GATE CE Fluid Mechanics : National Champion Test for ESE & GATE CE Exams

Question 1

A frictionless fluid of density r flow through a bent pipe as shown below. If A is the cross sectional area and V is the velocity of flow, the forces exerted on segment 1–2 of the pipe in the x and y directions are, respectively
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Question 2

A thin plane lamina, of area A and weight W, slides down a fixed plane inclined to the vertical at an angle

and maintain a uniform gap

from the surface of the plane, the gap being filled with oil of constant viscosity

. The terminal velocity of the plane is

Question 3

Both free vortex and forced vortex can be expressed mathematically in terms of tangential velocity V at the corresponding radius r. Choose the correct combination

Free Vortex Forced Vortex

Question 4

For subcritical flow in an open channel, the control section for gradually varied flow profiles is

Question 5

The pressure difference of two very light gases in two rigid vessels is being measured by a vertical U- tube water filled manometer. The reading is found to be 10 cm. What is the pressure difference?

Question 6

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 7

How is the difference of pressure head ‘h’ measured by a mercury-oil differential manometer expressed ?

Question 8

Which one of Consider the following statements:
1) Pumps in series operation can be the head to increase.
2) Pumps in series operation increase the flow rate.
3) Pumps in parallel operation increase the flow rate.
4) Pumps in parallel operation can be the head to increase.
Which of these statements are correct?

Question 9

In the below layout of piping, what is the velocity in 200 mm diameter pipe?

Question 10

The flow of a fluid in a pipe takes place from

Question 11

The stream function in a flow field is given by

In the same flow field, what is the velocity at a point (2, 1)?

Question 12

A streamlined body is one for which the

Question 13

A Pitot-static tube, with a coefficient of 0.98 is used to measure the velocity of water in a pipe. The stagnation pressure recorded is 3m and the static pressure is 0.5 m. What is the velocity of flow ?

Question 14

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 15

Air (ρ= 1.2 kg/m³ and kinematic viscosity. v = 2 × 10^-5m²/s) with a velocity of 2 m/s flows over the top surface of a flat plate of length 2.5 m. If the average value of friction coefficient is

, the total drag force (in N) per unit width of the plate is_______

Question 16

The maximum velocity of a one-dimensional incompressible fully developed viscous flow, between two fixed parallel plates, is 6ms^-1. The mean velocity (in ms^-1) of the flow is

Question 17

The maximum velocity

, the means velocity U and shear velocity

in the case of turbulent flow through circular pipes are related as

Question 18

In the manometer tube, if P_gas > P_atm indicates:

Question 19

A flow-net is a graphical representation of streamlines and equipotential lines such that these lines_____.

Question 20

The Bernoulli's equation is applicable to:

Question 21

A beaker of water is falling freely under the influence of gravity. Point B is on the surface and point C is vertically below B near the bottom of the beaker. If

is the pressure at point B and P_C the pressure of point C, then which one of the following is correct?

Question 22

The centre of buoyancy is

Question 23

If B is the centre of buoyancy, G is the centre of gravity and M is the metacentre of a floating body, the body will be in stable equilibrium if ________.

Question 24

If x is the distance measured from the leading edge of a flat plate, the laminar boundary layer thickness varies as

Question 25

1n the boundary layer, the flow is

Question 26

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 27

The absolute pressure at a point 2.5 m below the clear water surface is measured as 125.703 kN/m2. If the atmospheric pressure is taken as 101.325 kN/m², the gauge pressure in kN/m² at this point would be

Question 28

Which one of the following causes lift on an immersed body in a fluid stream?

Question 29

A piece of metal of specific gravity 7 floats in mercury of specific gravity 13.6 what fraction of its volume is under mercury?

Question 30

Consider the figure below relating to buoyancy in water.

What will be the downward force upon the top of the body ABCOEF?