Code No: A3MET305 Set No: 71 GATE Model Question Paper MVGR College of Engineering (Autonomous)…

Code No: A3MET305 Set No: 71

GATE Model Question Paper

MVGR College of Engineering (Autonomous)

Fluid Mechanics and Fluid Machines

TIME: MAX.MARKS:

Answer ALL questions.

Each Question carries 2 marks

UNIT-I

1. A manometer is used to measure the pressure of a gas in a tank. The manometer fluid

is water (?? = 1000 kg/m³) and the manometer column height is 1.8 m. If the local

atmospheric pressure is 100 kPa, calculate the absolute pressure within the tank.

2M

2. The gage pressure in a pipe is measured by a manometer containing mercury (?? =

13,600 kg/m³). The top of the mercury is open to the atmosphere and the atmospheric

pressure is 100 kPa. If the mercury column height is 24 cm, calculate the gage

pressure in the pipe.

2M

3. The capillary rise of water in a 2 mm diameter tube is 1.5 cm, the height of capillary

rise in a 0.5 mm diameter tube, in cm will be

2M

4. A tube open at both ends and made of 8 mm diameter glass tube has mercury in the

bottom to a height of 10 cm above the horizontal limb. If 19 cc of water is added to

one of the limbs, the difference in mercury level at equilibrium is

2M

5. Determine the pressure increase required to reduce the volume of water by 1.5%, if its

bulk modulus of elasticity is 2.2 × 10? Pa

2M

6. A 3-kg object with a density of 7500 kg/m³ is placed in water. Estimate the weight of

this object in water.

2M

7. Calcluate the difference in pressure (in N/m² ) across an air bubble of diameter 0.001

m immersed in water (surface tension = 0.072 N/m)

2M

8. A 0.75-cm-diameter spherical object is completely submerged in water. What is the

buoyant force acting on this object

2M

9. The coefficient of surface tension of water in air is 0.07 N/m, the diameter of a tube

that can be used to keep the capillary height between 1.80 cm to 2.00 cm is

2M

10. The specific gravity of mercury is 13.6. Calculate the specific weight of mercury. 2M

UNIT-II

11. Water (? = 1000 kg/m³) flows through a venturimeter with inlet diameter 80 mm and

throat diameter 40 mm.The inlet and throat gauge pressures are measured to be 400

kPa and 130 kPa respectively . Assuming the venturimeter to be horizontal and

neglecting friction, what is the inlet velocity (in m/s)?

2M

12. Water is flowing in a 3-cm-diameter garden hose at a rate of 25 L/min. A 20-cm

nozzle is attached to the hose which decreases the diameter to 1.2 cm. Find the

magnitude of the acceleration of a fluid particle moving down the centreline of the

nozzle

2M

13. A two-dimensional flow field has velocities along the x and y directions given by

u=x²t, v= -2yt respectively, where t is time. Write the equation of streamline.

2M

14. If the same of fluid is used in both model and prototype, what is the scle of the model

desired to have equal Reynolds number and Froude number in the model and

prototype?

2M

15. An oil of kinematic viscosity 0.25 stokes flows through a pipe of diameter 10 cm. At

what velocty the flow is critical?

2M

16. A venturimeter of 20 mm throat diameter is used to measure the velocity of water in a

horizontal pipe of 40 mm diameter. If the pressure difference between the pipe and

throat sections is found to be 30 kPa then, neglecting frictional losses, calculate the

velocity of flow.

2M

17. A steady, incompressible, two-dimensional velocity field is given by V= (u, v) = (0.65

+ 1.7x)i+ (1.3 – 1.7y)j where the x- and y-coordinates are in meters and the

magnitude of velocity is in m/s. Find out the y-component of acceleration vector.

2M

18. The static and stagnation pressures of a fluid in a pipe are measured by a piezometer

and a pitot tube to be 200 kPa and 210 kPa, respectively. If the density of the fluid is

550 kg/m³, mention the the velocity of the fluid.

2M

19. State the applications of Reynolds number similarity 2M

20. The stream function in a two dimensional flow field is given by ?=xy . Find its

potential function

2M

UNIT-III

21. A 20 cm diameter pipe carries a fluid of relative density 0.9. If the boundary shear

stress in the pipe is 0.50 Pa, what is the head loss in a length of 100 m of the pipe

line?

2M

22. A liquid flowing in a pipe has a head loss of 2 m in a pipe length of 10 m. The

Reynolds number of the flow is 100. If the flow rate is doubled and all other fluid

properties remain the same, what is the head loss in m?

2M

23. A fluid (RD = 0.9 and µ = 1.2 Pa.s) flows in laminar regime between two parallel

plates fixed 3 cm apart. If the discharge is 600 cm³/s/cm width of plate, find the shear

stress on the boundary, in Pa.

2M

24. The friction factor f in a laminar pipe flow is found to be 0.04. Determine the

Reynolds number of the flow.

2M

25. If the maximum velocity in a laminar flow through two parallel static plates is 9 m/s,

then what will be the average velocity of the flow?

2M

26. A 20 cm diameter pipe carries a fluid of relative density 0.9. If the boundary shear

stress in the pipe is 0.50 Pa, what is the head loss in a length of 150 m of the pipe

line?

2M

27. Oil of viscosity 1.5 Pa.s and relative density 0.9 flows through a circular pipe a

diameter 5 cm with a mean velocity of 1.2 m/s. What is the shear stress at the wall in

Pa?

2M

28. A liquid flowing in a pipe has a head loss of 2 m in a pipe length of 10 m. The

Reynolds number of the flow is 150. If the flow rate is doubled and all other fluid

properties remain the same, what is the head loss in m?

2M

29. In plain Coutte flow (i.e., with zero pressure gradient) if B = gap between the plates,

mention the discharge per unit witdh of the plates

2M

30. The pressure drop in an 8 cm horizontal pipe is 75 kPa in a distance of 15 m. What is

the shear stress at the pipe wall, in kPa ?

2M

Attachments: 71-A3MET305-F….pdfApr 27 2022 11:41 AM

The price is based on these factors:

Academic level

Number of pages

Urgency

Basic features

- Free title page and bibliography
- Unlimited revisions
- Plagiarism-free guarantee
- Money-back guarantee
- 24/7 support

On-demand options

- Writer’s samples
- Part-by-part delivery
- Overnight delivery
- Copies of used sources
- Expert Proofreading

Paper format

- 275 words per page
- 12 pt Arial/Times New Roman
- Double line spacing
- Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Delivering a high-quality product at a reasonable price is not enough anymore.

That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

Read moreEach paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

Read moreThanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.

Read moreYour email is safe, as we store it according to international data protection rules. Your bank details are secure, as we use only reliable payment systems.

Read moreBy sending us your money, you buy the service we provide. Check out our terms and conditions if you prefer business talks to be laid out in official language.

Read more