A vessel is to be designed to contain a liquid slurry of suspended particulates using a mechanical stirrer. To ensure that the particulates remain in suspension, scale tests are carried out under...

A vessel is to be designed to contain a liquid slurry of suspended particulates using a mechanical stirrer. To ensure that the particulates remain in suspension, scale tests are carried out under fully turbulent conditions in a tank with a diameter of 0.6 m. The test tank has baffles and a flat-blade impeller for which the tank diameter-to-impeller ratio is 3. The suspension is considered to be successful for a mixing speed of 3 Hz for which the power consumption is 0.18 kW and Reynolds number of 145,000. Following the success of the test mixing, determine the rotor speed that would ensure that the same level of mixing is achieved at full scale if a geometrically similar vessel is to be scaled-up by a linear scale of 6.