Allied & ICAR Exam Bank • ALLIED_0879 NAT • 2 Marks

Section 4: Soil and Water Conservation Engineering

Fluid Mechanics in SWCE

Subtopic: Fluid Mechanics in SWCE

Question Statement:

For a linear boundary layer velocity profile $\frac{u}{U_\infty} = \frac{y}{\delta}$, displacement thickness $\delta^* = \int_0^\delta (1 - y/\delta) dy = \left[y - \frac{y^2}{2\delta}\right]_0^\delta = \frac{\delta}{2}$. If boundary layer thickness is $\delta = 10\text{ mm}$, displacement thickness $\delta^*$ in mm is:

Answer Key:

5

Step-by-Step Solution & Explanation

$\delta^* = 10 / 2 = 5.0\text{ mm}$.
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