Question

An in-line mixer is to be used for rapid mixing. The plant flow is 3,780 m3/day (residence time = 30 s), the water viscosity (m) is 0.001307 N-s/m2, and the velocity gradient is 104/s. Estimate the daily power requirement for the in-line mixer (insert value + units). 1kW = 1000 J/s, 1J = 1N•m.

Answer 1

power = 5.7 kW

Step-by-step explanation:

given data

plant flow Q = 3,780 m³/day

velocity gradient =
`10^4` /s

viscosity (m) is 0.001307 N-s/m²

solution

we get here first volume of mining vessel that is express as

volume = Q × ∅

volume = 3,780 × 1 sec ×
`(1)/(60)` ×
`(1)/(1440)`

volume = 0.044 m³

and

now we get here power that is

power = velocity gradient² × viscosity × volume ......................1

power = 0.001307 × (
`10^4`)² × 0.044

power = 5.7 kW