ESE ME Fluid Mechanics and Fluid Machinery : National Champion Test for ESE & GATE ME Exams

Question 1

A wooden rectangular block of length of L is made to float in water with its axis vertical. The centre of gravity of the floating body is 0.15L above the centre of buoyancy. What is the specific gravity of the wooden block?

Question 2

The metacentric high of a passenger ship is kept lower than that of a naval or a cargo ship because

Question 3

A body weighs 30 N and 15 N when weighed under submerged conditions in liquids of relative densities 0.8 and 1.2 respectively. What is the volume of the body in litres ________?

Question 4

What is the correct dimensionless group formed with the variable ρ-density, N- rotational speed, d-diameter and μ - coefficient of viscosity?

Question 5

A very small spherical particle of sand settles in a column of viscous liquid. If the Reynolds number corresponding to its terminal velocity is 0.25, the drag coefficient of the sand particle is:

Question 6

A 12 cm diameter straight pipe is laid at a uniform downgrade and flow rate is maintained such that velocity head in the pipe is 0.5 m. If the pressure in the pipe is observed to be uniform along the length when the down slope of the pipe is 1 in 10, what is the friction factor for the pipe?

Question 7

Match List-I with List-II and select the correct answer using the code given below the Lists:
List-I
A) Rotameter
B) Venturi-meter
C) Orifice-meter
D) Flow nozzle
List-II
1) Vena contracta
2) Tapering tube
3) Convergent divergent
4) Bell mouth entry

Question 8

The streamline equation passing through the point (2, 3) will be (The two dimensional flow is given by u = a and v = a) _____________.

Question 9

The tube of an inclined tube manometer has its upper end open to air and lower end connected to a vertical cylinder trough having a diameter 4 times that of the tube. The slope of the tube is 1 in 4 and specific gravity of manometer liquid is 0.72. The space above the liquid in the trough is connected to a gas chamber. When the movement of meniscus in the tube is 8 cm, change in gas pressure, in height of water column, is

Question 10

Consider the following statements :
1) Viscosity
2) Surface tension
3) Capillarity
4) Vapour pressure
Which of the above properities can be attribute to the flow of jet of oil in an unbroken stream?

Question 11

A reciprocating water pump delivers 100 litres of water per second against a suction head of 5 m and a delivery head of 15 m. The power required to drive the pump is near about

Question 12

A square gate, 1.5 m × 1.5 m, one of the vertical sides of a fully filled water tank, has one side on the free water surface. It is hinged on the lower horizontal side and is held in position by a force applied on the vertical central line at a depth of 0.75 m below the free surface. The right magnitude of this force is

Question 13

In a Pelton wheel, the bucket peripheral speed is 10 m/s, the water jet velocity is 25 m/s and volumetric flow rate of the jet is 0.1 m³/s. If the jet deflection angle is 120° and the flow is ideal, the power developed is :

Question 14

Assertion A.: For a hydraulically efficient Channel, the hydraulic radius is equal to half the depth of flow.
Reason (R): A hydraulically efficient channel has the minimum perimeter for a given area of flow.

Question 15

The Overall efficiency of a Pelton turbine is 70%. If the mechanical efficiency is 85%, what is its hydraulic efficiency?

Question 16

The centre of pressure for an inclined surface area

Question 17

For linear distribution of velocity in the boundary layer on a flat plate, what is the ratio of displacement thickness (δ*) to the boundary layer thickness (δ)?

Question 18

A fluid is flowing over a flat plate. At distance of 8 cm from the leading edge, the Reynolds number is found to be 25600. The thickness of the boundary layer at this point is

Question 19

The head loss in turbulent flow in pipe varies

Question 20

A jet of oil of relative density 0.8 and of area 0.02 m² issues at 10 m/s. If it strikes normally on a stationary plate, the force exerted on the plate is

Question 21

Statement (I) : Hydraulic jump is similar to noirmal shock in gases where supersonic flow becomes subsonic across the shock plane resulting an increase in pressure.
Statement (II) : In hydraulic jump, the Froude number is less than one and the subritical flow changes to supercritical across the jump.

Question 22

A U- tube open at ends and made of 8 mm diameter glass tube has mercury up to a height of 10 cm in both the limbs. If 19 cm³ of water is added to one of the limbs, what is the difference in mercury levels in the two limbs at equilibrium ?

Question 23

A model of a boat is built to a scale of 1/100. It experiences a resistance of 0.10 N when simulating a speed of 5 m/s of the prototype. Water is the fluid in both the cases. Neglecting frictional forces, corresponding resistance in the prototype is:

Question 24

The pressure drop in a pipe flow is directly proportional to the mean velocity. It can be deduced that the

Question 25

Consider the following statements: Euler’s equation of motion
1) can be derived from Navier-Strokes equations.
2) refers to energy balance.
3) develops into Bernoulli's equation under appropriate conditions.
4) is applicable to rotational as well as irrotational flows.
Which of these statements are correct?