A tornado may be modeled as the circulating flow shown inFig. P8.14, with v, = v, = 0 and vo(r) such that v_{\theta}=\left\{\begin{array}{ll} \omega r & r \leq R \\

\frac{\omega R^{2}}{r} & r>R \end{array}\right. Determine whether this flow pattern is irrotational in either the inner or outer region. Using the r-momentum equation(D.5) of App. D, determine the pressure distribution p(r) in the tornado, assuming p = p. as r → o. Find the location and magnitude of the lowest pressure.