Hydrodynamic Lubrication 2011 Part 3 pps

... way as for Eq. 3. 35 and Eq. 3. 36: M j = 2πµUR 2 L c 1 2(1 − κ 2 ) 1/2  2 + 3 2 2 + κ 2  ≡ M ¯m j (κ) (3. 47) M b = 2πµUR 2 L c 1 2(1 − κ 2 ) 1/2  2 − 3 2 2 + κ 2  ≡ M ¯m b (κ) (3. 48) where ... equation: 3. 4 Finite Length Bearings 45 ∂ ∂x  h 3 ∂p ∂x  = h 3 i+1/2, j p i+1, j − p i, j ∆x − h 3 i−1/2, j p i, j − p i−1, j ∆x ∆x (3. 69) ∂ ∂z  h 3 ∂p ∂z  = h 3 i, j+1/2...

Ngày tải lên: 11/08/2014, 08:21

... [16]: p(φ) 6µω(R j /c) 2 =  J 2 (φ) − J 2 (π) J 3 (π) J 3 (φ)  +  J 3 s (φ) − J 3 s (π) J 3 (π) J 3 (φ)  2˙κ ω −  J 3 c (φ) − J 3 c (π) J 3 (π) J 3 (φ)  2κ ˙ θ ω (5.9) where J k (φ) =  φ 0 dφ (1 ... + ∂ ∂θ  h 0  θ dz = 0 (4 .33 ) Substituting Eq. 4 .30 and Eq. 4 .31 into Eq. 4 .33 yields Reynolds’ equation in cylindrical coordinates as follows: ∂ ∂r  h 3 12µ ∂p...

Ngày tải lên: 11/08/2014, 08:21

... J.J. Van Rossum, “The Foil Bearing - A New Departure in Hydrodynamic Lu- brication”, Lubrication Engineering, Vol. 9, No. 6, December, 19 53, pp. 31 6 - 32 0. 2. A. Burgdorfer, “The Influence of the ... 6.13e-g shows mode 6, 7, and 8 patterns found for only slightly different experimental conditions. (b) mode 3 (c) mode 4 (d) mode 5 Fig. 6.13b-d. Moire patterns on a foil disk (2) [16]....

Ngày tải lên: 11/08/2014, 08:21

... 2 03, 214 K ´ arm ´ an constant 202 Kingsbury bearing 48 Knudsen number 59, 131 leakage of lubricating oil 43 Leonardo da Vinci 5 limit cycle 98 locus of journal center 33 , 39 , 42 lubricant 1 lubrication ... Colloques Internationaux du C.N.R.S., Vol. 2 23, 1975, pp. 34 5 - 34 8. Index 231 - preload factor 107 thrust bearing 23, 47 tilting pad bearing 23, 48, 1 13 time-average equa...

Ngày tải lên: 11/08/2014, 08:21

... LRD Sau Trước LPP Sau C0 c0 c0 c1 c0 c1 c1 c0 c1 c1 c1 c2 c2 c1 c2 c2 c2 c3 c3 c2 c3 c3 c3 c4 c4 c3 c4 c4 c4 c5 c5 c4 c5 c5 c5 c6 c6 c5 c6 c6 c6 c7 c7 c6 c7 c7 c7 c8 c8 c7 c8 ... sau: Trước ALD Sau m= c0^ c1 c0 m c1 c2 c2 c3 c3 c4 c4 c5 c5 c6 c6 c7 c7 c8 c8 Trước OLD Sau m= c0 v c1 c0 m c1 c2 c2 c3 c3 c4 c4 c5 c5 c6 c6 c7 c7 c8 c8 LOGIC PUSH ... s...

Ngày tải lên: 13/07/2014, 20:20

... foundation of the theory of hydrodynamic lubrication. Recently developed theories of elastohy- drodynamic lubrication, thermohydrodynamic lubrication, turbulent hydrodynamic lubrication, and others ... used. This circle, shown in Fig. 3. 3a,ba, is called the clearance circle. The clearance circle is 2 Foundations of Hydrodynamic Lubrication The essence of hydrodynamic lubricat...

Ngày tải lên: 11/08/2014, 08:21

... way as for Eq. 3. 35 and Eq. 3. 36: M j = 2πµUR 2 L c 1 2(1 − κ 2 ) 1/2  2 + 3 2 2 + κ 2  ≡ M ¯m j (κ) (3. 47) M b = 2πµUR 2 L c 1 2(1 − κ 2 ) 1/2  2 − 3 2 2 + κ 2  ≡ M ¯m b (κ) (3. 48) where ... π 2 (1 − κ 2 )} 1/2 (3. 62) Further, from Eq. 3. 59 and Eq. 3. 60, we can write the locus of the bearing center as: tan θ = π(1 − κ 2 ) 1/2 4κ (3. 63) This is shown in Fig. 3. 13. The...

Ngày tải lên: 11/08/2014, 08:21

... to Eq. 3. 33 and Eq. 3. 34: τ y=0 = − µU h − h 2 dp dx (4.19) τ y=h = − µU h + h 2 dp dx (4.20) 3. 4 Finite Length Bearings 45 ∂ ∂x  h 3 ∂p ∂x  = h 3 i+1/2, j p i+1, j − p i, j ∆x − h 3 i−1/2, ... + ∂ ∂θ  h 0  θ dz = 0 (4 .33 ) Substituting Eq. 4 .30 and Eq. 4 .31 into Eq. 4 .33 yields Reynolds’ equation in cylindrical coordinates as follows: ∂ ∂r  h 3 12µ ∂p ∂r + G c  + 1 r...

Ngày tải lên: 11/08/2014, 08:21

... Basic Equations for Thermohydrodynamic Lubrication Hydrodynamic lubrication that takes heat generation and temperature rise into con- sideration is called thermohydrodynamic lubrication, orTHL. To ... follows: ∂ ∂x  F 2 ∂p ∂x  + ∂ ∂z  F 2 ∂p ∂z  = ∂ ∂x  F 4 − F 3 F 0  u  + ∂ ∂z  F 4 − F 3 F 0  w  (8.12) where F 0 =  h 0 dy µ , F 1 =  h 0 ydy µ (8. 13) F 2 = F 1 F 0 F...

Ngày tải lên: 11/08/2014, 08:21

... variational method 150 Holm, R. 6 hydrodynamic bearing 23 hydrodynamic lubrication 3, 6, 9 hydrostatic bearing 23 infinitely long (journal) bearings 29 infinitely long bearing 31 infinitely long plane pad ... 2 03 turbulent flow loss 2 03 turbulent lubrication 197 turbulent lubrication theory - k-ε model 215 - mixing length model 204 turbulent shear stress 199 turbulent viscosity...

Ngày tải lên: 11/08/2014, 08:21