| Ch 3. Fluid Kinematics | Multimedia Engineering Fluids | ||||||
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Flow Descriptions |
Steady & Unsteady |
Streamlines, Streaklines |
Velocity & Acceleration |
Irrotational Flow |
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| Irrotational Flow | Case Intro | Theory | Case Solution |
| Chapter |
| 1. Basics |
| 2. Fluid Statics |
| 3. Kinematics |
| 4. Laws (Integral) |
| 5. Laws (Diff.) |
| 6. Modeling/Similitude |
| 7. Inviscid |
| 8. Viscous |
| 9. External Flow |
| 10. Open-Channel |
| Appendix |
| Basic Math |
| Units |
| Basic Fluid Eqs |
| Water/Air Tables |
| Sections |
| eBooks |
| Dynamics |
| Fluids |
| Math |
| Mechanics |
| Statics |
| Thermodynamics |
©Kurt Gramoll
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| Introduction |
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Tom was told that a steady free vortex is considered one type of irrotational flow. However, he is not convinced, and he would like to prove it mathematically. The velocity components of a two-dimensional free vortex are given by: vr = 0 and vθ = K/r where K is a constant and represents the strength of the vortex. |
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| Questions |
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Show that the vorticity of the free vortex is zero. Find the velocity potential associated with the free vortex. |
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| Approach |
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