1.060 Engineering Mechanics II Spring 2021
Problem Set 3
Due on Monday, March 6th
Important note: Please start a new sheet of paper for each problem in the
Problem
problem1 set. Write the names of the group members who contributed to the
solution at the beginning of each problem.
Figure 1: Rectangular duct in Problem 1.
A gate of length h/2 is present in a horizontal wide rectangular duct, as shown in Figure 1.
a) Sketch a flow net using 4 stream tubes.
b) In the figure, v0 and v1 are the velocities in the center of the duct far upstream and far
downstream the gate. Is v0 = v1?
c) Estimate from your flow net the mean velocity slightly below the tip of the gate, vt,
relative to v0.
d) Estimate the pressure slightly below the tip of the gate, relative to the pressure at the
same level far upstream.
3-1
, 3-2
Problem Set 3
Due on Monday, March 6th
Important note: Please start a new sheet of paper for each problem in the
Problem
problem1 set. Write the names of the group members who contributed to the
solution at the beginning of each problem.
Figure 1: Rectangular duct in Problem 1.
A gate of length h/2 is present in a horizontal wide rectangular duct, as shown in Figure 1.
a) Sketch a flow net using 4 stream tubes.
b) In the figure, v0 and v1 are the velocities in the center of the duct far upstream and far
downstream the gate. Is v0 = v1?
c) Estimate from your flow net the mean velocity slightly below the tip of the gate, vt,
relative to v0.
d) Estimate the pressure slightly below the tip of the gate, relative to the pressure at the
same level far upstream.
3-1
, 3-2
