Fluid Mechanics (PHYS2143)
BSc, Physics - PHYS
Semester: Resit
Level: 200
Year: 2017
THE UNIVERSITY OF BAMENDA FACULTY OF SCIENCE
DEPARTMENT OF PHYSICS
Resit exam 2016/2017
Fluid Mechanics: PHYS2143 Duration: 2h
Dr. Olivier HOLTOMO
Exercise 1: (5marks)
1. Give the differences between Newtonian and non-Newtonian fluid.
2. What causes a surface tension? Reason with a diagram.
3. Explain why the hot water is the better wetting agent for bathing.
4. Define bulk modulus of elasticity and find it for a fluid behaving as
, where and
are respectively pressure and volume of fluid.
Exercise 2: (4marks)
1. Write the Navier Stokes equation. What does it describe?
2. Deduce the fundamental equation of fluid static,
3. Find the equation of the free surface of a liquid in a container moving in a linear rigid body
acceleration .
Exercise 3: (2marks)
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
height difference. Calculate the pressure difference when
. The mass density of water and mercury are
respectively
and
Exercise 4: (5marks)
A steady two-dimensional velocity field is given by
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" #
$
%
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" # $
'
&
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where the x-
and y-coordinates are in and the magnitude of velocity is in (.
1. Is this flow field incompressible? Justify your answer.
2. Determine if there are any stagnation points in this flow field, and if so, where are they
localized?
3. Find the strain rate tensor in the x- and y-directions. Is this fluid deformable?
4. Find the rate of rotation )
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of the flow. Does the potential velocity exist?
Exercise 5: (4marks)
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The face of a dam retaining water is shaped according to the
relationship
*
as shown in the figure. The height of the
water surface above the bottom of dam is #. Take g=9.8(
and +
,-
=0. Determine the magnitude of the resultant water
pressure per meter breadth.
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