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National Champion Test: Fluid Mechanics & Hydraulics (App update required to attempt this test)

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Question 1

The necessary condition for boundary layer flow separation from the surface if:

Question 2

A Prandtl tube (Pitot-static tube with C_v=1) is used to measure the velocity of water. The differential manometer reading is 10 mm of liquid column with a relative density of 10. Assuming g = 9.8 m/s², the velocity or water (in m/s) is ________.

Question 3

Water enters a circular pipe of length L = 5.0 m and diameter D = 0.20 m with Reynolds number R_eD =500. The velocity profile at the inlet of the pipe is uniform while it is parabolic at the exit. The Reynolds number at the exit of the pipe is___________.

Question 4

A 0.3 m diameter pipe carries oil of specific gravity 0.8 at the rate of 150 l/s and the pressure at the point A is 10 kPa. If the point A is 4 m above the datum line, the total energy at point A closest to

Question 5

A horizontal venturimeter of throat diameter 0.25 m is used to measure the flow of oil of specific gravity 0.9.The discharge of oil through main pipe (dia= 0.5m) is 100L/s. Find the reading of the oil-mercury (sp. gr. 13.6) differential manometer (in mm). Take the coefficient of discharge as unity.

Question 6

Water at 25 °C is flowing through a 1.0 km long C.I. pipe of 200 mm diameter at the rate of 0.07 m³/s. If value of Darcy friction factor for this pipe is 0.02 and density of water is 1000 kg/m³, the pumping power (in kW) required to maintain the flow is

Question 7

Match the following pairs:

Question 8

An incompressible fluid (kinematic viscosity, 7.4x 10^-7 m / s, specific gravity, 0.88) is held between two parallel plates. If the top late is moved with a velocity of 0.5 m/s while the bottom one is held stationary, the fluid attains a linear velocity profile in the gap of 0.5 mm between these plates; the shear stress in Pascals on the surface of top plate is

Question 9

For a steady flow, the velocity field is

. The magnitude of the acceleration of a particle at (1, -1) is

Question 10

A large tank with a nozzle attached contains three immiscible, inviscid fluids as shown. Assuming that the changes in

are negligible, the instantaneous discharge velocity is

Question 11

Consider two hydraulic turbines having identical specific speed and effective head at the inlet. If the speed ratio (N₁/N₂) of the two turbines is 2, then the respective power ratio (P₁/P₂) is ________

Question 12

Water is flowing through a converging pipe as shown in the figure. The area of cross-section of pipe at section A and B are 4 cm² and 2 cm² respectively. Velocity at section A is 5 m/A manometer containing mercury of specific gravity is also connected between that section. A difference between the manometer column is x₁. Further a valve v is connected at the section B and the flow is restricted by decreasing the corss-section area to 1 cm² keeping velocity at A constant and the column difference become x₂. Then the difference x₂-x₁ is

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ESE & GATE CE Fluid Mechanics

Oct 14ESE & GATE CE