Ankara University Department of Energy Engineering
ENE 206 Fluid Mechanics - Midterm I
11.04.2018
Question 1:
Consider one-dimensional, steady, incompressible fluid with a density of ρ =1000 kg/m3
flowing through a pipe with a radius of R = 0.15 m. The velocity distribution in the pipe,
which is shown below in Figure 1, is given by Vz  3  20r . Determine the mass flow rate,
volumetric flow rate, average velocity and the shear stress distribution (25 Points)
r
z
Figure 1
Question 2:
The system below (Figure 2) is open to atmospheric pressure (105 Pa) on its right side
a) If L = 120 cm, what is the air pressure in Container A? (10 Points)
b) Conversely, if PA = 135 kPa, what is the length L? Assume the density of
water and mercury are 1000 kg/m3 and 13600 kg/m3, respectively (15 points)
The density of the air is 1.2 kg/m3.
Figure 2
Question 3:
The gate having a width of 3 m is in equilibrium at an angle of 60 as shown in Figure 3.
Neglecting the weight of the gate, find the depth, d, of the water.
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Figure 3
Question 4:
An incompressible and inviscid fluid with a density of 1000 kg/m3 is flowing through the
diverging channel as shown in Figure 4. The cross-sectional areas of sections 1 and 2 are
0.001 m2 and 0.005 m2, respectively. The velocity and the pressure at section 1 are 10
m/s and 150 Kpa, respectively, while the pressure at section 2 is 198 kPa. Assuming
uniform flow at both sections, determine
a) the velocity at section 2 (10 Point)
b) the force exerted on the diverging channel (15 Points)
Figure 4
Time duration of the exam is 110 minutes.
Prof. M. Tutar
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