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

Shah, Rajesh C.; Kataria, Ramesh C

doi:10.1016/j.apm.2015.09.042

Cited by 10 publications

(24 citation statements)

References 20 publications

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“…In order to consider active contact area in the neighbourhood of r = 2 a /3, the magnetic field strength of radially VMF should be chosen (referring to [ 15 ]) as

where K is the quantity chosen to suit the dimensions of both sides of equation (2.12). Such a field attains maximum at r = 2 a /3 and vanishes at r = 0 and r = a .…”

Section: Discussionmentioning

confidence: 99%

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

Shah¹,

Shah²

2017

R. Soc. open sci.

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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 Darcy's 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.

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“…In order to consider active contact area in the neighbourhood of r = 2 a /3, the magnetic field strength of radially VMF should be chosen (referring to [ 15 ]) as

where K is the quantity chosen to suit the dimensions of both sides of equation (2.12). Such a field attains maximum at r = 2 a /3 and vanishes at r = 0 and r = a .…”

Section: Discussionmentioning

confidence: 99%

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

Shah¹,

Shah²

2017

R. Soc. open sci.

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“…The dimensionless film pressure p and load-carrying capacity W are numerically calculated and presented graphically for the following value of different parameters [14,23], which are remain fixed unless and until the calculations are made with respect to the variation of that particular parameter.…”

Section: Numerical Calculations and Discussion Of Resultsmentioning

confidence: 99%

“…Assuming that sufficient time has passed so that all field quantities have attained steady state, neglecting the self-field created by the magnetization of the fluid, neglecting all inertia terms, considering flow as steady, laminar & axisymmetric, and the derivatives of velocities across the film predominate. With these and other usual assumptions of lubrication, the equation governing the pressure distribution p in r -direction becomes (14) using Eqs. (8) and (13).…”

Section: Mathematical Formulation and Solutionmentioning

confidence: 99%

“…The bearing performances are found to be better using FF as lubricant. Shah and Kataria [14] studied squeeze-film between a sphere and a flat porous plate using FF as lubricant. The results show the better performance of the bearing characteristics.…”

Section: Introductionmentioning

confidence: 99%

“…Schematic diagram of squeeze-film bearing made by flat circular porous upper and flat circular impermeable lower discs Japanese Society of Tribologists (http://www.tribology.jp/) Ferrofluid Lubricated Porous Squeeze-Film Bearing with the Modified Condition of Pressure Continuity at the Film-Porous Interfacelower disc) and VMF with magnitude (strength) H of the form[14] …”

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confidence: 99%

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Ferrofluid Lubricated Porous Squeeze-Film Bearing with the Modified Condition of Pressure Continuity at the Film-Porous Interface

Shah

Kataria²,

Patel³

2019

Tribology Online

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Modified Reynolds-Darcy equation for ferrofluid lubricated squeeze-film bearing, made by flat circular porous upper and flat circular impermeable lower discs, is derived. The ferrofluid is controlled by oblique variable magnetic field (VMF) and VMF is important because of its advantage of generating maximum field at the required active contact zone. The porous matrix is considered because of its advantageous property of self-lubrication. Moreover, the validity of the Darcy's law is assumed in the porous matrix. Expression for dimensionless film pressure p in terms of Bessel function by considering the effect of existence of pressure difference at the film-porous interface is obtained. The expression for dimensionless load-carrying capacity W is also obtained. The effects of dimensionless radial parameter, inverse of the dimensionless film thickness parameter (h 0 / h) , magnetization parameter and squeeze velocity are studied on p, whereas the effects of the inverse of the dimensionless film thickness parameter and magnetization parameter and squeeze velocity are studied on W. Moreover, the effect of dimensionless pressure difference P at the film-porous interface is studied on W n (which is the term because of existence of the pressure difference at the film-porous interface). The results show that p increases for smaller values of radial parameter, larger values of magnetization parameter and when (h 0 / h) ≤ 12, whereas W increases for larger values of magnetization parameter and when (h 0 / h) ≤ 12. The squeeze velocity have no effects on the variation of p and W. Moreover, the results for W n show that it increases with the increase of P.

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Derivation of ferrofluid lubrication equation for slider bearings with variable magnetic field and rotations of the carrier liquid as well as magnetic particles

Shah

2017

Meccanica

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

Cited by 10 publications

References 20 publications

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

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

Ferrofluid Lubricated Porous Squeeze-Film Bearing with the Modified Condition of Pressure Continuity at the Film-Porous Interface

Derivation of ferrofluid lubrication equation for slider bearings with variable magnetic field and rotations of the carrier liquid as well as magnetic particles

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