Lecture8_4

Lecture8_4 - 11/7/2010 AME 331 Introduction to Fluid...

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11/7/2010 1 AME 331 Introduction to Fluid Mechanics Chapter 8: Internal Incompressible Viscous Flow Prof. Jesse Little University of Arizona 11/8/10 1 Lecture Preview and Assignments Today 8.4-8.6 HW 9 posted and due Friday Mention cylindrical cv and force balance 2
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11/7/2010 2 Example 8-3 3 8.46: Consider first water then SAE 10W lubricating oil flowing at 40 C in a 6 mm diameter tube. Determine the max flow rate and corresponding pressure gradient for each fluid at which laminar flow would be expected. Chapter 8 so far Steady, fully developed laminar flow Parallel plates Stationary One plate moving Gravity (body force) and pressure driven (surface force) Pipes All derived from same principles with relevant BC and coordinate systems Found lots of info Velocity profile, shear stress, volume flow rate, average velocity, max velocity Rest of the chapter will focus mainly on pipes/ducts 4
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11/7/2010 3 Shear Stress in FD Pipe Flow (8-4) 5 Shear Stress in FD Pipe Flow (8-4) 6 For steady, fully developed, laminar flow we found that pressure and shear forces balance one another (8.15) This expression is also valid for turbulent flow The definition of the shear stress is where things become very different. For Laminar flow we have:
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This note was uploaded on 08/25/2011 for the course AME 331 taught by Professor Zohar during the Fall '08 term at Arizona.

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Lecture8_4 - 11/7/2010 AME 331 Introduction to Fluid...

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