$2.$ Cyclone design

An existing conventional cyclone has a body diameter of $0\mathrm{.}8$ m and will be used remove

particulates from exhaust gas. The air flow rate is $160$ m$3/$min at air temperature $=330$K and

atmospheric pressure $=1$ atm. The air contains particles with a density of $1600$ kg$/$m$3.$ The

dynamic viscosity of air, $\backslash$mu $,$ is $2\mathrm{.}0$ x $10-5$ kg$/$m$-$s$.$ The density of air is $1\mathrm{.}08$ kg$/$m$3.$ The collection

efficiency for $10\backslash$mu m size particles is most nearly.

A$.50$ B$.65$ C$.80$ D$.95$

Approach:

a$.$ Write the expression to find the particle size that is $50\%$ removed for a conventional cyclone.

b$.$ Determine the number of effective turns $($Ne$)$ for a conventional cyclone with body diameter

$2\mathrm{.}0$ m$.$ For this problem, use the Ne equation on FE reference handbook $($on Canvas$)$ page $316.$

c$.$ Determine the cyclone inlet velocity, m$/$s$.$

d$.$ Determine the particle size that is $50\%$ removed $(\backslash$mu m$).$

e$.$ Determine the efficiency $(\%)$ of the cyclone for the target particle diameter.

f$.$ What is the closest answer given in the question statement above?