b$)$ A cyclone with $h\frac{i}{r}i=9$ and a velocity ratio of ui$/$vi$=2\mathrm{.}5($see diagram$)$ should have a

maximum pressure loss of $2000Pa.$ The cut$-$off particle size should be $5m$ for a particle

density of $1000k\frac{g}{m^3}.$ Which is the maximum radius ri of the vortex finder? Which is the

maximum flow rate that can be treated with a single cyclone under these conditions? $(3)$

total pressure loss: $,p_{\text{g}\text{e}\text{s}}=0,9p_i$

pressure loss of the vortex finder: $,p_i=0,5{}_i{}_L{v}_i^2$

cut$-$off size:

$x_T=\sqrt[\phantom{2}]{\frac{18v_{ri}{r}_i}{u_i^2}}$

Figure: pressure loss coefficients of the vortex finder

Data:

Viscosity of air: $18$ Pas, density of air : $1,2k\frac{g}{m^3}$