Pressure drop in a blast-furnace granular bed is 300 mm water per metre of height. Permeability is 0.8 m⁴/(N s). Using Darcy’s law, water density 1000 kg/m³ and g=9.8 m/s², find volumetric gas flow per unit area in (m³/s)/m² (nearest integer).
Convert the gradient: Δp/L=ρg(0.300)/1=2940 Pa/m. The supplied permeability includes the viscosity factor and has units giving velocity directly. Darcy velocity is 0.8×2940=2352 m/s in the stated units. The unusually large value follows the explicit given permeability; do not silently change its exponent.
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