University:
Duke University
Course:
PHYSICS 151L9D | Introductory Mechanics (Discussion Component)
Academic year:

2023
Views:

496

Pages:

2
Author:

Pemuda H

=0.664 If you have a flat plate: Die Exa 0.45 a = = 10.45 U Another professor, White, did T=(x+0.09)0.62 8* = [x+(x+0.09) 0.62-0 0.225] When X then sx = o so.... Slim 1+0.62 (x+0.09) 0.62-1 = 2.550 H=2.55 Ex.) wall (x) Laminar K0.1 In compressor, velocity slows down U, = 160 m/s le(x)=160-160x V = 14.8.10-6 m² 2 S ← do+ dx dile dx Ue (2+H) = pur dile dx=-160 Need to find o(x). H = [x+(x+0.09) 0.62 0.225] due 2x) (Mex)) = 90045 x (elf)) d 6 =+ X 5 U1 ιχι) = θι = 0 O= 'x 9) 0.45 (160) (()) } = 45 (1-x) (1-5)} Θ²(x) 5 0.45 160 = 160 Ue(x) u = 1-3 = du=-d} }=0 => u=1 }=x u=1-x = - Sus du 5 1-x Solve for (x) then solve for ow(x). Turbulent Boundary Layer (4.2.3) average u(x, y, z, t) = u(x, y, z) + u'(x, y, z,t) How do you model this? 1. Eddy Viscosity du Twpray +ρε El dy where I is the mean free path Typically model kinetic energy of fluctuations K = ½ (u² + v1²+w12) 2. Reynolds stress model 3. LES model the small-scale and solve for the large scale 4. DNS - don't model anything. too expensive for engineers Flow in a pipe (4.2.3.1) - Sprido 2 πr² Δρ - 2ππι = 0 mom: ARAP - 2πRLTW = 0 RAP = 24ω rop = 217 RAP Why does this have no velocity friction velocity nondimens ionalized y*≤5 Purely Laminar Friction - u+ = y + 5

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