Mist Formation Model

Consider a machining process in which a circular workpiece is rotating in a horizontal plane. The workpiece rotates at angular velocity w, and the cutting fluid jet has a diameter d and a flow rate Q. Depending on the fluid discharge velocity, there are two different atomization modes: drop mode and liament formation mode.

For low cutting fluid flow rate, the drop will seperate from the edge of the surface when the centrifugal force is higher than the surface tension force. Equating the centrifugal force and the surface tension force, we can get the diameter of the main drop.Also, the mass fraction E of drops to satellites can be obtained.

For higher fluid flow rate, the fluid disintegrate as ligament formaion mode.The mean drop diameter D is also be obtained. And set the mass fraction E 0.

The cumulative distribution curve shows: as the flow rate is increased the drop size ditribution widens, regardless of the rotational speed. Another general trend exhibited by all the fluid except water is that an increase in rotational speed causes the drop size distribution to broaden. The cumulative ditribution plot shows these .

Assume that 20% of heat generated during the machining process causes evaporation. From the conservation of thermal energy, the mass m of evaporation can be estimated.