where: V_e = elutriation velocity g = acceleration due to gravity d_p = particle diameter d_f = particle diameter of the fluidizing medium μ = viscosity of the fluidizing medium
This equation assumes that the particle and fluidizing medium are spherical, the fluidizing medium is homogeneous, and the particle motion is laminar. If the fluidizing medium is not homogeneous, or if the particle motion is turbulent, more complex models may be necessary to accurately predict the elutriation velocity.
Elutriation velocity of particles in a fluidized bed reactor can be calculated using the following formula:
U_e = (g * (d_p - d_f)) / (18 * μ)
Where: U_e = elutriation velocity g = acceleration due to gravity d_p = particle diameter d_f = fluid density μ = fluid viscosity
It is important to note that the formula is based on the assumption of spherical particles and Newtonian fluid behavior. In real-life situations, these assumptions may not always hold, and other factors such as particle shape and fluid rheology should be considered.