GATE ME 2014 Set 2 — Question 55
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Fluid Mechanics → Viscous & Pipe Flow → Boundary Layer Theory
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Question
Consider laminar flow of water over a flat plate of length . If the boundary layer thickness at a distance of from the leading edge of the plate is , the boundary layer thickness (in mm), at a distance of , is _______
Correct answer
13.5 to 14.2
Solution
For laminar flow over a flat plate, the boundary layer thickness () at a distance from the leading edge is given by the Blasius solution:This relationship shows that the boundary layer thickness is proportional to the square root of the distance from the leading edge:We can set up a ratio for two different positions and :Given:
,
The boundary layer thickness at is approximately , which falls within the accepted range of to .
,
The boundary layer thickness at is approximately , which falls within the accepted range of to .
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