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Effect of Slip Velocity on a Ferrofluid-Based Longitudinally Rough Porous Plane Slider Bearing

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Soft Computing for Problem Solving

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1048))

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Abstract

This paper studies the changes on a Ferrofluid (FF)-based longitudinally rough porous plane slider bearing (PSB) caused by the slip velocity (SV). The impact of magnetic fluid (MF) lubrication has been analyzed by using the Neuringer and Rosensweig model. The changes exerted by longitudinal roughness have been studied using the stochastic averaging model of Christensen and Tonder. The effects of SV are calculated by using the slip model of Beavers–Joseph. The pressure distribution (PD) expression has been calculated by solving the related nondimensional Reynolds’ type equation. These calculations have been used to calculate the load carrying capacity (LCC). According to the results, LCC increases due to MF lubricant. The surface roughness, on the other hand, has a negative impact on the performance. The same goes for the SV. However, it has been found that these adversities caused by surface roughness, SV, and porosity can be partially neutralized by the positive impact of magnetization, though it can be said that SV in general decreases the bearing performance.

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Abbreviations

\( h \) :

Film thickness (mm)

\( \overline{h} \) :

Mean film thickness (mm)

\( h_{s} \) :

Deviation from mean level

\( \varvec{H} \) :

Nondimensional film thickness

\( H_{0} \) :

Thickness of porous facing (mm)

\( \overline{H} \) :

Magnetic field (Gauss)

\( H^{2} \) :

Magnitude of magnetic field (N/A.m)

\( p \) :

Pressure found in the area covered by the film (N/mm2)

\( \overline{p} \) :

Anticipated degree of pressure

\( P \) :

Nondimensional pressure generated due to the film

\( Q \) :

Integrating constant

\( \overline{S} \) :

Slip parameter

\( u,v,w \) :

Fluid film velocity components in \( x,y,z \) directions, respectively

\( W \) :

Load capacity (N)

\( \overline{W} \) :

Nondimensional load capacity

\( \alpha \) :

Variance (mm)

\( \overline{\alpha } \) :

Nondimensional variance

\( \varepsilon \) :

Skewness (mm3)

\( \overline{\varepsilon } \) :

Skewness in dimensionless form

\( \mu_{0} \) :

Permeability of the free space (N/A2)

\( \overline{\mu } \) :

Magnetic susceptibility of particles

\( \mu^{ * } \) :

Dimensionless magnetization parameter

\( \sigma \) :

Standard deviation (mm)

\( \overline{\sigma } \) :

Dimensionless standard deviation

\( \phi \) :

Permeability of porous facing (m2)

\( \psi \) :

Porosity

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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.

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Authors and Affiliations

  1. Alpha College of Engineering and Technology, Gujarat Technological University, Kalol, 382721, Gujarat, India

    Mohmmadraiyan M. Munshi

  2. Vishwakarma Government Engineering College, Gujarat Technological University, Ahmedabad, 382424, Gujarat, India

    A. R. Patel

  3. Sardar Patel University, Vallabh Vidyanagar, 388120, Gujarat, India

    G. M. Deheri

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  1. Mohmmadraiyan M. Munshi
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Correspondence to Mohmmadraiyan M. Munshi .

Editor information

Editors and Affiliations

  1. Department of Mathematics, National Institute of Technology Silchar, Silchar, Assam, India

    Kedar Nath Das

  2. Department of Mathematics, South Asian University, New Delhi, Delhi, India

    Jagdish Chand Bansal

  3. Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    Kusum Deep

  4. Department of Mathematics, Faculty of Science, Liverpool Hope University, Liverpool, UK

    Atulya K. Nagar

  5. School of Electrical Engineering, VIT University, Vellore, Tamil Nadu, India

    Ponnambalam Pathipooranam

  6. School of Electrical Engineering, VIT University, Vellore, Tamil Nadu, India

    Rani Chinnappa Naidu

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Munshi, M.M., Patel, A.R., Deheri, G.M. (2020). Effect of Slip Velocity on a Ferrofluid-Based Longitudinally Rough Porous Plane Slider Bearing. In: Das, K., Bansal, J., Deep, K., Nagar, A., Pathipooranam, P., Naidu, R. (eds) Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 1048. Springer, Singapore. https://doi.org/10.1007/978-981-15-0035-0_3

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