This section contains documents created from scanned original files and other documents that could not be made accessible to screen reader software. A "#" symbol is used to denote such documents.
The page contains supplemental study materials for many topics covered in the class, and a collection of exams and solutions from previous terms.
Supplemental Materials
Study materials table.
| SECTIONS |
STUDY MATERIALS |
| 1. Continuum Viewpoint and the Equation of Motion |
Sonin, A. A. "Fundamental Laws of Motion for Particles, Material Volumes, and Control Volumes." (PDF - 1.5 MB)
Table of Fluid Physical Properties (PDF)# |
| 2. Static Fluids |
Solution to Helium Balloon Problem (PDF) |
| 3. Mass Conservation |
Simple Example: Piston (PDF - 2.4 MB) - A simple example showing a number of different ways in which the conservation of mass equation for a material volume can be used. |
| 4. Inviscid Flow |
Streamline Coordinates (PDF) - This document provides a derivation of the Bernoulli equation in streamline coordinates and provides an example.
Roadmap of Inviscid Flow Equations (PDF) - This page shows the interconnections between different formulations of the Euler Equation and Bernoulli Equation together with the assumptions required to derive each representation. |
| 5. Control Volume Theorems |
Navier-Stokes Equation Sheet (PDF)# |
| 6. Navier-Stokes Equation and Viscous Flow |
Viscous Flow (PDF)# - Outline of the derivation of the Navier-Stokes equations plus discussions of the stress tensor and also the bulk viscosity.
Criteria for Locally Fully Developed Flow (PDF) - This document summarizes the scaling and nondimensional arguments used in deciding if a flow is locally fully developed.
Slider Block Example (PDF)# |
| 8. Potential Flow |
Potential Flow Formula Sheet (PDF) (Courtesy of Brenden Epps. Used with permission.) |
| 9. Boundary Layers, Separation and Drag |
Generalized Boundary Layers (PDF) - Some notes on scaling the boundary layer equations. |
| 10. Potential Flow, Lift, Drag and Thrust |
Wingtip Vortices
General overview
NASA's Autonomous Formation Flight (AFF) Photos
Vortex Ring Guns - A quick Web search shows that these "non-lethal weapons" are still actively being considered. |
Previous Exams and Solutions