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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