course | course_year | question_number | tags | title | year | |||
---|---|---|---|---|---|---|---|---|
Fluid Dynamics |
IB |
23 |
|
Paper 4, Section II, D |
2011 |
Show that an irrotational incompressible flow can be determined from a velocity potential
Given that the general solution of
obtain the corresponding fluid velocity.
A two-dimensional irrotational incompressible fluid flows past the circular disc with boundary
where
Show that the acceleration of the fluid at
$$\frac{\kappa}{2 \pi a^{2}}\left(-\frac{\kappa}{2 \pi a} \mathbf{e}{r}-2 U \mathbf{e}{\theta}\right)$$