Dear Expert,
Under what condition is the Ergun equation validated for differential pressure calculation in a fluidized bed?
How can I validate the Ergun equation for pressure drop in fluidized beds when it is based on superficial gas velocity and predicts pressure to increase linearly with velocity, while in experiments pressure remains constant after minimum fluidization?
∆P/L=150(μ∗v)*((1-ε_m ))/(φ∗d_p )^2 *(ε_m^3 )+ 1.75 (ρ_g∗v^2∗(1-ε_m ))/((φ∗d_p )∗ε_m^3
The Ergun equation and several similar equations, predict the pressure drop through a bed of solid before fluidisation starts, i.e. flow through a packed bed. The pressure drop is then equated to the weight of the bed divided by its area at the point of fluidisation (minimum fluidising velocity).
The topic is well covered in the better texts. The practical problem is characterising the solids mean particle size for practical systems: it all works well for uniform sizes, but voidage varies widely if there is a wide particle size distribution.
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