Pressure drop in the granular zone of a blast furnace is 300 mm of water per meter of the bed height. The bed permeability is 0.8 𝑚4. 𝑁-1. 𝑠-1. The volumetric flow rate of gas per unit area through the bed [in (𝑚3. 𝑠-1). 𝑚-2, rounded off to the nearest integer] is ______ . Assume Darcy’s law is applicable and g = 9.8 𝑚. 𝑠-1. Density of water = 1000 𝑘𝑔. 𝑚-3.
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Correct answer is in the range of 2347-2357(m3s-1)m-2. By Darcy's law; Q=KpAΔP/L where Kp is bed permeability and ΔP/L is pressure drop which is equal to ρgh. Q/A=KpΔP/L = Kpρgh = 0.8×1000×9.8×0.3 = 2353 (m3s-1)m-2
Correct answer is in the range of 2347-2357(m3s-1)m-2.
By Darcy’s law; Q=KpAΔP/L
where Kp is bed permeability and ΔP/L is pressure drop which is equal to ρgh.
- Q/A=KpΔP/L = Kpρgh
- = 0.8×1000×9.8×0.3 = 2353 (m3s-1)m-2
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