B.TECH 3RD SEM.
FLUID MECHANICS -1
PAPER: CE -205 –F
DEC-2010
SECTION - A
Q.NO. 1 (a).
Define the fluid properties density , sp.
Weight , surface tension , and sp. Volume.
04
Q.NO. 1 (b).
Derive an equation for
the capillary depression of water in a glass tube immersed in mercury. 06
Q.NO. 1(c).
A rectangular plate of size 25 cm by 50 cm
and weighing 250 N slides down a 30ᵒ inclined surface at a uniform velocity of 2 m/s. If the uniform 2 mm gap b/w the
plate and inclined surface is filled with oil. Determine the viscosity of oil.
10
Q.NO. 2(a) Define the following lines of flow :-
( I ) stream line.
(ii) streak line
(iii ) path line.
2×3= 06
Q.NO. 2(b) Write four properties of flow net.
04
Q.NO. 2(c) Two velocity components are given below.
Find the third component such that they satisfy continuity equation.
(i) u = x3+y2+2z2 , and v = x2y – yz - xy
(ii) u = 2x2
+ 2xy , and w = z3 – 4xz –
2yz
5×2=10
SECTION –B
Q.NO. 3(a) Draw a neat
sketch to show the absolute zero pressure , absolute pressure , gauge pressure , vacuum pressure and atmospheric
pressure.
04
Q.NO. 3(b) The pressure
due to an oil of height ‘ h ‘ meter is 2×104 N/m2. The
specific gravity of oil is 0.9 . Find the height of oil ‘h ‘ in meters.
06
Q.NO. 3(c) Explain with neat sketches of the following
:-
( i) Piezometer
(ii) U tube manometer
(iii) Single column
manometer
10
Q.NO. 4(a) A triangular gate which
has base of of 1.5 m and an altitude of 2m lies in a vertical plane and tank
which contains oil of specific gravity of oil
is 0.8 . Find the total pressure exerted by the oil on the gate and the
position of the centre of the pressure.
10
Q.NO. 4(b) A wooden block of rectangular section 1.25 m
wide , 2m deep and 4m long floats horizontally in sea water . if the specific
gravity of wood is 0.64 and water weighs 10055 N/m3 , find the
volume of the liquid displaced and the position of the centre of buoyancy.
10
SECTION-C
Q.NO. 5(a) Explain
venturimeter and orifice meter with sketches.
10
Q.NO.
5(b) A 0.3m pipe carries water at a
velocity of 24.4 m/s . At point A and B measurements of pressure and elevations
were respectively 361 KN/m2 and 288 KN/m2 and 30.5m and
33.5m . For steady flow, find the loss of head b/w A and B.
10
Q.NO. 6(a) Define the following;
( I ) Coefficient of velocity
( ii )
Coefficient of Contraction
( iii ) Coefficient of Discharge
2×3 = 06
Q.NO. 6(b) A
rectangular notch of crest length 0.4m is used to measure the flow of water in
a rectangular channel 0.6m wide and 0.45m deep. If the water level in the
channel is 0.225m above the weir crest , find the discharge in the channel for
the following two cases.
For the
notch assume coefficient of discharge ( Cd ) = 0.63
( i)
Neglecting velocity of approach 06
(ii) Taking
into account velocity of approach
08
SECTION –D
Q.NO. 7(a)
Explain the following :
(i) Boundary
layer thickness
(ii) Laminar
boundary layer
(iii)
Turbulent boundary layer
(iv) Laminar
sub layer
3×4 =12
Q.NO. 7(b)
Explain the separation of boundary layer.
08
Q.NO. 8(a) Explain the following :
(i)
Geometric similarity
(ii)
kinematic similarity
(iii)
Dynamic similarity
3×3 = 09
Q.NO. 8(b)
Describe the following :
(i)
Undistorted models
(ii)
Distorted models
3
+ 08 = 11
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