### Principles of Turbomachinery

#### ME 43300 / 3 Cr. (3 Class)

Unified treatment of principles underlying fluid mechanic design of hydraulic pumps, turbines, and gas compressors. Similarity and scaling laws. Cavitation. Analysis of radial and axial flow machines. Blade element performance. Radial equilibrium theory. Centrifugal pump design. Axial compressor design.

**Available Online:** No

**Credit by Exam:** No

**Laptop Required:** No

**Prerequisites/Co-requisites:**

P: ME 20000 and 31000.

##### Textbooks

J.L. Kerrebrock, Aircraft Engines and Gas Turbines,, Second Edition, The MIT Press, London, 1996.

##### Goals

This course will introduce basic ideas of turbomachinery and the basic equations that govern the performance of turbomachinery. The introductory course aims at teaching the students in cycle analysis, efficiency calculation, and flow and energy analysis.

##### Outcomes

**After completion of this course, the students should be able to:**

- Be able to give precise definition of turbomachinery.
- Identify various types of turbomachinery.
- Perform thermal cycle analysis on gas-turbine engines.
- Perform fluid dynamic analysis of diffusers.
- Apply the Euler's equation for turbomachinery to analyze energy transfer in turbomachines.
- Apply three-dimensional velocity diagrams to turbomachine analysis.
- Design axial-flow turbines and compressors.
- Design radial-flow turbomachines.
- Compute efficiencies of various turbomachines.

##### Topics

- Introduction: Definition and Types of Turbomachines
- Definition
- Types of Turbomachines

- Basic Theories of Turbomachinary and Their Applications
- Angular Momentum Principle
- Euler turbomachine Equation
- Velocity Diagram
- Performance Parameters
- Sample Applications

- Basic Concepts of Gas Turbines and Cycle Analysis
- Efficiency
- Turbojets and Turbofans
- Qualitative Analysis
- Compressor and Turbine Efficiency

- Non-rotating Components
- Summary of Gas Dynamics
- Diffusers
- Nozzles
- Combustors

- Compressors
- Energy exchange, Rotor to Fluid
- The Euler Equation
- Stage Temperature Ratio
- Compressor Geometry and the Flow Pattern
- Subsonic Blading
- The Loss Factor and Efficiency
- Limits on Stage Pressure Ratio
- Stage Performance
- Multistage Compressors
- Centrifugal Compressors

- Turbines
- Turbine Stage Characteristics
- Degree of Reactions, Pressure Ratio
- Turbine Blading
- Turbine Cooling
- Turbine Efficiency and Turbine Cooling
- Turbine Similarity

##### References

Fox, McDonald, and Pritchard, Introduction to Fluid Mechanics, Sixth Edition, John Wiley and Sons, New York, 2004.