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GATE CE: Fluid Mechanics Champion Quiz 4

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Question 1

An aircraft is flying in level flight at a speed of 200 km/hr through air (density (ρ)= 1.2 kg/m2, and viscosity (μ) = 1.6 × 10–5 N–s/m2). The lift co–efficient at this speed is 0.4 and the drag co–efficient is 0.0065. The mass of the aircraft is 800 kg. The effective lift area of the aircraft is

Question 2

In flow through a pipe, the transition from laminar to turbulent flow does not depend on

Question 3

The boundary layer separation occurs when

Question 4

The velocity distribution in a turbulent boundary layer is given by
What is the displacement thickness δ*?

Question 5

For air flow over a flat plate, velocity (U) and boundary layer thickness (δ) can be expressed respectively, as
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If the free stream velocity is 2m/s, and air has kinematic viscosity of 1.5×10-5 m2/s and density of 1.23 kg/m3, the wall shear stress at x = 1m, is

Question 6

A flat plate with a sharp leading edge is placed along a free stream of fluid flow. Local Reynolds number at 3 cm from the leading edge is 105
What is the thickness of the boundary layer?

Question 7

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 8

Pipe 1, branches to three pipes as shown in the given figure.

The areas and corresponding velocities are as given in the following table for Pipe 2,3 and 4. The value of in cm per second will be

Question 9

Two pipelines, one carrying oil (mass density 900 kg/m3) and the other water, are connected to a manometer as shown in the figure. By what amount the pressure in the water pipe should be increased so that the mercury levels in both the limbs of the manometer become equal? (Mass density of mercury = 13,550 kg/m3 and g = 9.81 m/s2)

Question 10

A centrifugal pump running at 500 rpm and at its maximum efficiency is delivering a head of 30m at a flow rate of 60 litres per minute. If the rpm is changed to 1000, then the head H in metres and flow rate Q in litres per minute at maximum efficiency are estimated to be
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Nov 10ESE & GATE CE