Velocity of a small particle of diameter 'Dp' at a distance 'r' from the rotational axis of a cyclone rotating at an angular speed 'ω' is given by (the other symbols are as per standard notation) ?
Correct answer: D. [(DP2/18). (ρs - ρ/μ)] ω2r
- A. [(DP/18). (ρs - ρ/μ)] ω2r
- B. [(DP2/18). (ρs - ρ/μ)] ω2r
- C. [(DP/18). (ρs - ρ/μ)] ω2r2
- D. [(DP2/18). (ρs - ρ/μ)] ω2r
Explanation
For a small particle in a cyclone, Stokes-law motion gives velocity proportional to particle diameter squared, density difference, centrifugal acceleration ω²r, and inversely proportional to viscosity. Thus the required expression contains Dp² and r, as in option d.
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