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Analysis of Thermoelastohydrodynamic Lubrication of Journal Bearing including the Effect of Surface Roughness and Cavitation

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Abstract

A numerical approach is presented to simulate the combined effect of pressure, temperature, roughness and cavitation in the hydrodynamic plain journal bearing. The oil film temperature within the bearing increases because of shearing action. Consequently, the viscosity of lubricant reduces and hence the load capacity of the bearing decreases. Therefore, thermoelastohydrodynamic analysis of journal bearing is essential for better estimation of bearing performance. Finite difference method (FDM) is used to discretise the governing equations. Elastic deformation is obtained by influence coefficient method. Influence coefficient matrix is calculated through finite element method. Further, hydrodynamic pressure is determined by solving the three equations, namely Reynold’s equation, film thickness equation and energy equation, which are solved through FDM. Effect of surface roughness on pressure, temperature, friction and oil flow is studied. Results are compared with the existing published work and are in good agreement with it. There is a marginal increase in bearing deformation value with increase in eccentricity ratio up to 0.8, and there after a sharp rise is noticed for further higher eccentricity.

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Abbreviations

C :

Radial clearance

h :

Film thickness, h  =  h/c

D :

Shaft diameter

h conv :

Convective heat transfer coefficient

k 0 :

Thermal conductivity of lubricant

k b :

Thermal conductivity of bush

k a :

Thermal conductivity of air

L :

Length of bearing

P :

Oil pressure, \(\overline{P} = \frac{{C^{2} p}}{{\eta_{{\text{o}}} RU}}\)

P s :

Supply pressure

Q rec :

Recirculation flow rate

Q leakage :

End flow rate

Q supply :

Supply flow rate

R :

Shaft radius

R bi :

Bush inner radius, \(\overline{{r_{{\text{b}}} }} = \frac{{R_{{\text{b}}} }}{{R_{{{\text{bi}}}} }}\)

R bo :

Bush outer radius

T :

Oil temperature, \(\overline{T} = T/T_{{\text{i}}}\)

T i :

Oil inlet temperature

T b :

Bush temperature, \(\overline{{T_{{\text{b}}} }} = T_{{\text{b}}} /T_{{\text{i}}}\)

T a :

Ambient temperature

T rec :

Recirculation oil temperature

T supply :

Supply oil temperature

U :

Tangential velocity of shaft

u, v, w :

Velocity components in x, y and z directions,\(\overline{u} = \frac{u}{U},\quad \overline{v} = \frac{Rv}{{CU}},\quad \overline{w} = \frac{w}{U}\)

W :

Bearing load

x, y, z :

Coordinate system in x, y and z directions \(\theta = \frac{x}{R},\quad \overline{y} = \frac{y}{h},\quad \overline{z} = \frac{z}{L}\)

α o :

Thermal diffusivity of oil

β :

Temperature–viscosity coefficient

e :

Eccentricity, ε = e/c

η 0 :

Ambient viscosity of oil

η :

Viscosity of oil, \(\overline{\eta } = \eta /\eta_{0}\)

μ :

Coefficient of friction

\(\left( \frac{R}{c} \right)\mu\) :

Friction variable

λ :

Hydrodynamic roughness parameter

γ :

Surface pattern parameter

ω :

Angular speed of shaft

TBC:

Thermal boundary condition

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The authors declare that no funds, grants, or other support were received during the preparation of this manuscript.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Vishwakarma Institute of Technology, Pune, India

    Nagarjuna Baineni, Nitin Borse & Shriniwas Chippa

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  1. Nagarjuna Baineni
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  2. Nitin Borse
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  3. Shriniwas Chippa
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Correspondence to Shriniwas Chippa.

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Baineni, N., Borse, N. & Chippa, S. Analysis of Thermoelastohydrodynamic Lubrication of Journal Bearing including the Effect of Surface Roughness and Cavitation. J. Inst. Eng. India Ser. D (2022). https://doi.org/10.1007/s40033-022-00335-z

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