In the design of an agitator vessel with model volume $V_{1}$ and prototype volume $V_{2},$ the scale-up ratio is given by
(A) $\frac{V_{2}}{V_{1}}$
(B) $\left(\frac{V_{2}}{V_{1}}\right)^{1 / 2}$
(C) $\left(\frac{V_{2}}{V_{1}}\right)^{1 / 4}$
(D) $\left(\frac{V_{2}}{V_{1}}\right)^{1 / 3}$
In the design of an agitator vessel with model volume $V_{1}$ and prototype volume $V_{2},$ the scale-up ratio is given by
(A) $\frac{V_{2}}{V_{1}}$
(B) $\left(\frac{V_{2}}{V_{1}}\right)^{1 / 2}$
(C) $\left(\frac{V_{2}}{V_{1}}\right)^{1 / 4}$
(D) $\left(\frac{V_{2}}{V_{1}}\right)^{1 / 3}$
(D) $\left(\frac{V_{2}}{V_{1}}\right)^{1 / 3}$