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A hydrocyclone operates to separate catalyst particles (rho = 1800 kg/m³, d₅₀ = 0.5 mm) from hot water (rho = 960 kg/m³, μ = 0.4 mPa·s). The hydrocyclone has dimensions L = 4 m, l = 1.5 m, D = 0.4 m, and D₀ = 0.16. The volumetric flow rate is 2.25 m³/s. (a) Determine the Stokes number, St (sometimes called St₅₀). (b) Estimate the Euler number that corresponds to the Stokes number determined above. (c) Determine the required driving pressure drop for the Euler number as estimated. (d) The centrifugal pump used to drive the flow has an efficiency of 60%. Determine the electrical power required to operate the pump (and hence the overall hydrocyclone, as the pump is the only power requirement here).
Sagot :
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