Download (right-click, save target as ...) this page as a Jupyterlab notebook from: ES-9

CE 3305 Engineering Fluid Mechanics
Summer 2022 Exercise Set 9

LAST NAME, FIRST NAME

R00000000

Purpose :

Application of Momentum Principles.

Assessment Criteria :

Completion, plausible solutions, use JupyterLab as a calculator.

Problem 1.

Figure 1: Balloon rocket

Figure 1 is a balloon rocket held in place by a force $F$.
The nozzle is a 0.8 $cm$ diameter tube, and an air jet exits the nozzle with a speed of 45 $m/s$ and a density of 1.2 $kg/m^3$. Find the force $F$ needed to hold the balloon stationary.

In [ ]:
# list known quantities
In [ ]:
# list unknown quantities
In [ ]:
# governing principles
In [ ]:
# solution (step-by-step)
In [ ]:
# sketch here
In [ ]:
# discussion

Problem 2.

Figure 2 is a schematic of an elbow fitting in a pipe system. The gage pressure throughout the horizontal 90$^o$ bend (the elbow lies in the horizontal plane -- the figure is a plan view of the bend) is 300 $kPa$.
If the pipe diameter is 1 $m$ and the water (at 10 $^oC$) flow rate is 10 $m^3/s$, what $x-$component of force must be applied to the bend to hold in in place against the water action.

Figure 2: Pipe elbow
In [ ]:
# sketch here
In [ ]:
# list known quantities
In [ ]:
# list unknown quantities
In [ ]:
# governing principles
In [ ]:
# solution (step-by-step)
In [ ]:
# discussion

Problem 3.

Figure 3: Jet exiting a tank

Figure 3 is a schematic of a horizontal water jet from a tank at 70 $^oF$ exits from a circular orifice and strikes a vertical plate that is normal to the axis of the jet. A 600 lbf force is required to hold the plate in place against the jet; the pressure in the tank at point A is 25 psig. What is the diameter of the jet downstream of the orifice?

In [ ]:
# sketch here
In [ ]:
# list known quantities
In [ ]:
# list unknown quantities
In [ ]:
# governing principles
In [ ]:
# solution (step-by-step)
In [ ]:
# discussion