Lecture8_1 - AME 331 Introduction to Fluid Mechanics...

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10/28/2010 1 AME 331 Introduction to Fluid Mechanics Chapter 8: Internal Incompressible Viscous Flow Prof. Jesse Little University of Arizona 10/29/10 1 Lecture Preview and Assignments Today Finish Chapter 7 and start Chapter 8 Read 8.2 Homework 8 due Friday by 2pm Exam 2: Chapters 5, 6, 7 Fri 11/5 2
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10/28/2010 2 Similarity and Models (7-6) 3 Incomplete Similarity Ideally we will equate all the independent dimensionless parameters thus rendering similarity between the dependent parameter in the model and prototype This is easy with only 1 independent parameter, but becomes more challenging as the number of independent parameters increases We may have to choose the most important parameter and live with not matching the others Consider drag force on a ship. Similarity and Models (7-6) Froude number matches wave resistance in the model and prototype Difficult to model analytically If we now want to match Re, it cannot be done with velocity change and size change. Kinematic viscosity adjustment is all that we have left to work with. If you run the numbers, (see the text) you find that the ratio of kinematic viscosity between model and prototype is 1/1000. Good luck finding a suitable liquid for this Can’t use air We have to pick either Fr or Re matching 4
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10/28/2010 3 Similarity and Models (7-6) It is best to pick Fr matching since there is no analytical way to predict wave resistance.
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