The maximum thickness of boundary layer in a pipe of radius r is A. 0 B. $$\frac{{\text{r}}}{2}$$ C. r D. 2r

0
$$rac{{ ext{r}}}{2}$$
r
2r

The correct answer is $\frac{{\text{r}}}{2}$.

The boundary layer is a thin layer of fluid in the immediate vicinity of a solid surface where the fluid velocity changes from zero at the surface to the free stream velocity at a distance of the order of the boundary layer thickness.

The boundary layer thickness is defined

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as the distance from the surface where the fluid velocity reaches 99% of the free stream velocity.

In a pipe of radius $r$, the maximum thickness of the boundary layer occurs at the pipe wall and is given by:

$$\delta = \frac{{\text{r}}}{2}$$

The other options are incorrect because they are either too small or too large. Option A is incorrect because the boundary layer thickness cannot be zero. Option C is incorrect because the boundary layer thickness cannot be equal to the pipe radius. Option D is incorrect because the boundary layer thickness cannot be twice the pipe radius.

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