Estimates packed bed pressure drop based on Ergun equation along with minimum fluidization and maximum superficial velocity.

mm
mm
Kg/m³
Kg/h
Kg/m³
cP
m
m

Ergun Equation

\displaystyle \displaystyle \frac{\Delta P}{L} = 150\frac{\mu_f V \left( 1 - \varepsilon \right)^2 }{\phi_s^2 D_p^2 \varepsilon^3} + 1.75\frac{\rho_f V^2 \left( 1 - \varepsilon \right) }{\phi_s D_p \varepsilon^3}

Minimum Fluidization Velocity, Vmf

At minimum fluidization, pressure drop across bed is balanced by effective weight of the particle.

\displaystyle \displaystyle \left( \rho_p -\rho_f \right)g = 150\frac{\mu_f V_{mf} \left( 1 - \varepsilon_{mf} \right) }{\phi_s^2 D_p^2 \varepsilon_{mf}^3} + 1.75\frac{\rho_f V_{mf}^2}{\phi_s D_p \varepsilon_{mf}^3}

Maximum Velocity, Vmax

Beyond maximum superficial velocity, particles will be carried away by the gas and will leave at the bed exit.

\displaystyle \displaystyle V_{max} = \frac{g D_p^2 \left( \rho_p -\rho_f \right)}{18 \mu_f}

Plot for Pressure Drop, ΔP

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