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R3932 Pages: 2

Find the ratio ofdisplacement thickness to momentum thickness and momentum (10)
thickness to energy thickness for the velocity distribution in the boundary layer is given by
(u/Uco) = 21/8) - 2
A thin plate is moving in still atmospheric air at a velocity of 5/۰. The length of (10) the plate
is 0.6m and width 0.5m. Calculate (i) Thickness of the boundary layer at the end of the plate
and (ii) drag force on one side of the plate. Take density of air as 1.25kg/m? and kinematic
viscosity 0.15 stokes.
a) State Buckingham’s ‏ع‎ theorem and mention the conditions for selecting repeating (5)
variables.

b) Define the following dimensionless numbers: Reynold’s number, Froude’s (5)

number and Mach’s number. Mention its applications in fluid flow problems.

The pressure difference AP in a pipe of diameter D and length L due to turbulent 13 (10)
flow depends on the velocity ‏,لا‎ viscosity மூ, density ‏م‎ and roughness k. Using
Buckingham’s z theorem, obtain an expression for AP

A 1:10 scale model of a passenger car is tested in a wind tunnel. The prototype 14 (10)
velocity is 40Kmph. If the model drag is 350N, what is the drag and the power

required to overcome the drag in the prototype. Assuming the air in the model

and prototype has same properties.

मैप KR ‏بد‎

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