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
Answer ALL questions.
Each Question carries 2 marks
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.
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.
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
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
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
6. A 3-kg object with a density of 7500 kg/m³ is placed in water. Estimate the weight of
this object in water.
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)
8. A 0.75-cm-diameter spherical object is completely submerged in water. What is the
buoyant force acting on this object
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
10. The specific gravity of mercury is 13.6. Calculate the specific weight of mercury. 2M
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)?
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
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.
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
15. An oil of kinematic viscosity 0.25 stokes flows through a pipe of diameter 10 cm. At
what velocty the flow is critical?
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.
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.
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.
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
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
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?
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.
24. The friction factor f in a laminar pipe flow is found to be 0.04. Determine the
Reynolds number of the flow.
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?
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
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
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?
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
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 ?
Attachments: 71-A3MET305-F….pdfApr 27 2022 11:41 AM
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