Question

For a 2-D flow field, the stream function $\psi$ is given as $\psi =\frac{3}{2}(y^2-x^2)$.
The magnitude of discharge occurring between the stream line passing through points (0, 3) and (3, 4) is

• A. 6 units
• B. 3 units
• C. 1.5 units
• D. 2 units

Answer 1

The correct option is B 3 units

$Q={\psi }_1-{\psi }_2$
$=\frac{3}{2}(9-0)-\frac{3}{2}(16-9)$
$=\frac{27}{2}-24+\frac{27}{2}=3units$