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QUESTION: 1

The maximum thickness of boundary layer in a pipe of radius r is

Solution:

The thickness of the boundary layer represented, by 8(greek 'delta’) is arbitrarily defined as that distance from the boundary surface in which the velocity reaches 99% of the velocity of the main stream, in a pipe the free stream velocity is at the centre of the pipe. Therefore maximum thickness of boundary layer is r.

QUESTION: 2

The velocity profile for turbulent boundary layer is:

Solution:

Velocity profile follows 1/7^{th} power law for turbulent boundary layer.

QUESTION: 3

The drag force experienced by an object in a fluid stream is

Solution:

QUESTION: 4

The correct relationship among displacement thickness ‘d’ momentum thickness ‘m’ and energy thickness ‘e’ is

Solution:

Displacement thickness,

Momentum thickness,

Energy thickness,

QUESTION: 5

What is the momentum thickness for the boundary layer with velocity distribution u/U = y/δ ?

Solution:

The momentum thickness is given by,

QUESTION: 6

If x is the distance from leading edge, then the boundary layer thickness in laminar flow varies as

Solution:

QUESTION: 7

If δ_{1} and δ_{2} denote the boundary layer thicknesses at a point distance x from the leading edge on a fiat plate when the Reynolds numbers are 100 and 256 respectively, then the ratio of δ_{1} to δ_{2} will be

Solution:

QUESTION: 8

If δ_{1} is the thickness of laminar boundary layer at a distance x_{1} from the leading edge of the flat plate, the thickness δ_{2} at x_{2} = 2x_{1} is equal to

Solution:

For laminar boundary layer,

QUESTION: 9

The displacement thickness δ* of a boundary layer is defined as δ* =

Solution:

Displacement thickness,

Momentum thickness,,

Energy thickness,

QUESTION: 10

Separation of boundary layer takes place under

Solution:

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