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Fluid Mechanics
Mechanics-II (FM-II) Assignments
 Assignment No. 1
1. State Major and Minor Losses in Pipes.

(Dec 2014)

2. Derive an expression for Darcy’s Weisbach Formulae.

(May 2014, Nov 2013)

3. In a 100 mm diameter pipeline an oil of specific gravity 0.9 is flowing at the rate of
0.0125 m3/s.. A sudden expansion takes place into a second pipe line of such diameter
that maximum pressure is obtained. Find the loss of energy in sudden expansion.
4. Explain
n Hydraulic gradient line and Total energy line.

(May 2014)

5. A 300mm diameter horizontal pipe is suddenly enlarged to 600mm .the rate of flow of
water through pipe is 0.5 m3/s. if the intensity of pressure in smaller pipe is 120
KN/m2. Determine.
i.
ii.
Intensity of pressure in larger pipe.
iii.
Power lost due to enlargement.
(May 2014)
6. Three pipes of diameters 300mm, 200mm,
200mm, and 400mm and length 450m
450m, 255m, and
315m respectively are connected in series. The difference in water surface levels in
two tanks is 18m. Determine
etermine the rate of flow if coefficients
coefficients of friction are 0.0075,
0.0078, and 0.0072 respectively considering.
i.
Minor losses also and
ii.
Neglecting minor losses.
(May 2014)

Update:
Nilesh Deokar
9821540802

Bhushan Borole
9892703175

8097260574

 Assignment No. 2
1. Define nozzle and its uses.
2. Show that the diameter of nozzle for maximum transmission of power is given by,
d = (D5/8fL)1/4
d= diameter of nozzle
D= diameter of pipe
F= friction coefficient
L= length of pipe.
3. A nozzle is fitted to a pipe 130 mm diameter and 300m long with coefficient of
friction as 0.01. If the head available at the nozzle is 150 m. find the diameter of
nozzle and maximum power transmitted by jet of water freely out of a nozzle. (Nov
2013)

 Assignment No. 3
1. Explain Water hammer with control Measures. (QP Code : NP-19859-May
NP
May 2014,QP
Code:12754-Dec 2014)
2. Show that the pressure rise due to sudden closure of valve at the end of pipe through
which water is flowing is given by P=
(QP Code:12754-Dec
Dec 2014)
3. Calculate the discharge in each pipe of the network shown in figure below by Hardy
cross method. Take n=2
(QP Code:12754-Dec
Dec 2014)
4. Derive the Expression for the pressure rise due to Gradual closure of valve at the end
of pipe through which water is flowing.

Update:
Nilesh Deokar
9821540802

Bhushan Borole
9892703175

8097260574

 Assignment No. 4
1. What is Mach number? Why is this parameter so important for the study of flow of
compressible fluids? (QP Code : NP-19859-May
NP
2014,QP Code:12754-Dec
Dec 2014, LJ
LJ10479- Nov 2013, GN-5447
5447- Dec 2012, RK-1782-May 2011)
2. Prove that velocity of sound wave in a compressible fluid id given by C=
Where K and ρ are bulk modules and density of fluid respectively.
3. Explain Mach Cone.
4. Prove the following relationship for one dimensional compressible flow
(QP
QP Code: 12754-Dec
12754
2014)
5. Derive an Expression for Stagnation temperature and Stagnation Density.(
Density.(QP
Code:12754-Dec 2014)
6. Find the Mach number when an aero plane is flying at 900 km/hour through still air
having a pressure of 8 N/cm
/cm2 and temperature – 15oC. Take k=1.4 and R= 287 J/kg K.
Calculate the pressure, Density and temperature of air at the Stagnation point on the
nose of plane. (QP
QP Code:12754-Dec
Code:12754
2014)
7. A projectile is travelling in air having pressure and temperature as 8.829
8.829 N/cm2 and o
o
5 C. if Mach angle is 30 , find the velocity of projectile. Take k=1.4 and R= 287 J/kg
K. (QP Code:12754-Dec
Dec 2014)
2014
8. Define Subsonic, Sonic and Supersonic Flow. (QP Code LJ-10479-Nov
LJ
Nov 2013)
9. What is kinetic energy correction factor and momentum correction factor? (QP
Code:NP-19859-May
May 2014)
10. Air has a velocity of 1000 km/hr at a pressure of 9.81 kN/m2vaccum and a
temperature of 47o C. Compute its stagnation properties and the local Mach number.
Take atmospheric pressure= 98.1 kN/m2, R=2877 J/kg, and K=1.4 (QP Code: MV
MV18822- May 2014)

