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Lecture9_1

# Lecture9_1 - AME 331 Introduction to Fluid Mechanics...

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11/16/2010 1 AME 331 Introduction to Fluid Mechanics Chapter 9: External Incompressible Viscous Flow Prof. Jesse Little University of Arizona 11/17/10 1 Lecture Preview and Assignments Today 9.1-9.3 Read 9.4 HW 10 due Friday No Class on Monday 2

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11/16/2010 2 Boundary Layer (9-1) Concept introduced by Prandtl in 1904. Before this was great division between theoretical hydrodynamics and hydraulics (practical) Division was due to Euler’s equation (inviscid) (1755) which practicing engineers knew did not work Navier-Stokes (early 1800s) came later, but this didn’t help since it could only be solved for a few simple cases Prandtl realized the boundary layer concept which allowed the flow to be analyzed in two regions Near surface where viscosity is important Away from surfaces where (at high enough Re) Euler applies This discovery marked the beginning of modern fluid dynamics 3 Flat plate parallel to flow Re=0.1: Fluid affected well upstream, above, below and behind the plate. Re=10: The region where viscous effects are important becomes smaller Re=10 7 : Viscous effects are negligible everywhere except very close to the plate (boundary layer) Boundary Layers (9-1) 4
11/16/2010

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Lecture9_1 - AME 331 Introduction to Fluid Mechanics...

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