(b) A cyclone may be modeled as a circulating flow with u = u = 0, and ue(r) such that Qr for r R inner region ug QR for r> Router region where is a non-zero constant, R is the radius of the core of the cyclone. (b) (ii) Ignore gravity. Using (and simplifying) the r-component Navier-Stokes equation equa- tion, and the boundary conditions (1) p = 0 as r + and (2) pressure is continuous at the interface of the inner and outer regions, show that the pressure distribution p(r) in the cyclone is p(r) = -p 22 R2 + p122,2 forrR. P(r) = Hint: Integrate the r-momentum equation for the inner and outer regions to obtain two separate expressions for the pressure field. Each of these expressions contain a constant, which can be determined by applying the boundary conditions