Fluidized bed simulation

solid + fluidizing gas -> heated/reacted solid + gas (indirect, Wen-Yu sized)

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Governing equations

The exact equations the solver works for a fluidized bed — the same math shown in the app's "Theory" panel, not a black box.

Re_{mf}=\sqrt{33.7^2+0.0408\,Ar}-33.7\;\;(\text{Wen-Yu}),\quad U_{mf}=\frac{Re_{mf}\,\mu}{d_p\,\rho_g}

\tau = \frac{m_{bed}}{\dot m_{out}},\quad T_{out} = T_{wall} - (T_{wall}-T_{in})\,e^{-UA/(\dot m\,c_p)}

k=A_0 e^{-E_a/RT},\quad X=\frac{k\tau}{1+k\tau}\;\;(\text{well-mixed CSTR})

Parameters

wall_temperature_K + heat_transfer_area_m2 [required, immersed coil]; bed_diameter_m/bed_inventory_kg/gas_velocity_m_s [geometry + hydrodynamics, defaults 2/5000/1], particle_diameter_m [default from the feed's solids payload], particle_density_kg_m3/gas_density_kg_m3/gas_viscosity_pa_s [Wen-Yu Umf inputs], molar_mass_kg_mol [default 0.1, for the mass-based residence time], overall_u_w_m2k [default 250, typical bubbling-bed range 200-500]; same optional reaction params as rotary_kiln (CSTR conversion form instead of plug-flow)

Example flowsheets that use it

Solid-sorbent fluidized-bed DAC with compression heat recovery

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Fluidized bed simulation

Governing equations

Parameters

Example flowsheets that use it

Solid-sorbent fluidized-bed DAC with compression heat recovery

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