The Rotordynamic Coefficients of Mechanical Seals Having Two Flexibly Mounted Rotors

Wileman, J.; Green, I.

doi:10.1115/1.2920695

Cited by 15 publications

(33 citation statements)

References 7 publications

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“…t//" £ is defined as the angle between this system and the inertial axis £ as illustrated in Fig. 4 where, for completeness, the vectors and angles for the eccentric analysis have been appended to those described by Wileman and Green (1991) for the concentric analysis.…”

Section: Kinematic Descriptionmentioning

confidence: 99%

“…The equation is expressed in terms of velocity components in the cylindrical system. As in the concentric analysis (Wileman and Green, 1991), the Reynolds equation is simplified using the narrow seal approximation, neglecting the effects of curvature and of the circumferential pressure gradient. The fluid film is assumed to have a hydrostatic pressure sufficient to prevent cavitation.…”

Section: Reynolds Equation Solutionmentioning

confidence: 99%

“…For the Reynolds equation solution we can assume, without loss of generality, that the relative motion of the centers is applied completely to element 2. In this case, the total velocity of a point on element 1 is v, = ru>ie a (7) and the velocity of a point on element 2 is v 2 = [e(iA" e ~ w 2 ) sin 9 C + e cos 9 c ]e er + [rw 2 + e(i/f oe -ui 2 ) cos 9 e -e sin 0Je e9 8The velocity terms containing rwi and roj 2 can be omitted in the eccentric analysis because they are accounted for in the concentric analysis (Wileman and Green, 1991). When (7) and (8) are substituted into the Reynolds equation, several terms vanish completely, and others add out.…”

Section: Reynolds Equation Solutionmentioning

confidence: 99%

“…Extensive reviews of the literature in this field have been provided by Allaire (1984), Tournerie and Frene (1985), and Etsion (1982Etsion ( , 1985Etsion ( , and 1991. More recent work in the field has been done by Green (1987Green ( , 1989Green ( , and 1990) and by Wileman and Green (1991).…”

Section: Introductionmentioning

confidence: 99%

“…Green (1987Green ( , 1989Green ( , and 1990) extended this work to the flexibly mounted rotor (FMR) configuration, finding the FMR configuration superior to the FMS in every aspect of dynamic performance. Wileman and Green (1991) obtained rotor dynamic coefficients for a seal configuration (denoted FMRR) in which both elements are flexibly mounted to rotating shafts ( Fig. 1), but they maintained the assumption of concentricity in the system.…”

Section: Introductionmentioning

confidence: 99%

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The Rotor Dynamic Coefficients of Eccentric Mechanical Face Seals

Wileman

Green

1996

Journal of Tribology

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The Reynolds equation is extended to include the effects of radial deflection in a seal with two flexibly mounted rotors. The resulting pressures are used to obtain the forces and moments introduced in the axial and angular modes by the inclusion of eccentricity in the analysis. The rotor dynamic coefficients relating the forces and moments in these modes to the axial and angular deflection are shown to be the same as those presented in the literature for the concentric case. Additional coefficients are obtained to express the dependence of these forces and moments upon the radial deflections and velocities. The axial force is shown to be decoupled from both the angular and radial modes, but the angular and radial modes are coupled to one another by the dependence of the tilting moments upon the radial deflections. The shear stresses acting upon the element faces are derived and used to obtain the radial forces acting upon the rotors. These forces are used to obtain rotor dynamic coefficients for the two radial degrees of freedom of each rotor. The additional rotor dynamic coefficients can be used to obtain the additional equations of motion necessary to include the radial degrees of freedom in the dynamic analysis. These coefficients introduce additional coupling between the angular and radial degrees of freedom, but the axial degrees of freedom remain decoupled.

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Section: Kinematic Descriptionmentioning

confidence: 99%

Section: Reynolds Equation Solutionmentioning

confidence: 99%

Section: Reynolds Equation Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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The Rotor Dynamic Coefficients of Eccentric Mechanical Face Seals

Wileman

Green

1996

Journal of Tribology

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Tribology research at Georgia Tech

Salant

Bair

Cowan

et al. 1992

Tribology International

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Investigation on the dynamic characteristics for high-speed mechanical seal considering turbulent cavitating flow and inertia effect

Wang,

Hao,

2024

ILT

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Purpose This study aims to investigate the dynamic characteristics of a high-speed mechanical seal by considering the flow regime, cavitation phenomenon and inertia effect. Design/methodology/approach Based on the high-speed conditions of a mechanical seal with a low-viscosity fluid, a multi-factor coupled lubrication model of a mechanical seal is established. The perturbation Reynolds equation set is derived using the perturbation method, and the effects of turbulent flow and inertia on sealing performance are discussed. Findings The results indicate that turbulence significantly influences the dynamic characteristics of low-viscosity fluids under high-speed conditions. Originality/value The results of the dynamic characteristics presented in this study are expected to provide guidance for the design of mechanical seals.

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The Rotordynamic Coefficients of Mechanical Seals Having Two Flexibly Mounted Rotors

Cited by 15 publications

References 7 publications

The Rotor Dynamic Coefficients of Eccentric Mechanical Face Seals

The Rotor Dynamic Coefficients of Eccentric Mechanical Face Seals

Tribology research at Georgia Tech

Investigation on the dynamic characteristics for high-speed mechanical seal considering turbulent cavitating flow and inertia effect

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