2008-57.md

course	course_year	question_number	tags	title	year
Fluid Dynamics	IB	57	IB 2008 Fluid Dynamics	1.I.5B	2008

Verify that the two-dimensional flow given in Cartesian coordinates by

$$\mathbf{u}=\left(\mathrm{e}^{y} \sinh x,-\mathrm{e}^{y} \cosh x\right)$$

satisfies $\nabla \cdot \mathbf{u}=0$. Find the stream function $\psi(x, y)$. Sketch the streamlines.