DEBRE MARKOS UNIVERSITY
TECHNOLOGY COLLEGE
MECHANICAL ENGINEERING DEPARTMENT
FLUID MECHANICS (MENG 2113) TEST
Exam Date: 03-May-2019 Time Allowed: 2.5 hrs
Examiners: Addisu D. & Manohar R. Total Marks Allocated: 20
INSTRUCTIONS:
You can start from any question.
Show all your steps clearly.
Draw diagrams and sketches clearly
State your assumptions clearly if any.
Any form of cheating will result in automatic dismissal from the exam room and
cancelation of the marks that you might get in the exam.
Name: _____________________________ ID.No.________________ Sec._______
For Examiner’s use only
Q# Q1 Q2 Q3 Q4 Total (20%)
Marks
Obtained
Fluid Mechanics Mid-exam 04/05/2019
1. If the velocity distribution over a plate is given by
𝑢 = 2𝑦 − 𝑦 2
where u is velocity in meter per second at a distance y meters above the plate, determine
the velocity gradient and the shear stress at
i. the boundary, y = 0 and
ii. y= 0.15 m.
Take dynamic viscosity of fluid as 9 poises. (3 Points)
2. A triangular plate of 1 meter base and 1.5 meter height as shown in figure 1 is immersed
in water. The plane of the plate is inclined at 30o with the free surface and the base is
parallel to and at a depth of 2 meters from the water surface. Find the total pressure on the
plate and the position of the center of pressure. (4 Points)
Fig. 1
DMU, Mechanical Engineering Department 1
Fluid Mechanics Mid-exam 04/05/2019
3. Air flows steadily through the variable area pipe shown in Fig.2. Determine the flowrate
if viscous and compressibility effects are negligible. (5 Points)
Fig. 2
4. A converging elbow turns water through an angle of 135 o in a vertical plane as shown in
Fig. 3. The flow cross section diameter is 400 mm at the elbow inlet, section (1), and 200
mm at the elbow outlet, section (2). The elbow flow passage volume is 0.5 m3 between
sections (1) and (2). The water volume flowrate is 0.3 m3/s and the elbow inlet and outlet
pressures are 300 kPa and 200 kPa. The elbow mass is 50 kg. Calculate the horizontal (x
direction) and vertical (z direction) anchoring forces required to hold the elbow in place.
(8 Points)
DMU, Mechanical Engineering Department 2
Fluid Mechanics Mid-exam 04/05/2019
DMU, Mechanical Engineering Department 3