Update:
Nilesh Deokar
9821540802

Bhushan Borole
9892703175

8097260574

 Assignment No. 5
1. Derive Hagen Poiseuille Law for flow of viscous flow in circular pipes. ((QP
Code:12754-Dec
Dec 2014)
2014
2. A lubricating oil of viscosity 1 poise and specific gravity 0.9 is pumped through a
30mm diameter pipe. If the pressure drop per meter length of pipe is 20 kN/m2,
determine:
i)
The mass flow rate in kg/min,
ii)
The shear stress at the pipe wall,
iii)
The Reynolds number of flow and,
iv)
The power required per 50 m length of the pipe to maintain the flow.
(QP Code: NP-19859-May
NP
2014, QP Code: 12754-Dec 2014))
3. Derive an expression for the coefficient of viscosity in case of dashpot
arrangement.(QP Code: NP-19859-May
NP
2014)
4. Two parallel plates kept 10cm apart have laminar flow of oil between them with a
maximum velocity of 2m/s. Calculate.
i)
The discharge per meter width
ii)
The shear stress at the plate.
iii)
The difference in pressure between two points 20 m apart.
iv)
The velocity gradient at the plates.
v)
The velocity at 20 mm from plate. Assume viscosity of oil as 20 poise.
(QP Code: MV-18822MV
May 2014)
5. Oil of specific gravity 0.9 is pumped through a horizontal pipeline 200 mm in
diameter and 3km long at the rate of 0.015 m3/s. the pump has an efficiency of 68
% and requires 7.5 kW to pump the oil. What is the dynamic viscosity
viscosity of oil and
whether the flow is laminar or not? (QP Code: MV-18822MV
May 2014)
6. Show that the discharge per unit width between two parallel plates ,distance ‘b’
apart, when one plate is moving at velocity ‘V’ while the other is held stationary,
for the condition of zero shear stress at the fixed plate is: q = b (QP Code
Code-RK1782-May 2011)
7. What are the important characteristics of laminar flow? Give Examples where
such a flow is encountered. (QP Code-RK-1782-May
Code
2011)
Update:
Nilesh Deokar
9821540802

Bhushan Borole
9892703175

8097260574

 Assignment No. 6
1. Write
rite short note on Moody’s Diagram
Diagram(QP Code-RK-1782-May
May 2011,QP
2011,
Code:NP-19859-May
May 2014)
2014
2. Describe in Detail hydro dynamically smooth and rough boundaries. what is
Karman- Prandtl equation for Hydro dynamical rough Boundaries. (QP Code:NP
Code:NP19859-May
May 2014,QP Code LJ-10479-Nov
LJ
2013)
3. Explain prandtl’s mixing length theory. (QP Code:NP-19859-May
Code:NP
May 2014,QP Cod
Code
GN-5447- Dec 2012,QP
,QP Code LJ-10479-Nov
LJ
2013)
4. Obtain an expression for velocity distribution for turbulent flow in smooth pipes.
(QP Code:12754-Dec
Dec 2014,QP
2014
Code GN-5447- Dec 2012,QP
,QP Code: MV-18822MV
May 2014)
5. For turbulent flow in a pipe of diameter 300 mm, find the discharge when the
center line velocity is 2.0 m/s and the velocity at a point 100 mm from the center
as measured by pitot tube is 1.6m/s .(QP
.(
Code:12754-Dec 2014)
6. A smooth pipe of 110 diameters carries 2.27 m3/ minute of water at 20o C with
kinematic viscosity of 0.009 stokes. Calculate
i)
Friction Factor
ii)
Maximum velocity
iii)
Shear stress at the boundary.
(QP Code: MV-18822- May 2014)
7. A pipe of diameter 100 mm, carrying water, the velocities at the pipe centre and
35 mm from pipe centre
ntre are found to be 2.7 m/s and 2.4 m/s respectively. Find the
wall shearing stress. (QP Code:NP-19859-May
Code:NP
2014)
8. Water is flowing through a rough pipe of diameter 500mm and length 4000m at
the rate of 0.5 m3/s. find the power required to maintain this flow. Take average
height of roughness as K=0.40mm.(QP Code GN-5447- Dec 2012)

Update:
Nilesh Deokar
9821540802

Bhushan Borole
9892703175