Abstract
In the present analysis the interactions of thermal and inertia effects on the performance of non-Newtonian squeeze films have been investigated. The numerical results for pressure drop and inertia correction in load have been obtained and their behaviours are illustrated in figures. The theoretically predicted results of pressure drop for the Newtonian lubricant have also been compared with experimental results of Tichy and Winer which are in close agreement at 70°F to illustrate the importance of the study.
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Abbreviations
- A, B, C :
-
coefficient, function of n only
- C v :
-
specific heat of the lubricant at constant volume
- g :
-
gravitational acceleration
- h :
-
film thickness
- \(\dot h\) :
-
velocity of the moving disk
- \(\ddot h\) :
-
acceleration of the moving disk
- K :
-
thermal conductivity of the lubricant
- m,n :
-
empirical constants in power law
- N :
-
\({{h\ddot h} \mathord{\left/{\vphantom {{h\ddot h} {\dot h^2 }}} \right.\kern-\nulldelimiterspace} {\dot h^2 }}\), acceleration squeeze number
- p :
-
pressure
- p*:
-
\(\left[ {p\left( {r, t} \right) - p\left( {R, t} \right)} \right]\rho h^{2n}\)/m 20 \(\left| {\dot h} \right|^{2n - 2}\)the dimensionless pressure drop
- r :
-
radial coordinate
- R :
-
radius of the moving disk
- r*:
-
r/h, dimensionless radial coordinate
- R*:
-
R/h dimensionless outer radius
- S :
-
\(f(n)\bar \beta\)
- t :
-
time
- T :
-
temperature
- T 0 :
-
temperature of the lubricant at r=R
- u :
-
radial component of velocity
- v :
-
axial component of velocity
- W :
-
load capacity
- W iso :
-
load capacity for isothermal case
- W inertialess :
-
load capacity neglecting inertia effects
- W Correc. :
-
inertia Correction in load capacity
- ρ :
-
density
- β :
-
coefficient of thermal expansion
- \(\bar \beta\) :
-
\({{\dot h^2 R^{ * 2} \beta } \mathord{\left/{\vphantom {{\dot h^2 R^{ * 2} \beta } {gC_\upsilon }}} \right.\kern-\nulldelimiterspace} {gC_\upsilon }}\), the dimensionless thermal parameter
- Re:
-
\({{p\dot h\left| h \right|^{1 - n} h^n } \mathord{\left/{\vphantom {{p\dot h\left| h \right|^{1 - n} h^n } {m_0 }}} \right.\kern-\nulldelimiterspace} {m_0 }}\)the Reynolds number
- iso:
-
isothermal
- Correc.:
-
Correction
- \(\dot h\) :
-
dh/dt
- \(\ddot h\) :
-
d2 h/dt 2
References
Ishizawa S: Bull JSME 9, 35 (1966) 533.
Kuzma DC: Appl Sci Res 18 (1967).
Tichy JA, WO Winer: Trans ASME J Lub Tech 92 Series F, No. 2 (1970) 588.
Ramanaiah G: Appl Sci Res 18 (1967) 183.
Elkouh AF: Int Mech Sci 9 (1967) 253.
Elkouh AF: J Lub Tech 76-Lub J (1976).
Ting LL, JE Mayer and JR Mayer: Trans ASME J Lub Tech 93 Series F, No. 2 (1971) 307.
Kapur VK, K Verma: Trans ASME J Lub Tech 97 Series F, No. 4 (1975) 647.
Kuzma, DC, ER Maki, RJ Donnelly: J F Mech 19 (1964) 395.
Davies and Walter: J.N.N.F.M., 1 19 (1976) 26.
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Yadav, J.S., Kapur, V.K. The simultaneous effects of thermal and inertia on the performance of non-newtonian squeeze films. Appl. Sci. Res. 35, 357–366 (1979). https://doi.org/10.1007/BF00420385
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DOI: https://doi.org/10.1007/BF00420385