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Featured researches published by Rajesh C. Shah.


Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology | 2015

Impact of various and arbitrary porous structure in the study of squeeze step bearing lubricated with magnetic fluid considering variable magnetic field

Rajesh C. Shah; Nayan I Patel

The aim of this paper is to study the impact of various and arbitrary porous structure on the performance of the step bearing lubricated with magnetic fluid. The paper also studied about the effect of squeeze velocity which appears when two lubricated surfaces approaches to each other with a normal velocity. The porous layer (region or wall or matrix) is attached to the lower flat impermeable plate (surface or disc). Two porous structure models given by Kozeny-Carman (a globular sphere model) and Irmay (a capillary fissures model) are considered for the study. The upper surface is a step surface approaching to lower one. The magnetic field considered here is variable and oblique to the lower plate. Expressions for pressure under the step surfaces and load-carrying capacity are obtained. The dimensionless load-carrying capacity W ¯ is calculated for various values of permeability, porous width, length of first step of the bearing, width of the film region, and strength of magnetic field. From the results it is observed that W ¯ increases with the increase of the length of the first step and with the increase of K (which leads increase of H) for both the models. It is also observed that permeability and width of porous matrix have almost no effect on W ¯ . In the case of width of the film region, it is observed that W ¯ attains same behavior whether film thickness is small or large. Moreover, calculation shows that globular sphere model have better performance for W ¯ than capillary fissures model. Thus, it is suggested to have a design of porous squeeze step bearing with globular spheres in the porous region considering variable magnetic field strength H of order 104.


Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology | 2017

Analysis and comparative study of ferrofluid lubricated circular porous squeeze film-bearings

Rajesh C. Shah; Dilip B. Patel

Based on ferrohydrodynamic theory by R. E. Rosensweig and continuity equation for film as well as upper and lower porous regions, a general modified Reynolds equation for ferrofluid (FF) lubricated circular discs porous squeeze film-bearings is derived by assuming the validity of the Darcy’s law in the porous regions. The effects of porosity, slip velocity, anisotropic permeability and rotation at both the discs are also included for the study. Here, the FF is controlled by oblique and radially variable magnetic field. The effect of porosity is included because of its advantageous property of self-lubrication, and oblique variable magnetic field is important because of its advantage of generating maximum field at the required active contact zone of the bearing design systems. Using Reynolds equation, different circular porous squeeze film-bearing design systems (e.g. exponential, secant and parallel (flat)) are studied and compared for load-carrying capacity. During the course of investigation, it is observed that uniform magnetic field does not affect on the performances of the bearing systems.


Royal Society Open Science | 2017

Ferrofluid lubrication of circular squeeze film bearings controlled by variable magnetic field with rotations of the discs, porosity and slip velocity

Rajesh C. Shah; Rajiv B. Shah

Based on the Shliomis ferrofluid flow model (SFFM) and continuity equation for the film as well as porous region, modified Reynolds equation for lubrication of circular squeeze film bearings is derived by considering the effects of oblique radially variable magnetic field (VMF), slip velocity at the film–porous interface and rotations of both the discs. The squeeze film bearings are made up of circular porous upper disc of different shapes (exponential, secant, mirror image of secant and parallel) and circular impermeable flat lower disc. The validity of Darcys Law is assumed in the porous region. The SFFM is important because it includes the effects of rotations of the carrier liquid as well as magnetic particles. The VMF is used because of its advantage of generating maximum field at the required active contact area of the bearing design system. Also, the effect of porosity is included because of its advantageous property of self-lubrication. Using Reynolds equation, general form of pressure equation is derived and expression for dimensionless load-carrying capacity is obtained. Using this expression, results for different bearing design systems (due to different shapes of the upper disc) are computed and compared for variation of different parameters.


Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology | 2016

Some porous squeeze film-bearings using ferrofluid lubricant: A review with contributions

Rajesh C. Shah; Nayan I Patel; Ramesh C. Kataria

Based on ferrofluid flow model given by R.E. Rosensweig, a general equation for different slider squeeze film-bearing design systems, formed by solid upper surface and lower porous plate, is theoretically derived considering the effects of porosity, permeability, squeeze velocity, tangential velocity and oblique variable magnetic field. While deriving the general equation, continuity equation and Darcy’s law are also considered. Expressions for pressure and load-carrying capacity for different squeeze film-bearing design systems are obtained. The results for dimensionless load-carrying capacity are computed and compared with previous results in some cases. The results indicate the better performance of different bearing systems when ferrofluid is used as lubricant. Further, some important conclusions are also made. Two permeability models – globular sphere and capillary fissures are discussed. The variable magnetic field is considered because uniform magnetic field does not enhance bearing performances.


International Journal of Fluid Mechanics Research | 2013

Mathematical Analysis of Newly Designed Ferrofluid Lubricated Double Porous Layered Axially Undefined Journal Bearing with Anisotropic Permeability, Slip Velocity and Squeeze Velocity

Rajesh C. Shah; Dilip B. Patel


Journal of Applied Mathematics | 2012

Squeeze Film Based on Ferrofluid in Curved Porous Circular Plates with Various Porous Structure

Rajesh C. Shah; Dilip B. Patel


Applied Mathematical Modelling | 2016

On the squeeze film characteristics between a sphere and a flat porous plate using ferrofluid

Rajesh C. Shah; Ramesh C. Kataria


Meccanica | 2016

On the ferrofluid lubricated squeeze film characteristics between a rotating sphere and a radially rough plate

Rajesh C. Shah; Darshana A. Patel


American Journal of Computational and Applied Mathematics | 2012

Mathematical Modelling of Slider Bearing of Various Shapes with Combined Effects of Porosity at Both the Ends, Anisotropic Permeability, Slip Velocity, and Squeeze Velocity

Rajesh C. Shah; Nayan I Patel; Silver Oak


Applied Mathematics-a Journal of Chinese Universities Series B | 2012

Mathematical Modeling of newly Designed Ferrofluid Based Slider Bearing Including Effects of Porosity, Anisotropic Permeability, Slip Velocity at both the Ends, and Squeeze Velocity

Rajesh C. Shah; Dilip B. Patel

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Rajiv B. Shah

Maharaja Sayajirao University of Baroda

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