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Air is flowing over a flat plate with a free steam velocity of 24 m/s, and its kinematic viscosity is 72 × 10-6 m2/s, If at a particular point, the Reynolds number is 30000, its location from the leading edge is
1. 0.05 m
2. 0.07m
3. 0.08m
4. 0.09 m

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Correct Answer - Option 4 : 0.09 m

Concept:

Reynolds number \(Re = \frac{{\rho VL}}{\mu }\)

Where, ρ is density of fluid, V is fluid velocity, L is length of the plate and

µ is dynamics viscosity = \(ν\) × ρ     (ν is kinematic viscosity)

Calculation:

Given, Re = 3 × 104, \(\nu\) = 72 × 10-6 m2/s, V = 24 m/s

\(Re = \frac{{ VL}}{\nu }\)

 \(3 \times {10^4} = \frac{{24 \times L}}{{72 \times {{10}^{ - 6}}}}\)

L = 0.09 m

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