The diameters of a large and a small vessel are 1.62 m and

The diameters of a large and a small vessel are 1.62 m and 16.2 cm, respectively. The vessels are geometrically similar and operated under similar volumetric agitated power input. The mixing time in the small vessel was found to be 15 s. Determine the mixing time (in seconds) in the large vessel.

t₂	=		D₂		^{1 / 6}			N₁		^{2 / 3}
t₁			D₁					N₂

Now ,	P₁	=	P₂
Now ,	V₁	=	V₂

⇒ N₁³ D₁² = N₂³ D₂²

∴	N₁	=		D₂		^{2 / 3}
	N₂			D₁

= 4.6415
∴ t₂ = (4.6415)^{2 / 3} ≈ 61