International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Lubrication of Rough Short Bearing on Shliomis Model by Ferrofluid Considering Viscosity Variation Effect

Mohmmadraiyan M. Munshi
Alpha College of Engineering and Technology, Gujarat Technological University, Kalol, 382721, Gujarat, India.

A. R. Patel
Vishwakarma Government Engineering College, Gujarat Technological University, Ahmedabad, 382424, Gujarat, India.

G. M. Deheri
Department of Mathematics, Sardar Patel University, Vallabh Vidhyanagar, 388120, Gujarat, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.4-078

Received on January 16, 2019
  ;
Accepted on May 01, 2019

Abstract

This study aims to explore the impact caused by change in viscosity and the roughness of a bearing surface on a ferrofluid lubrication of Shliomis model for short bearing. Based on this model and the Tipei (1962) model, a new resultant Reynolds equation has been found that shows thermal variation. The Christensen and Tonder models have been taken to derive the transverse roughness stochastically. An assumed mean has been taken for the probability density function with a non-zero value. This value is assigned to a random variable that measures the bearing’s surface roughness. This creates a more realistic situation that can have a lot of field applications. The model defines the problem mathematically while defining boundary conditions. It also uses the Simpson’s method to derive a conclusion. The results thus obtained are discussed in terms of pressure distribution and load bearing capacity. The graphical results obtained suggest that in the presence of magnetization, there is a significant enhance in the load bearing capacity. This positive effect can easily nullify the negative impact of the thermal effect. The short bearing approximation shown here is an example of the probable applications. Ferrofluids in the presence of magnetic fields significantly enhance the performance of a short bearing.

Keywords- Ferrofluid, Thermal variation, Load carrying capacity.

Citation

Munshi, M. M., Patel, A. R., & Deheri, G. M. (2019). Lubrication of Rough Short Bearing on Shliomis Model by Ferrofluid Considering Viscosity Variation Effect. International Journal of Mathematical, Engineering and Management Sciences, 4(4), 982-997. https://dx.doi.org/10.33889/IJMEMS.2019.4.4-078.

Conflict of Interest

The authors confirm that there is no conflict of interest to publish the paper in the journal.

Acknowledgements

The authors acknowledge with regards the constructive comments, fruitful suggestions and remarks of the reviewer/Editor, leading to an overhauling of the materials presented in the paper, necessitating the introduction of a few more references.

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