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Thermo-elasto-hydrodynamic (TEHD) study of journal bearing lubricated with biodegradable nanolubricant

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Abstract

The current study addresses the influence of thermo-elasto effects on performance parameters of the journal bearing lubricated with biodegradable nanolubricants. It is assumed that the non-Newtonian nature of the biodegradable nanolubricants follows the power law model. The analysis is done by simultaneous numerical solutions of the modified Reynolds equation, adiabatic energy equation, and the deformation equation. The finite difference method is adopted to solve the Reynolds and energy equations with suitable iterative scheme. Simulated results reveal that the deviation in performance parameters due to thermo-elasto effects is observed differently for different power law indexes. Moreover, biodegradable nanolubricants enhance the load carrying capacity and friction force, while the attitude angle and side leakage remain unchanged in comparison with the base biolubricant.

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Abbreviations

\(U\) :

Tangential velocity of the journal, m/s

\(\omega\) :

Angular velocity of the journal (\(\omega\) = U/R), rad/s

\(N\) :

Rotational speed, rpm

\(h\) :

Film thickness, m

\(e\) :

Eccentricity, m

\(O_{{{\rm b}}}\) :

Bearing center

\(O_{{{\rm J}}}\) :

Journal center

\(h_{\min }\) :

Minimum fluid film thickness, m

\(\mu\) :

Apparent viscosity, Pa s

\(\mu_{0}\) :

Reference viscosity of the lubricant, Pa s

\(\mu_{{{{\rm nf}}}}\) :

Viscosity of nanolubricant, Pa s

x, y, z :

Bearing coordinates, x measures along circumferential direction, y measures along the radial direction, z measures along the axial direction, m

\(\theta\) :

Angular coordinate, rad

R :

Journal radius, m

D :

Journal diameter, m

L :

Bearing length, m

\(c\) :

Radial clearance, m

\(\theta_{{{\rm c}}}\) :

Cavitation angle, rad

\(\varphi\) :

Nanoparticles volume fraction, %

\(\varphi_{{{\rm m}}}\) :

Maximum particle packing fraction, %

[η]:

Intrinsic viscosity

\(n\) :

Power law index

\(\varepsilon\) :

Eccentricity ratio

\(C_{0}\) :

Elastic coefficient

\(t\) :

Bearing liner thickness, m

\(E\) :

Modulus of elasticity of the bearing

\(\nu\) :

Poisson ratio

\(\rho\) :

Density of oil, kg/m3

\(\rho_{{{\rm p}}}\) :

Density of nanoparticles, kg/m3

\(\rho_{0} { }\) :

Density of base oil, kg/m3

\(\rho_{{{{\rm nf}}}}\) :

Density of nanolubricant, kg/m3

\(C_{{{{\rm pp}}}} ,C_{{{{\rm p}}0}} , C_{{{{\rm pnf}}}}\) :

Specific heat of nanoparticles, base oil, and nanolubricant (J/kg°C)

\(\beta\) :

Thermoviscosity coefficient, °C−1

\(u, v\) :

Oil velocity components in x and y directions (m/s)

\(q_{x} ,q_{y}\) :

Discharge in x and y directions, m3/s

\(\phi\) :

Attitude angle, degree

\(p\) :

Lubricant film pressure, N/m2

\(\lambda\) :

Aspect ratio

\(W\) :

Load carrying capacity, N

\(Q_{{{\rm S}}}\) :

Total lubricant side leakage, m3/s

\(W_{\theta }\) :

Tangential component of load carrying capacity, N

\(W_{{{\rm r}}}\) :

Radial component of load carrying capacity, N

\(C_{{{\rm f}}}\) :

Coefficient of friction

\(f\) :

Friction force, N

\(\dot{\gamma }\) :

Shear strain rate, s−1

\(D_{e}\) :

Dissipation number

THD:

Thermohydrodynamic

TEHD:

Thermo-elasto-hydrodynamic

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Authors and Affiliations

  1. Department of Mechanical Engineering, Faculty of Engineering and Technology, Guru Jambheshwar University of Science and Technology, Hisar, Haryana, 125001, India

    Anil Dhanola & H. C. Garg

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  1. Anil Dhanola
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  2. H. C. Garg
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Correspondence to H. C. Garg.

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Dhanola, A., Garg, H.C. Thermo-elasto-hydrodynamic (TEHD) study of journal bearing lubricated with biodegradable nanolubricant. J Braz. Soc. Mech. Sci. Eng. 43, 69 (2021). https://doi.org/10.1007/s40430-021-02801-3

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