Fluid Mechanics (PHYS2143)
BSc, Physics - PHYS
Semester: First Semester
Level: 200
Year: 2017
REPUBLIC OF CAMEROON THE UNIVERSITY OF BAMENDA
Peace-Work-Fatherland P.O BOX 39 Bambili
School/Faculty: Science Department: Physics Lecturer(s): Dr. Olivier HOLTOMO
Course Code: PHYS2143 Course Title: Fluid mechanics
Date: 04/05/2017 Hall: PBB-06 Time: 14:30-17:30
Instructions: Clarity, Concision and Precautions will be taken into account
Take =1000kg/
for water,
= 10
/
as atmospheric pressure and g=9.8/kg
throughout the question.
Exercise 1: (16marks)
1. What is the Newtonian fluid?
2. Write the Navier Stokes equation. What does it describe?
3. Derive the fundamental equation of hydrostatic.
4. A differential manometer is used to measure the pressure
difference between two points in pipe carrying water. The
manometric liquid is mercury and the points have a 0.3
height difference. Calculate the pressure difference when
ℎ = 0.7. The mass density of water and mercury are
respectively = 10
/
and
= 13.6 × 10
/
.
Exercise 2: (16marks)
A sluice gate consists of a quadrant of a circle of radius 1.5 pivoted at
its center O. The width of the gate is 3 and it has a mass of 6 tones.
When the water is level with the gate, calculate:
1. The magnitude of the resultant hydrostatic force on the gate.
2. The direction of the resultant force.
3. The moment required to open the gate.
Exercise 3: (15marks)
1. Define the Bernoulli fluid
2. Write the equation describing this kind of fluid in the gravity field.
3. A conical tank of height 2 and radius encloses an incompressible fluid
flowing by the nozzle set at the bottom as shown in the figure. The fluid flows
due to the gravitational force and consequently a jet is observed. Supposing no
energy loss in the nozzle and assuming the free surface S of the tank to be still if
the tank is large enough (S >> s) compared to the cross section s of the nozzle,
express the theoretical velocity of the flow, then find the duration of emptying.
Exercise 4: (23marks)
1. A planar flow of water is described by the potential
,
= ln in polar coordinates,
where is a constant.
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