Advanced Engineering Dynamics 2011 Part 3 pptx

Advanced Engineering Dynamics 2010 Part 3 ppt

Advanced Engineering Dynamics 2010 Part 3 ppt

... dxdt=O Carrying out the variation t2 +=L s,,.Lo[ p‘(&)6($) -T($)6($)pd2=O (3. 15) (3. 16) (3. 17) (3. 18) To keep the process as clear as possible we will consider the two terms separately. ... the time integral will be integrated by Parts because 6u = 0 at t, and t2. The second term in equation (3. 18) is Integrating by parts gives (3. 19) 50 Hamilton S...

Ngày tải lên: 10/08/2014, 20:20

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Vorticity and Vortex Dynamics 2011 Part 3 pptx

Vorticity and Vortex Dynamics 2011 Part 3 pptx

... and (3. 93) , k (1) V (x) ≡ 1 2 ω · ψ, (3. 97a) k (2) V (x) ≡ (ω × u) · x =(x × ω) · u, (3. 97b) 114 3 Vorticity Kinematics ∂ϕ ∂t + 1 2 q 2 + φ ∗ + χ = C(t). (3. 145) Alternatively, since (3. 63) implies ... =0, where Ω is the Largangian vorticity defined by (3. 133 a). Therefore, due to the arbitrariness of c, we return to (3. 134 ), which is equivalent to (3. 130 ). Thus, we arrive at the...

Ngày tải lên: 11/08/2014, 17:22

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Computational Fluid Dynamics 2011 Part 4 pptx

Computational Fluid Dynamics 2011 Part 4 pptx

...                  ,    (34 ) where   ,      √∆ 0   (35 ) then replacing                   (36 ) By applying these assumptions to the ... effects, we get Euler’s fluid flow equation announced in 1750. Computational Fluid Dynamics 112 Fig. 3. Solutions of the same problem with a RANS model (on the left) and LES...

Ngày tải lên: 21/06/2014, 18:20

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