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GATE 2022 ME: Fluid Mechanics Quiz-10

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Question 1

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

Question 2

Air flows over a 10 m long plate. The transition from laminar to turbulent flow takes place between Reynolds number of 2.5 × 10and 3.6 × 106. What is the maximum distance from the front edge of the plate along which one can expect laminar flow in the boundary layer? The free stream velocity is 30 m/s and kinematic viscosity (ν)= 1.5 ×10-5 m2/s.

Question 3

Find the value of p and q for which the flow will not get separated if velocity profile is given by
, (u= Local velocity and U= free stream velocity) determine whether the flow:

Question 4

If the velocity distribution in a laminar boundary can be assumed as the ratio of momentum thickness to the nominal thickness is given by:

Question 5

A smooth flat plate of size 2m × 2m is kept immersed in water that moves with a velocity of 0.4 m/s. Find the thickness of the boundary layer at a distance of 0.75 m from the leading edge. Take the kinematic viscosity of water to be 1×10-4 m2/s.

Question 6

The velocity profile in laminar boundary layers are approximated by the equation,

The value of a and c is?

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