8/13/2019 EURME 406 (Fluid Mechanics 1)

1/4

OR

4. Prove that the maximum velocity in a circular pipe for viscous flow is

equal to two times the average velocity of the flow 12

UNIT-III

5. Define displacement thickness. Derive an expression for thedisplacement thickness 12

OR

6. Assuming second degree velocity distribution in the boundary layer,

determine using the integral momentum equation, the thickness of

boundary layer friction coefficient, displacement and momentum

thickness 12

UNIT-IV

7. What are the methods of dimensional analysis? Describe the

Rayleighs method for dimensional analysis 12

OR

8. What is meant by geometric, kinematic and dynamic similarities?

Are these similarities truly attainable? If not why? 12

UNIT-V

9. A gas flowing through a horizontal pipe which is having area ofcross section as 40 cm

2, where pressure is 40 N/cm

2(gauge) and

temperature 150C. At another section the area of cross section is

20 cm2and pressure is 30 N/cm

2(gauge). If the mass rate of flow

of gas through the pipe is 0.5 kg/s, find the velocities of the gas at

these sections, assuming an isothermal change.

Take R = 292 Nm/kgoK, and atmospheric pressure = 10 N/cm2 12

OR

10. Derive continuity equation for one dimensional compressible flow

in differential form 12

[08/IV S/111]

8/13/2019 EURME 406 (Fluid Mechanics 1)

2/4

[A-11]

[EURME 406]

B.Tech. DEGREE EXAMINATION

Mechanical Engineering

IV SEMESTERFLUID MECHANICS

(Effective from the admitted batch 200809)

Time: 3 Hours Max.Marks: 60

-------------------------------------------------------------------------------------Instructions: Each Unit carries 12 marks.

Answer all units choosing one question from each unit.

All parts of the unit must be answered in one place only.

Figures in the right hand margin indicate marks allotted.

---------------------------------------------------------------------------------------------

UNIT-I

1. a) Two large planes are parallel to each other and are inclined at 30o

to the horizontal with the space between them filled with a fluid

of viscosity 20 cp. A small thin plate of 0.125 m square slides

parallel and midway between the planes and reaches a constant

velocity of 2 m/s. The weight of the plate is 1 N. Determine thedistance between the plates 6

b) Derive an expression for the depth of center of pressure from

free surface of liquid of an inclined plane surface sub-merged

in the liquid 6OR

2. a) A liquid with specific gravity 0.8, flows at the rate of 3 l/s through

a venturimeter of diameters 6 cm and 4 cm. If the manometer

fluid is mercury (sp. gr = 13.6) determine the value of manometerreading, h 6

b) Define the equation of continuity. Obtain an expression for

continuity equation for a three dimensional flow 6

UNIT-II

3. Show that the velocity profile in laminar flow through a circular pipe

is parabolic. Find the average velocity in terms of maximum velocity 12

8/13/2019 EURME 406 (Fluid Mechanics 1)

3/4

OR

4. Prove that the maximum velocity in a circular pipe for viscous flow is

equal to two times the average velocity of the flow 12

UNIT-III

5. Define displacement thickness. Derive an expression for thedisplacement thickness 12

OR

6. Assuming second degree velocity distribution in the boundary layer,

determine using the integral momentum equation, the thickness of

boundary layer friction coefficient, displacement and momentum

thickness 12

UNIT-IV

7. What are the methods of dimensional analysis? Describe the

Rayleighs method for dimensional analysis 12

OR

8. What is meant by geometric, kinematic and dynamic similarities?

Are these similarities truly attainable? If not why? 12

UNIT-V

9. A gas flowing through a horizontal pipe which is having area ofcross section as 40 cm

2, where pressure is 40 N/cm

2(gauge) and

temperature 150C. At another section the area of cross section is

20 cm2and pressure is 30 N/cm

2(gauge). If the mass rate of flow

of gas through the pipe is 0.5 kg/s, find the velocities of the gas at

these sections, assuming an isothermal change.

Take R = 292 Nm/kgoK, and atmospheric pressure = 10 N/cm2 12

OR

10. Derive continuity equation for one dimensional compressible flow

in differential form 12

[08/IV S/111]

8/13/2019 EURME 406 (Fluid Mechanics 1)

4/4

[A-11]

[EURME 406]

B.Tech. DEGREE EXAMINATION

Mechanical Engineering

IV SEMESTERFLUID MECHANICS

(Effective from the admitted batch 200809)

Time: 3 Hours Max.Marks: 60

-------------------------------------------------------------------------------------Instructions: Each Unit carries 12 marks.

Answer all units choosing one question from each unit.

All parts of the unit must be answered in one place only.

Figures in the right hand margin indicate marks allotted.

---------------------------------------------------------------------------------------------

UNIT-I

1. a) Two large planes are parallel to each other and are inclined at 30o

to the horizontal with the space between them filled with a fluid

of viscosity 20 cp. A small thin plate of 0.125 m square slides

parallel and midway between the planes and reaches a constant

velocity of 2 m/s. The weight of the plate is 1 N. Determine thedistance between the plates 6

b) Derive an expression for the depth of center of pressure from

free surface of liquid of an inclined plane surface sub-merged

in the liquid 6OR

2. a) A liquid with specific gravity 0.8, flows at the rate of 3 l/s through

a venturimeter of diameters 6 cm and 4 cm. If the manometer

fluid is mercury (sp. gr = 13.6) determine the value of manometerreading, h 6

b) Define the equation of continuity. Obtain an expression for

continuity equation for a three dimensional flow 6

UNIT-II

3. Show that the velocity profile in laminar flow through a circular pipe

is parabolic. Find the average velocity in terms of maximum velocity 12