Sedimenting sphere terminal velocity

The correlation between the terminal velocity of a sphere F) and the sedimentation speed is correlated to the void fraction e (Cheremisinoff, 1984) by the following equation ... 

The Stokes (sedimentation radius) of a particle is the radius of a sphere with the same density, which is settling with the terminal velocity of the particle in a quiescent fluid. Values of shape factors for a number of particles are available. ... 

Free-falling diameter Also known as sedimentation or Stokes diameter, the diameter of a sphere with the same terminal settling velocity and density as a nonspherical or irregular particle. 

The velocity of sedimentation is a result of a force balance shown in Figure 11.1 for a sphere of radius R moving at a terminal settling velocity, Vf The force of gravity, TrR p g), is a result of the... 

Sedimentation [22] of the disperse phase usually takes place under the force of gravity. (It may be caused also by an imposed centrifugal force field). A sphere of diameter D and density d under the influence of gravitational force Fg will have a terminal settling velocity Vts in the laminar region governed by Stake s law ... 

When deposition is governed primarily be impaction and sedimentation, the independent variable that is used to relate to these processes is called the aerodynamic diameter, Dae [22,23]. It is defined as the diameter of a sphere of unit density that has the same terminal sedimentation velocity as the particle in question. Therefore, the sedimentation velocity in terms of the aerodynamic diameter can be rewritten as follows ... 

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