Determine minimum power required to achieve turbulence


A cylindrical bioreactor of diameter 3 m has four baffles. A marine impeller mounted in the reactor has a diameter 1/3 that of the tank (Di) and is operated at 90 rpm (Ni). The density of the fluid is approximately 1 g/mL (?). The reactor is used to culture cells in a media that can be considered to be Newtonian. As the cells grow, the viscosity of the media increases. Utilize the mixing figures presented in lecture notes for inputs. Be careful with the unit conversion. a. Compare the power requirements (P) when the viscosity (?) is: i. Approximately that of water (10^-2 Pa s) ii. 100 times that of water iii. 1000 times that of water. First identify Rei to determine whether this is laminar or turbulent regime. Then use appropriate power equation to calculate the required power. b. Determine the minimum power required to achieve turbulence for the case where the viscosity is 100 times that of water. Estimate the new Ni to make Rei = 4000. Then calculate P.

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Mechanical Engineering: Determine minimum power required to achieve turbulence
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