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ME201: Fluid Mechanics

Unit 7: Compressible Flow   *In previous units, we have not considered compressibility as significant; it is generally not significant for liquid flows or for slow flows of gases.  However for fast gas flows such as in turbines, past projectiles, over airplane wings, and in some gas processing applications, compressibility can be a very important factor in determining characteristics of the flow.

In this unit will provide an introduction to the properties of compressible flows so that you may appreciate the simplicity of incompressible flow and anticipate possible future study or work.*

Unit 7 Time Advisory
This unit will take you approximately 15 hours to complete.

☐    Subunit 7.1: 4 hours

☐    Subunit 7.2: 4 hours

☐    Subunit 7.3: 4 hours

☐    Subunit 7.4: 3 hours

Unit7 Learning Outcomes
Upon successful completion of this unit, the student will be able to:
- Derive the conservation equations for compressible flow. - Define Mach number. - Solve simple engineering problems involving isentropic and non-isentropic compressible flows.

7.1 Fundamentals of Compressible Flow   - Reading: Prof. Gerald Recktenwald’s (Pennsylvania State University) notes on Compressible Flow Link: Prof. Gerald Recktenwald’s (Pennsylvania State University) notes on Compressible Flow (PDF)
 
Instructions: Scroll down to Lecture 13 and download and read the “slides” pdf (38 pages).
 
Terms of Use: Please respect the copyright and terms of use displayed on the webpage above.

7.2 Isentropic Flow and Stagnation   - Reading: MIT: Professor Professor Anette Hosoi’s Lectures Notes on Compressible Fluid Dynamics: “Lecture 2: Thermo, Ideal Gases, Steady Isentropic Flow, Stagnation State” Link: MIT: Professor Professor Anette Hosoi’s Lectures Notes on Compressible Fluid Dynamics: “Lecture 2: Thermo, Ideal Gases, Steady Isentropic Flow, Stagnation State” (PDF)
 
Instructions: Please click on the “PDF” hyperlink for Lecture 2 to download the file.  Read the entire document (8 pages).  This lecture will introduce you to the basic equations of isentropic flow.
 
Terms of Use: This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License. It is attributed to Professor Anette Hosoi and can be found in its original form here.

7.3 Non-Isentropic Flow, Friction, and Heating   - Reading: MIT: Professor Anette Hosoi’s Lectures Notes on Compressible Fluid Dynamics: “Lecture 4: Energy Equation, Entropy Equation, Flow with Fricton, Fanno Line” Link: MIT: Professor Anette Hosoi’s Lectures Notes on Compressible Fluid Dynamics: “Lecture 4: Energy Equation, Entropy Equation, Flow with Friction, Fanno Line” (PDF)
 
Instructions: Please click on the “PDF” hyperlink for Lecture 4 to download the file.  Read the entire document (7 pages).  This lecture will introduce you to the basic equations of non-isentropic flow.
 
Terms of Use: This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 3.0 United States License. It is attributed to Professor Anette Hosoi and can be found in its original form here.

Review Questions for Unit 7   - Assessment: The Saylor Foundation’s “ME201: Unit 7 Assessment” Link: The Saylor Foundation’s “ME201: Unit 7 Assessment” (HTML)
 
Instructions: Please perform this exercise.  This exercise should require less than 3 hours to complete.

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