Introduction to Chemical Engineering Thermodynamics
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN: 9781259696527
Author: J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher: McGraw-Hill Education
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1) Consider the infinitely tall, annular mixing tank. The fluid to be mixed is between the inner cylinder and the outer wall. The fluid is mixed by a spinning the inner cylinder at an angular velocity of Ω (s⁻¹). The tank has an inner radius of R (m) and the inner cylinder has a diameter of k (m). There is no net flow in the vertical or radial directions.

Answer the following questions about this system:

**Diagrams Explanation:**

- **Top View Diagram:** 
  - Displays a circular tank with an inner and outer part.
  - The inner circle represents the rotating cylinder with an angular velocity of Ω, and its radius is indicated by "k".
  - The space between the inner cylinder and the outer boundary of the tank holds the fluid to be mixed. The outer radius of the tank is labeled "R".

- **Side View Diagram:** 
  - Shows a vertical cross-section of the tank.
  - The inner cylinder is rotating with angular velocity Ω.
  - The fluid is present in the annular space between the rotating inner cylinder and the stationary outer wall.
  - The parameters k and R are also illustrated for clarity. 

These diagrams serve to visualize the setup of the mixing tank from both the top and side perspectives, explaining how the fluid is mixed in the annular region.
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Transcribed Image Text:1) Consider the infinitely tall, annular mixing tank. The fluid to be mixed is between the inner cylinder and the outer wall. The fluid is mixed by a spinning the inner cylinder at an angular velocity of Ω (s⁻¹). The tank has an inner radius of R (m) and the inner cylinder has a diameter of k (m). There is no net flow in the vertical or radial directions. Answer the following questions about this system: **Diagrams Explanation:** - **Top View Diagram:** - Displays a circular tank with an inner and outer part. - The inner circle represents the rotating cylinder with an angular velocity of Ω, and its radius is indicated by "k". - The space between the inner cylinder and the outer boundary of the tank holds the fluid to be mixed. The outer radius of the tank is labeled "R". - **Side View Diagram:** - Shows a vertical cross-section of the tank. - The inner cylinder is rotating with angular velocity Ω. - The fluid is present in the annular space between the rotating inner cylinder and the stationary outer wall. - The parameters k and R are also illustrated for clarity. These diagrams serve to visualize the setup of the mixing tank from both the top and side perspectives, explaining how the fluid is mixed in the annular region.
2. Simplify the r-equation of motion (remove zero terms) and write it below:
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Transcribed Image Text:2. Simplify the r-equation of motion (remove zero terms) and write it below:
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