3¶
The figure below is a schematic of a sliding plate viscometer used to measure the viscosity of a fluid. The top plate is moving to the right with a constant velocity of 10 meters per second in response to a force of 3 Newtons.
Determine:
- The viscosity of the fluid between the plates.
sketch(s) here
list known quantities
list unknown quantities
governing principles
solution (step-by-step)
# script (code) here
discussion
Problem 4¶
A small spherical drop of water with diameter $d=4~mm$ and surface tension ($\sigma = 72.8 \times 10^{-3} \frac{N}{m}$) is depicted in the drawing below.
Determine:
- The gage pressure of the water in the drop.
sketch(s) here
list known quantities
list unknown quantities
governing principles
solution (step-by-step)
# script (code) here
discussion
Problem 5¶
A liquid with specific weight of 2700 N/m$^3$ is restrained by a circular gate as ahown.
The dimensions of interest are: R = 1.5 m, H = 6 m, Gate width (into the plane of the image) b = 3 m.
Determine:
- The liquid pressure at the hinge.
- The liquid pressure at the bottom of the gate
- The horizontal and vertical force of the liquid acting on the circular gate
sketch(s) here
list known quantities
list unknown quantities
governing principles
solution (step-by-step)
# script (code) here
discussion