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Pragmatic Mathematical Perceptions for Judging Role of Diverse Variables during Ferrofluid Based Lubrication of Bearings used in Agricultural Sector


Author : Nitin D. Patel, Murari Lal Gaur and Manjusha. S. Kulshrestha

Pages : 1581-1595, DOI: https://doi.org/10.14741/ijcet/v.8.6.11
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Abstract

Among various moving constituents of any mechanical system, bearing remains a major element, which governs overall issues related to friction, wear, velocity and mechanical efficiency. Tribologically optimized contacting surfaces plays imperative role to extend the life of bearings as well as materials used in it. This article discusses background practical aspects and relevant mathematical principles for adopting alternative innovative lubricants like ferrofluids on double layered porous rough inclined slider bearing with due consideration of slip velocity and material roughness. The ferrofluid flow model of Jenkins is utilized for assessing its applied aspects to attain tribologically optimized design of bearings with foresighted real applications in agricultural industries. For developing Reynolds’s equation, popular models for roughness (Christensen &Tonder) and for slips (Beavers & Joseph) are factored into derivation. Few distinct dimensionless entities like slip parameter, material parameter, standard deviation, variance, skewness, magnetization parameter, porosity of inner layer, porosity of outer layer etc. were found most suitable choices to attempt overall evaluation on their influences on ultimate effectiveness of bearing system. Literature based appraisals on key parameters (mathematical & physical) were cultured by establishing quantified influences of slip velocities, roughness, lubrication etc. on performances of bearing systems with ferrofluid based lubrication. The load carrying capacity gets increased rapidly with increase in film thickness. Variation of load carrying capacity with respect to slip parameter along with skewness, standard deviation, inner & outer layer porosity showed linear effects with parallel shifts for different sets of values. These influences were remained non-linear for material based persuade. Synthetic predictive equations for computing work load factor as a function of magnetization & material parameter, showed satisfactory simulation performances.

Keywords: Double layered Porosity, Roughness, Pressure, Load, Slider Bearing, Agricultural Equipment

Article published in International Journal of Current Engineering and Technology, Vol.8, No.6 (Nov/Dec 2018)

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