Loading...

ME201: Fluid Mechanics

Unit 4: Application of Differential Analysis   *Application of differential analysis allows the determination of how properties such as fluid velocity and pressure vary within a volume of interest.  For example, we might be interested in the details of fluid flow within a conduit, through a turbine, or over an airplane wing.

In those applications, we chose a volume of interest with appropriate boundary conditions and integrate the governing differential conservation equations to obtain distributions or profiles of quantities of interest.  * 

Unit 4 Time Advisory
This unit will take you approximately 13 hours to complete.

☐    Subunit 4.1: 2 hours

☐    Subunit 4.2: 2 hours

☐    Subunit 4.3: 6 hours

☐    Subunit 4.4: 3 hours

Unit4 Learning Outcomes
Upon successful completion of this unit, the student will be able to:
- Define a fluid element and its motions. - Derive the Navier-Stokes equations. - Perform differential analysis of fluid flows. - Obtain exact solutions for the Navier-Stokes equations for simplified geometries and flow conditions.

4.1 Kinematics and Deformation   - Reading: University of Iowa: Professor Fred Stern’s Lectures Notes on Fluid Mechanics: “Chapter 6: Differential Analysis of Fluid Flow” Link: University of Iowa: Professor Fred Stern’s Lectures Notes on Fluid Mechanics: “Chapter 6: Differential Analysis of Fluid Flow” (PDF)
 
Instructions: Please download the PDF file for Chapter 6 and read pages 1-5.  In this reading, you will learn how about motions of fluid element, which include translation, linear deformation, rotation, and angular deformation.
 
Terms of Use: Please respect the copyright and terms of use displayed on the webpage above.

4.2 Mass Conservation and Linear Momentum   - Reading: University of Iowa: Professor Fred Stern’s Lectures Notes on Fluid Mechanics: “Chapter 6: Differential Analysis of Fluid Flow” Link: University of Iowa: Professor Fred Stern’s Lectures Notes on Fluid Mechanics: “Chapter 6: Differential Analysis of Fluid Flow” (PDF)
 
Instructions: Please download the PDF file for Chapter 6 and read pages 6-12.  In this reading, you will be introduced to the continuity and momentum balance equations in differential form.
 
Terms of Use: Please respect the copyright and terms of use displayed on the webpage above.

4.3 The Navier-Stokes Equations   - Reading: University of Iowa: Professor Fred Stern’s Lectures Notes on Fluid Mechanics: “Chapter 6: Differential Analysis of Fluid Flow” Link: University of Iowa: Professor Fred Stern’s Lectures Notes on Fluid Mechanics: “Chapter 6: Differential Analysis of Fluid Flow” (PDF)
 
Instructions: Please download the PDF file for Chapter 6 and read pages 12-37.  In this reading, you will learn how to derive the Navier-Stokes equations.
 
Terms of Use: Please respect the copyright and terms of use displayed on the webpage above.

Review Questions for Unit 4   - Assessment: The Saylor Foundation’s “ME201: Unit 4 Assessment” Link: The Saylor Foundation’s “ME201: Unit 4 Assessment” (HTML)
 
Instructions: Please perform this exercise.

 You must be logged into your Saylor Foundation School account in
order to access this quiz.  If you do not yet have an account, you
will be able to create one, free of charge, after clicking the
link.