Results for rectangular sections

Contours of the vertical component of velocity due to buoyancy, $v_n$, calculated using (7.25) and (7.35) are shown in figure 7.2,

Figure 7.2: Fully developed buoyancy-induced flow in various rectangular sections. Curves can be interpreted as either vortex-lines or contours of the vertical component of velocity with levels at $\pm20, 40, 60$ and $80\%$ of maximum. $\oplus$ and $\ominus$ mark extrema of $v_n$ (points of zero vorticity).

in the unnormalized coordinates $x$ and $z$. The curves can be interpreted as either contours of $v_n$ or vortex-lines, since the gradient of velocity in the $y$-direction is zero (see Theorem 3, p. ).