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Unformatted text preview: ENU 4133 – Chapter 4, Part 2 February 8, 2010 Chapter 4 – Differential Relations for Fluid Flow In scope of Exam #1 and/or HW #4 and #5 I 4.1 – acceleration field of a fluid I 4.2 – differential mass conservation (continuity) I 4.3 – differential momentum conservation I 4.3, 4.6, 4.10 – NavierStokes equation and solutions I 4.5 – differential energy equation Additional Chapter 4 material will be covered for Exam #2. Simplify and Solve NavierStokes Stepbystep procedure: I Determine components of equation to consider (usually, nonzero velocity terms) I Copy equation in component form. Multiple ways to express these – versions on last set of notes likely most convenient I Examine each term and remove those that are zero I You should now have an equation that is solvable I Write down boundary conditions (next slide) I Compute (usually) two integrals and determine velocity profile Boundary Conditions for NavierStokes I Usual: fixed velocity at walls V wall = V fluid ....
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 Spring '11
 Schubring
 Fluid Dynamics, Kinetic Energy, Momentum, diﬀerential energy equation

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