By what ratio must the tank diameter d be changed

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Reference no: EM131514826

Question: The following variables describe mixing in a tank

f (P, N, D, ρ, μ) = 0

P id power, work/time - [ML²/t³]

N is rotational speed of impeller - [1/t]

D is a diameter of the tank - [L]

ρ is density of the fluid - [M/L³]

μ is viscosity of the fluid - [M/Lt]

a. Show the functional relationship among the variable is

F( P , D²Nr) = 0
( rN³D⁵ m )

b. To scale a liquid mixing tank the power input per unit volume is kept constant. If it is desired to construct a prototype of an existing mixer by a 2:1 ratio, by what ratio must the tank diameter, D, and impeller speed, N, be changed?

Reference no: EM131514826

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