| Ch 6. Modeling and Similitude | Multimedia Engineering Fluids | ||||||
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Dimensional Analysis |
Similitude |
Dimensionless Groups |
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| Similitude | 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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A 1:10 scale model of an attack submarine is being tested in a water tunnel. The drag force ratio the submarine in the deep sea and the submarine model in the tunnel need to be estimated. The submarine cruises at 4 m/s in seawater (viscosity, μ = 1.2×10-3 N-s/m2 and density, ρ = 1,030 kg/m3). The fresh water in the tunnel is maintained at a temperature of 40 oC. |
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| Questions |
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What should the velocity of the model be in the tunnel? Determine the drag force ratio of the submarine prototype and model. |
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| Approach |
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