Lecture5_4 - 10/7/2010 AME 331 Introduction to Fluid...

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10/7/2010 1 AME 331 Introduction to Fluid Mechanics Chapter 5: Differential Analysis of Fluid Motion Prof. Jesse Little University of Arizona 10/4/10 1 Lecture Preview and Assignments Today Finish Chapter 5.3 and start 5.4 Read Chapter 5.4 for next time You are not responsible for Chapter 5.5, but some of you may find it interesting Vorticity video Deformation video Homework 6 posted today, due next Friday as usual Exam returned Monday 2
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10/7/2010 2 Kinematics (5-3) Angular Deformation We mentioned this last time. Recall that we said the angular deformation of the particle was defined as the sum of the two angular deformations 3 Kinematics (5-3) We also defined these angles based on small angle approximations. We then expressed this in terms of the flow field using a Taylor series expansion 4
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10/7/2010 3 Kinematics (5-3) Using these definitions we can compute the rate of angular deformation of the particle 5 Kinematics (5-3) This should begin to look familiar. Earlier in the course we said
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Lecture5_4 - 10/7/2010 AME 331 Introduction to Fluid...

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