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A bioreactor is scaled up based on equal impeller tip speed. Consider the following parameters for small and large bioreactors:

A bioreactor is scaled up based on equal impeller tip speed. Consider the following parameters for small and large bioreactors:
Correct Answer <table class="table-style-1"> <tr> <td><strong>Parameters</strong></td> <td><strong>Small bioreactor</strong></td> <td><strong>Large bioreactor</strong></td> </tr> <tr> <td>Impeller speed</td> <td>N<sub>1</sub></td> <td>N<sub>2</sub></td> </tr> <tr> <td>Diameter of impeller</td> <td>D<sub>1</sub></td> <td>D<sub>2</sub></td> </tr> <tr> <td>Power consumption</td> <td>P<sub>1</sub></td> <td>P<sub>2</sub></td> </tr></table><br>Assuming geometrical similarity and the bioreactors are operated in turbulent regime, what will be $$\frac{{{P_2}}}{{{P_1}}}$$ ? $${\left( {\frac{{{D_1}}}{{{D_2}}}} \right)^2}$$

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