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MID-TERM MAKEUP TEST
1. Consider a two dimensional Non viscous flow (i.e. μ = 0) that impinges on surface as
shown in figure. Assuming the flow to be incompressible, determine vx, given the
velocity in y direction, vy = 4y and vx = 0 at x = 0.
a.
b.
c.
d.
e.
vx = 4x
vx = – 4x
vx = 0
vx= 4
None of the above
2. The velocity profile for steady laminar flow for fluid contained between two parallel
plates with lower plate moving with uniform velocity
a.
b.
c.
d.
e.
Increases linearly from bottom plate to top plate
Decreases linearly from bottom plate to top plate
Increases parabolic from bottom plate to top plate
Decreases parabolic from bottom plate to top plate
None of the above
3. Given a steady incompressible velocity distribution V=3xi + cyj + 0k. When c is a
constant if the conservation of mass is satisfied, the values of c should be
a.
b.
c.
d.
e.
3
3/2
0
-3
None of the above
4. Continuity relation is valid for
a.
b.
c.
d.
e.
Viscous and inviscid fluids
Newtonian and non-Newtonian fluids
Compressible and Incompressible fluids
All of the above
None of the above
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5. When viscous forces are neglected in equation of motion it then becomes
a.
b.
c.
d.
e.
Stokes Law
Euler’s equation
Poiseuille's Equation
Newton’s law of viscosity
None of the above
6. Stream function Ψ has the units of
a.
b.
c.
d.
e.
Cubic foot per second per foot thickness
Cubic foot per second
Cubic foot per foot
Cubic f foot per second per square foot
None of the above
7. In irrotational flow of an ideal fluid
a.
b.
c.
d.
e.
Velocity potential exists
All particles must be in straight lines
Motion must be uniform
Flow is always steady
None of the above
8. The Bernoulli’s equation for steady flow of inviscid fluids is obtained from
a.
b.
c.
d.
e.
Lagrange’s equation
Euler’s equation of motion
Continuity equation
Equation of angular momentum
None of the above
9. The shape of the surface of a liquid in a cylinder rotating about its axis is dependent on
a.
b.
c.
d.
e.
Angular velocity of the cylinder
Density of the liquid
Viscosity of the liquid
Both velocity and density
None of the above
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10. In the following diagram, one artery bifurcates into two as shown. Given the
diameters as shown in the figure, if the velocity of the fluid must be the same in all the
three arteries which is the necessary condition?
D2
D1
D3
a.
b.
c.
d.
e.
D1= D2 + D3
D1 = D2 = D3
D12 = D22 + D32
D1= D2 × D3
None of the above
11. Consider a steady, incompressible tangential flow in the annular region between two
concentric cylinders. The outer cylinder has radius of ‘R’ and the inner cylinder has
radius of ‘r’. The outer cylinder rotates with a constant angular velocity Ώ and the inner
cylinder is stationary. The cylinders are considered infinitely long in the z-direction and
the flow is asymmetric. The fluid is Newtonian and of constant viscosity. The boundary
conditions for the flow are
a.
b.
c.
d.
e.
Vθ(R) = RΏ and Vθ(r) = 0
Vθ(R) = 0 and Vθ(r) = rΏ
Vθ(R) = RΏ
Vθ(r) = 0
None of the above
12. The surfaces of two immiscible liquids of different densities and different viscosities
in the above mentioned case are
a.
b.
c.
d.
e.
Both are paraboloid.
One is paraboloid and the other is a flat surface.
Both are flat surfaces
Both are spherical and concentric.
None of the above
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13. The physical meaning of fully developed flow , is when
a) The flow is roughly unidirectional
b) The components of velocity are not in that direction and can be ignored
c) You can also ignore velocity derivatives along the flow direction.
d) all of the above
e) none of the above
14. When two immiscible liquids of different viscosities and densities are flowing with a
common interface through a conduit, the particles of higher velocities are located
a.
b.
c.
d.
e.
at the interface of both the fluids
at the interface of one of the fluids and the walls of the conduit
inside one of the fluids
inside both the fluids
None of the above
15. Shell balances are useful devices for applying the principle of conservation of
momentum when
a.
b.
c.
d.
e.
Fluid flow occurs in two different directions in the system
Irrespective of the fluid flow direction
Fluid flow occurs in one single direction every where in system
Fluid flow is random
None of the above
16. The dimension formula of viscosity is
a.
b.
c.
d.
e.
M L-1T-1
MLT-1
ML2 T-1
ML-1T-2
None of the above
17. The velocity of fluid at the surface of a boundary layer is
a.
b.
c.
d.
e.
maximum
minimum
zero
critical
none of the above
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18. In a Newtonian fluid,
a.
b.
c.
d.
e.
Shear Stress is inversely proportional to velocity
Shear stress is directly proportional to velocity
Shear stress is zero
Velocity is zero
None of the above
19. A vector field is called irrotational if
a.
b.
c.
d.
e.

v  0

v  0

.v  0

.v  0
None of the above
20. Normal Condition for blood flow through most of the circulatory system is
a.
b.
c.
d.
e.
Turbulent
Laminar
Open channel
Steady
None of the above
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