Lecture7_3 - 10/27/2010 AME 331 Introduction to Fluid...

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10/27/2010 1 AME 331 Introduction to Fluid Mechanics Chapter 7: Dimensional Analysis and Similitude Prof. Jesse Little University of Arizona 10/27/10 1 Lecture Preview and Assignments Today 7.5-7.6 (may extend into Friday) Read 8.1-8.2 Homework 8 due Friday by 2pm Exam 2: Chapters 5, 6, 7 Fri 11/5? Preliminary Grades are posted 2
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10/27/2010 2 Preliminary Grade Stats A>85, 85>B>74, 74>C>62, 62>D>51, F<51 You still have more than 60% of your grade to earn 3 Dimensionless Groups (7-5) Hundreds of dimensionless numbers exist. We will talk about some most relevant to fluid mechanics Reynolds Number Osbourne Reynolds (1842-1912) In most problems, there is a characteristic length and velocity, as well as density and viscosity, hence the Reynolds number generally will come into play It is the ratio of inertia force ( fluid momentum ) to viscous force ( friction forces ) Determines the flow regimes (e.g. transition from laminar flow to turbulent flow) 4
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10/27/2010 3 Dimensionless Groups (7-5) Re >> 1 Inertial forces dominate Flow can be considered inviscid in many cases (except close to solid surfaces) Frictional effects could be ignored in many cases (except close to solid surface) Majority of practical applications Re << 1 Viscous forces dominate Inertial forces can be neglected
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Lecture7_3 - 10/27/2010 AME 331 Introduction to Fluid...

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