Hydrodynamic Lubrication 2011 Part 2 doc

... the negative 2. 2 Reynolds’ Theory of Hydrodynamic Lubrication 21 1. If U 1 = U and U j = U,RHS= 6µ  0 + 2U ∂h ∂x  = 12 U ∂h ∂x 2. If U 1 = 0 and U j = U, RHS = 6µ  −U ∂h ∂x + 2U ∂h ∂x  = ... U 2 = V 2 = 0, the above equation becomes: ∂ ∂x  h 3 ∂p ∂x  = 6µU 1 ∂h ∂x (2. 21) This is Reynolds’ equation in the simplest case. 2. 2 Reynolds’ Theory of Hydrodynamic Lubrication...

Ngày tải lên: 11/08/2014, 08:21

... ν t  ∂u ∂y  2 − ε − 2  ∂k 1 /2 ∂y  2 (9 .22 ) Dε Dt = ∂ ∂y  ν + ν t σ ε  ∂ε ∂y  + C ε1 ν t  ∂u ∂y  2 ε k −C 2  1 − 0.3exp(−R t 2 )  ε 2 k + 2 ν t  ∂ 2 u ∂y 2  2 (9 .23 ) where σ k , ... C µ k 2 ε (9 .24 ) 20 6 9 Turbulent Lubrication τ + = l m + 2  ∂u + ∂y +  2 (9. 32) reveals that this is of the same form as Eq. 9. 12, and should apply in the r...

Ngày tải lên: 11/08/2014, 08:21

... m WWjrjjW mmm l ⎛⎞ ⎜⎟ ′′ =+−−+ ⎜⎟ ⎝⎠ θ ϕ θϕ ϕ (9A) () () 2 2 22 2 2 2 2 cos 31cos3 cos CC R P R r IImhrI mWmrj W l ⎛⎞ ⎡ ⎤ ′ =+ + + + − + ⎜⎟ ⎢ ⎥ ⎣ ⎦ ⎝⎠ θ θθ ϕ (10A) () () 2 2 2 cos cos 2tantan cos cos 23 22 1sincos2 32 R PR R rr II ll mW ... ⎢⎥ − ⎢⎥⎢⎥ ⎢⎥ ⎢⎥ ⎢⎥ ⎢⎥⎢⎥ ⎢⎥ ⎣⎦ ⎣⎦ ⎣⎦ ⎣⎦⎣⎦ − − + − −         32 32 2 1 22 11 32 32 2 2 12 6 00 12 6 00 64 00...

Ngày tải lên: 19/06/2014, 15:20

... et al. (20 06); (b) Melton (20 05); (c) Tang (20 06); (d) Christopher & Peck (20 04); (e) Iakovou et al. (20 07); (f) Zhu et al. (20 08); (g) Gottberg et al. (20 06); (h) Bowen et al. (20 01); (i) ... Malone, L. C. (20 08). Determining a cost-effective customer service level. Supply Chain Management: An International Journal, Vol. 13, No. 3, pp. 22 5 -23 2 Kainuma, Y. & Tawara, N...

Ngày tải lên: 20/06/2014, 04:20

... 2, 1 1 ,2 1 ]][[),(    nrcn AHHjiA 2, 1 1 ,2 11 ]][[),(    nrcn AGHjiD 2, 1 1 ,2 12 ]][[),(    nrcn AHGjiD 2, 1 1 ,2 13 ]][[),(    nrcn AGGjiD (7) where (i,j) Є R 2 , ... financial support from the Academy of Finland (project numbers: 123 579, 1.1 .20 08-31. 12 .20 11, and 126 873, 1.1 .20 09-31. 12 .20 11) . 9. References Cerutti, S., Bersani,...

Ngày tải lên: 21/06/2014, 19:20

... 1 1 2 0.0800 - 0. 027 1 0.0 927 0.0670 -0.0046 0.0307 - * 0.0143 0. 029 5 0. 027 3 0.3787 -0.0 729 0.0686 G W W                1.0094 1 .26 10 0.80 62 2. 1595 Determinant (G) = 2. 2588 ... 1 1 2 0.0800 - 0. 027 1 0.0 927 0.0670 -0.0046 0.0307 - * 0.0143 0. 029 5 0. 027 3 0.3787 -0.0 729 0.0686 G W W                1.0094 1 .26 10 0.80 62 2. 15...

Ngày tải lên: 21/06/2014, 19:20

... 10 .20 5.44 5.34 20 .00 9.08 16.08 8.76 8.90 30.00 12. 76 20 .58 12. 20 12. 28 40.00 15.90 25 .48 15.06 14.76 50.00 18.30 31 .22 17.98 17.80 60.00 21 .64 34.76 20 . 62 20 .28 70.00 23 . 92 37.74 22 .56 23 .08 ... 10 .20 5.44 5.34 20 .00 9.08 16.08 8.76 8.90 30.00 12. 76 20 .58 12. 20 12. 28 40.00 15.90 25 .48 15.06 14.76 50.00 18.30 31 .22 17.98 17.80 60.00 21 .64 34.76 20 ....

Ngày tải lên: 21/06/2014, 23:20

... Basic Equations 121 6 .2 Finite Element Solution of the Basic Equations 122 6 .2. 1 Reynolds’ Equation 122 6 .2. 2 Equation of Balance for the Foil 125 Contents IX 6 .2. 3 SolutionProcedure 126 6.3 Characteristics ... 8 2 Foundations of Hydrodynamic Lubrication 9 2. 1 Tower’s Experiment . . . . 9 2. 2 Reynolds’ Theory of Hydrodynamic Lubrication . . 11 2. 2.1 Interpretation...

Ngày tải lên: 11/08/2014, 08:21

... circumferential speed of the journal U 2 is along the inclined surface, and Eq. 2. 20 becomes: ∂ ∂x  h 3 ∂p ∂x  + ∂ ∂z  h 3 ∂p ∂z  = 6µ  (U 1 + U 2 ) ∂h ∂x + 2V 2  (2. 24) It is this form of the equation ... (see Chapter 5). 22 2 Foundations of Hydrodynamic Lubrication surface of 2. 10a,ba and the upper surface of 2. 10a,bb are equivalent, and they are called the moving...

Ngày tải lên: 11/08/2014, 08:21

... φ) 3 = 1 (1 − κ 2 ) 5 /2  ϕ − 2 sin ϕ + κ 2 ϕ 2 + κ 2 4 sin 2  (3.11) J 2 =  dφ (1 + κ cos φ) 2 = 1 (1 − κ 2 ) 3 /2  ϕ − κ sin ϕ  (3. 12) J 1 =  dφ 1 + κ cos φ = ϕ (1 − κ 2 ) 1 /2 (3.13) Now, ... distribution, becomes: p(ϕ) = 6µUR c 2  1 (1 − κ 2 ) 3 /2  ϕ − κ sin ϕ  − h m c(1 − κ 2 ) 5 /2  ϕ − 2 sin ϕ + κ 2 ϕ 2 + κ 2 4 sin 2  + C 2 (3.14)...

Ngày tải lên: 11/08/2014, 08:21