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Fluid Mechanics and Hydraulic Machinery Miscellaneous

Fluid Mechanics and Hydraulic Machinery

  1. The viscous laminar flow of air over a flat plate results in the formation of a boundary layer. The boundary layer thickness at the end of the plate of length L is δL. When the plate length is increased to twice of its original length, the percentage change in Iaminar boundary layer thickness at the end of the plate (with respect to δL) is ________
    1. 44.42%
    2. 41.42%
    3. 43.42%
    4. 40.42%
Correct Option: B

As per Blausius equation,

ρ =
5x
=
5x
RexρV.x/μ

ρ = ∝ √x
ρL ∝ √L
ρ2L ∝ √2L
ρ2L - ρL
100 =
2L - √L
× 100
ρLL

= (√2 - 1) × 100 = 41.42%



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