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Kurukshetra University 2011-4th Sem B.Tech Mechanical Engineering Fluid mechanics b tech - Question Paper

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Roll No. .'D.Cs.lft.'k&l...........    Total No. of Pages : 3

BT-4/M11    8454

Fluid Mechanics (w.e.f. 2006 onwards)

PaperME-208E, OptionI

Time : Three Hours]    [Maximum Marks : 100

Note :Attempt FIVE questions in all, selecting at least ONE question from each unit.,

UNITI

1.    (a) Differentiate between following :

(i)    Kinematic and Dynamic Viscosity

(ii)    Cohesion and Adhesion

(iii)    Newtonian and Non-Newtonian fluid

(iv)    Bulk modulus and compressibility of a fluid.    8 (b) Derive an expression for the depth of centre of pressure

from free surface of liquid of an inclined plane surface submerged in the liquid.    12

2.    (a) Define and distinguish :

(i)    Rotational and irrotational flow

(ii)    Steady and Unsteady flow

(iii)    Circulation and Vorticity.    9

(b) If the expression for stream function is described by

\|/ = x3-3xy2, determine whether flow is irrotational or rotational.If the flow is irrotational, then indicate the correct value of the velocity potential :

(i)    - y3 - 3x2y

(ii)     = - 3x2y.    11

3.    (a) State and prove Bemoulis theorem. List the assumptions

made and limitations also.    8

(b)    Describe an orificemeter and find an expression for measuring discharge of fluid through a pipe with this device. 6

(c)    What is Pitot tube ? How is it used to measure velocity of flow at any point in a pipe or channel ?    6

4.    (a) 360 litres per second of water is flowing an a pipe. The pipe

is bent by 120. The pipe bend measures 360 mm x 240 mm and volume of the bend is 0.14 m3. The pressure at the entrance is 72 kN/m2 and the exit is 2.4 m above the entrance section. Find the force exerted on the bend.    8

(b) Explain the following    ,

(i)    Tree and forced vortex flow

(ii)    Kinetic energy correction factor    ,

(iii)    Momentum correction factor.    12

UNITin

5.    (a) Derive Hagen-Poiseuille equation and state the assumptions

made.    12

(b) A liquid with a specific gravity 2.8 and a viscosity 0.8 poise flows through a smooth pipe of unknown diameter, resulting in a pressure drop of 800 N/m2 in 2 km length of the pipe. What is the pipe diameter if the mass flow rate is 2500 kg/h ?    '    8

6.    (a) Explain in brief_

(i)    Hydraulic Gradient Line (HGL)

(ii)    Energy Gradient Line (EGL).    6 8454 2 (Contd.)

Derive an expression for the power transmission through the pipes. Find also the condition for maximum transmission of power.    6

Two pipes of diameter 400 mm and 200 mm each, 300 m long. When the pipes are connected in series the discharge through the pipe line is 0.10 m3/sec, find the loss of head incurred. What would be the loss of head in the system to pass the same total discharge when the pipes are connected in parallel ? Take friction factor = 0.0075 for each pipe.

(b)

(c)

7.    (a)

(b)

(c)

8.    (a) (b) ()


8

UNITIV

Discuss the following in regards to Boundary layer :

Jp Boundary layer thickness

(ii)    Displacement thickness

(iii)    Momentum thickness.    6 What is Blasius one seventh power law of velocity distribution.

8

What is laminar sublayer ? How this concept is useful ?

6

Distinguish between hydrodynamically smooth and rough boundaries.    6

Explain what is meant by separation of boundary layer. Describe with sketches the methods to control separation.    8

Differentiate between a streamlined body and a bluff body.

6

8454    3    6100+730-







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