Question

The velocity distribution of a laminar flow through a cylindrical tube is

• A. is constant over the cross-section
• B. varies linearly with zero at the walls to maximum at the centre
• C. varies parabolically with maximum at the centre
• D. None of these

Answer 1

The correct option is C varies parabolically with maximum at the centre

In laminar flow velocity profile is given by- $v\left(x\right)=v_m[1-\frac{x^2}{R^2}]$ where $v_m$ is maximum speed of fluid particle, $x$ is distance from center of tube and $R$ is the radius of tube.

Distribution of $v\left(x\right)$ is a parabola with maximum value at $x=0$.