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 Prototype Impeller diameter, D, = 20 cm Density, p = 1200 kg/m³ Rotation speed, N = 10 s Model 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?

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 Prototype Impeller diameter, D, = 20 cm Density, p = 1200 kg/m³ Rotation speed, N = 10 s Model 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?

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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