Time Left - 50:00 mins

GATE ME Fluid Mechanics and Fluid Machinery : National Champion Test

Attempt now to get your rank among 1087 students!

Question 1

A ship has a metacentre height of 0.90 m and its period of rolling is 20 seconds. The relevant radius of gyration is nearly

Question 2

Newton’s law of viscosity relates

Question 3

The measurement of flow rate in a pipe as shown in diagram is done by a combination of venturimeter and

Question 4

A siphon draws water from a reservoir and discharges it out at atmospheric pressure. Assuming ideal fluid and the reservoir is large, the velocity at point P in the siphon tube is:

Question 5

How are the velocity coefficient C_v, the discharge coefficient C_d and the contraction coefficient C_c of an orifice related?

Question 6

The velocity distribution in a turbulent boundary layer is given by

What is the displacement thickness δ*?

Question 7

A hydraulic turbine develops 1000kW power for a head of 40m. If the head is reduced to 20m, the power developed (in kW) is ______.

Question 8

In a two-dimensional velocity field with velocities u and v along the x and y directions respectively, the convective acceleration along the x-direction is given by

Question 9

A centrifugal pump has an efficiency of 80%. The specifications of the pump are: discharge = 70m³/hr, Head = 7m, speed = 1450 rpm and diameter = 200mm. If the speed of this pump is increased to 1750 rpm, calculate the discharge, head developed and power input required at this speed without loss in efficiency.Density of water= 998 kg/m³.

Question 10

A hinged gate of length 5 m inclined at 30 ° with the horizontal and with water mass on its left, is shown in tie figure below. Density of water is 1000 kg/m³. The minimum mass of the gate in kg per unit width (peipendicular to the plane of paper), required to keep it closed is

Question 11

A venturimeter, having a diameter of 7.5 cm at the throat and 1.5 cm at the enlarged end, is installed in a horizontal pipeline of 15 cm diametyer. The pipe carries an incompressible fluid at a steady rate of 30 litres per second. The difference of pressure head measured in terms of the moving fluid in between the enla4rged and the throat of the venturimeter is observed to be 2.45 m. Taking the acceleration due to gravity as 9.81 m/s², the coefficient of discharge of the venturimeter (correct up to two places of decimal) is __________

Question 12

For a fully developed laminar flow of water (dynamic viscosity 0.001 Pa-s) through a pipe of radius 5 cm. the axial pressure gradient is —10 Pa/m. The magnitude or axial velocity (in m/s) at a radial location of 0.2 cm is ___________ m/sec

Question 13

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 14

A large hydraulic turbine is to generate 300 kW at 1000 rpm under a head of 40 m. for initial testing, a 1:4 scale model of the turbine operates under a head of 10 m. the power generated by the model (in kW) will be

Question 15

At the eye tip of a centrifugal impeller, blade velocity is 200 m/s while the uniform axial velocity at the inlet is 150 m/s. If the sonic velocity is 300 m/s, then the inlet Mach number of flow will be

Question 16

Water in a pipe is flowing at speed of 25m/s with pressure 550kN/m² which is 45m above sea level. What will be the total head of water in meters?

Question 17

For laminar flow over a flat plate, the thickness of the boundary layer at a distance from the leading edge is found to be 5 mm. The thickness of the boundary layer at a downstream section, which is at twice the distance of the previous section from the leading edge, will be

Question 18

Water is coming out from a tap and falls vertically downwards. At the tap opening, the stream diameter is 20 mm with uniform velocity of 2 m/s. Acceleration due to gravity is 9.81 m/s². Assuming steady, inviscid flow, constant atmospheric pressure everywhere and neglecting curvature and surface tension effects, the diameter in mm of the stream 0.5 m below the tap is approximately

Question 19

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 20

The thickness of the laminar boundary layer over a flat plate at two different sections P and Q are 0.8 cm and 2.4 cm respectively. If the section Q is 3.6m downstream of P, the distance of section P from the leading edge of the plate is

Question 21

A 25 cm long prismatic homogeneous solid floats in water with its axis vertical and 10 cm projecting above water surface. If the same solid floats in some oil with its axis vertical and 5 cm projecting above the liquid surface, what is the specific gravity of the oil?

Question 22

In a pipeline 1920 m long, the velocity of propagation of pressure wave is 960 m/s. Rapid closure of a downstream value will entail, when the maximum time for the closure is :

Question 23

The flow Consider the following statements in respect of specific energy of flow in an open channel of fixed width:
1) There is only one specific energy curve for a given channel.
2) Alternate depths are the depths of flow at which the specific energy is the same.
3) Critical flow occurs when the specific energy is minimum.
Which of these statements are correct?

Question 24

A pump, having an efficiency of 90%, lifts water to a height of 155m at the rate of 7.5 m³/s. The friction head loss in the pipe is 13m. The required pump power, in kW, will be

Question 25

In an air flow the velocity is measured by a Pitot tube (coefficient = 1.Q). The mass density of air can be taken as 1.2 kg/m3. If the head difference in a vertical U-tube holding water is 12 mm, then what is the velocity of air in m/s?

1087 attempts
3 upvotes
59 comments

Tags :

ESE & GATE ME Fluid Mechanics & Machinery Study Plan

May 31ESE & GATE ME