Abstract
Oil film temperature distribution is a key factor in the solution of thermal problems in journal bearings. It allows to find the maximum oil film temperature, thermal distortions of bearing structure and heat flow to and from bearing. The paper describes the results of theoretical investigations into the basic factors in the solution of thermal problems, i.e. the oil film temperature distribution and maximum oil film temperature. The 4-lobe journal bearing operating at laminar oil film as well as in aligned conditions of journal and bush axis was considered. The oil film temperature distribution and maximum oil film temperature have been obtained from the numerical solution of bearing geometry, Reynolds, energy and viscosity equations. The results obtained and the applied code of computation lead to the solution of thermal problems of bearing operation.
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Abbreviations
- c t :
-
Specific heat of oil (J/kgK)
- D :
-
Bearing diameter (m)
- e :
-
Eccentricity (m)
- g :
-
Acceleration of gravity(m/s2)
- F stat :
-
Static load of bearing (N)
- \(\overline{H}(\varphi)\) :
-
Dimensionless oil film thickness, H = h/(R−r)
- \(\overline{H}_{\rm min}\) :
-
Dimensionless minimum oil film thickness at arbitrary position of journal in the bearing
- \(\overline{H}_{\rm c}\) :
-
Dimensionless oil film thickness of cylindrical bearing
- \(\overline{H}_{C{\rm min}}\), \(\overline{H}_{C{\rm max}}\) :
-
Dimensionless minimum and maximum oil film thickness at concentric position of journal in the bearing
- \(\overline{H}_{L_i} (\varphi)\) :
-
Dimensionless oil film thickness at the concentric position of journal in the bearing
- i :
-
Lobe number
- K T :
-
Thermal coefficient, \(K_{T}=\omega\cdot\eta_0/(c_t\cdot\rho \cdot g\cdot T_0\cdot\psi^2)\)
- L :
-
Bearing length (m)
- O b, O j, O L :
-
Centre of bearing, journal and lobe
- \(\overline{p}\) :
-
Dimensionless oil film pressure, \(\overline{p}= p\psi^{2}/(\eta\omega)\)
- p :
-
Oil film pressure (MPa)
- Pe :
-
Peclet’s number ρ cω r 2/h
- r, R Li :
-
Journal and lobe radius, (m)
- S 0 :
-
Sommerfeld number, \(S_{0}=F_{\rm stat}\cdot\psi^2/(L\cdot D\cdot\eta\cdot\omega)\)
- t :
-
Time (s)
- T :
-
Temperature of oil film, (°C)
- T 0 :
-
Temperature of supplied oil (°C)
- \(\overline{T}\) :
-
Dimensionless oil film temperature, \(\overline{T} =T/T_{0}\)
- \(\overline{z}\) :
-
Dimensionless axial coordinate
- α:
-
Attitude angle, (°)
- β:
-
Load Angle, (°)
- γ i :
-
Angle of lobe centre point (°)
- \(\varepsilon\) :
-
Relative eccentricity
- \(\phi \) :
-
Dimensionless time, \(\phi =\omega t\)
- η:
-
Dynamic viscosity of oil (Ns/m2)
- \(\overline{\eta}\) :
-
Dimensionless oil viscosity, \(\overline{\eta}=\eta/\eta_{0}\)
- η0 :
-
Dynamic viscosity of supplied oil, Ns/m2
- \(\varphi\) :
-
Peripheral co-ordinate (°)
- ρ:
-
Oil density (kg/m3)
- ω:
-
Angular velocity (s−1)
- ψ:
-
Bearing relative clearance (‰)
- ψsi :
-
Lobe relative clearance
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Ghoneam, S.M., Strzelecki, S. Thermal problems of multilobe journal bearing tribosystem. Meccanica 41, 571–579 (2006). https://doi.org/10.1007/s11012-006-9004-z
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DOI: https://doi.org/10.1007/s11012-006-9004-z