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 \delta_{L} . When the plate length is increased to twice its original length, the percentage change in laminar boundary layer thickness at the end of the plate (with respect to \delta_{L} ) is (correct to two decimal places).

GATE Mechanical Engineering (ME) 2018 Shift 2 Solved Paper

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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}

δ_{L} .

When the plate length is increased to twice its original length, the percentage change in laminar boundary layer thickness at the end of the plate (with respect to

δ_{L}

) is (correct to two decimal places).

Your Answer:

Validate

Solution:

δ ∝ √{x}

\;{δ_{1}}\/{δ_{2}}=√{\;{x_{1}}\/{x_{2}}}=\;{1}\/{√{2}}

Percentage change

=\;{δ_{2}-δ_{1}}/{δ_{1}} × 100=41.42 \%

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