4. Agitators are widely used for mixing purposes in chemical industries. Researchers want to estimate the actual power (P) required for agitation using a geometrically similar one-eighth model. For an un- baffled vessel, P is expected to depend on the rotation speed, the impeller diameter, acceleration due to gravity g and the density of the fluid being agitated. The following data apply Model Prototype Impeller diameter, D, = 20 cm Density, p = 1200 kg/m³ Rotation speed, N = 10 s1 D, = ? p = 1200 kg/m³ N = ? a) Use dimensional analysis to develop a suitable set of dimensionless groups for this problem. b) For the model, determine the values indicated in the table with a question mark. c) What will be the power ratio Pm/Pp?
4. Agitators are widely used for mixing purposes in chemical industries. Researchers want to estimate the actual power (P) required for agitation using a geometrically similar one-eighth model. For an un- baffled vessel, P is expected to depend on the rotation speed, the impeller diameter, acceleration due to gravity g and the density of the fluid being agitated. The following data apply Model Prototype Impeller diameter, D, = 20 cm Density, p = 1200 kg/m³ Rotation speed, N = 10 s1 D, = ? p = 1200 kg/m³ N = ? a) Use dimensional analysis to develop a suitable set of dimensionless groups for this problem. b) For the model, determine the values indicated in the table with a question mark. c) What will be the power ratio Pm/Pp?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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