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CE 3305 Engineering Fluid Mechanics
Spring 2023 Exercise Set 2
LAST NAME, FIRST NAME
R00000000
Purpose :¶
Apply definition of viscosity in Newtonian fluid. Apply principles of capillarity in a glass-air-water system.
Assessment Criteria :¶
Completion, plausible solutions, use Jupyter Notebook as a calculator
Problem 1 (Problem 1-30 pg. 34).¶
The plate is moving at 0.6 mm/s when the force applied to the plate is 4mN. The surface area of the plate in contact with the liquid is 0.5 m$^2$.
Determine:
- The approximate viscosity of the liquid, assuming the velocity profile is linear.
sketch here
list known quantities
list unknown quantities
governing principles
solution (step-by-step)
# code cell(s) here
discussion
Problem 2 (Problem 1-49 pg. 37).¶
The tube rests on a 1.5-mm-thick film of lubricant having a viscosity of $\mu = 0.0586~\frac{N \cdot s}{m^2}$. The tube is rotating at a constant angular velocity of $\omega = 4.5~rad/s$
Determine:
- The torque $T$ that must be applied to maintain the motion. (Assume the velocity profile in the lubricant is linear)
sketch here
list known quantities
list unknown quantities
governing principles
solution (step-by-step)
# code cell(s) here
discussion
Problem 3. (Problem 1-59 pg. 39)¶
Water is at temperature of 30$^o$ C. A pair of glass plates is lowered into the water as shown.
Determine:
- The height, $h$, of the water as a function of the gap, $w$, between the two glass plates, for a surface tension of $\sigma = 0.0718~N/m$
- Plot the height, $h$, versus the width the gap, $w$, in 0.4 mm increments starting at $w=0.4~mm$
| Width $w$ (mm) | Height $h$ (mm) |
|---|---|
| 0.4 | ?? |
| 0.8 | ?? |
| 1.2 | ?? |
| 1.6 | ?? |
| 2.0 | ?? |
| 2.4 | ?? |
sketch here
list known quantities
list unknown quantities
governing principles
solution (step-by-step)
# code cell(s) here
discussion
