Abstract
To investigate the coupling effects of porous media and lubricating film on hybrid mechanical seal performance, a three-dimensional Elasto-hydrodynamic (EHD) model is proposed. This model integrates the fluid-solid interaction of porous matrix and T-groove on the seal ring. The elastic deformation of sealing surfaces (especially the porous region) and the seepage behavior of lubricant in porous matrix are computed based on the finite element method (FEM), while the flow characteristics of the sealing medium in the sealing gap and the porous matrix are analyzed. The results indicate that face deformation alters the fluid flow path of the outer diameter of the sealing gap, which is not conducive to the mass transfer of the sealing medium in the sealing chamber, the sealing gap and the porous matrix. The permeability and depth of the porous matrix significantly influence the mass transfer behavior between the porous matrix and lubricating film, resulting in larger film thickness and leakage rate. These findings provide key design insights for controlling leakage and enhancing sealing efficiency in porous mechanical seal.
Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.Data availability
No datasets were generated or analysed during the current study.
Abbreviations
- E:
-
Elasticity modulus (GPa)
- h :
-
Film thickness (μm)
- h o :
-
Seal clearance (μm)
- h g :
-
T-groove depth (μm)
- H :
-
Porous matrix thickness (mm)
- F o :
-
Opening force (N)
- F c :
-
Closing force (N)
- n :
-
Rotation speed (r/min)
- N b :
-
Groove number
- p a :
-
Ambient pressure (MPa)
- p c :
-
Cavitation pressure (MPa)
- p d :
-
Porous pressure (MPa)
- p f :
-
Film pressure (MPa)
- p s :
-
Sealing pressure (MPa)
- p sp :
-
Spring specific pressure
- q d :
-
Porous matrix outer diameter flow (mL/min)
- q o :
-
Seal clearance outer diameter flow (mL/min)
- q i :
-
Leakage rate (mL/min)
- r i :
-
Inner radius(mm)
- r o :
-
Outer radius(mm)
- r g :
-
T-groove root radius (mm)
- r p :
-
Inner radius of porous matrix (mm)
- r b :
-
Balanced radius (mm)
- x, y, z :
-
Cartesian coordinate
- u x, u y :
-
Velocity components (m/s)
- θ :
-
Density ratio
- θ g :
-
T-groove circumferential angles
- θ s :
-
Computational circumferential angles
- θ w :
-
Porous circumferential angles
- μ :
-
Dynamic viscosity (Pa⋅s)
- ρ :
-
Film density (kg/m3)
- ρ L :
-
Density at liquid state (kg/m3)
- Ω :
-
Design domain
- χ :
-
Width ratio of porous matrix
References
Chen JX, Lu JJ, Hou YC et al (2024) Study on the friction behavior and abnormal conditions of non-contact mechanical seal based on acoustic emission. Tribol Lett 72(3):71
Li SC, Liao HR, Zhao J et al (2023) The tribological performance of frictional pair of gas-liquid miscible backflow pumping seal in oil-air environment. Lubricants 11(5):220
Sun XH, Zheng XY, Xu PZ et al (2023) Research on friction state monitoring method of liquid film seal during start-up based on acoustic emission. Appl Acoust 210:109424
Meng XK, Qiu YJ, Ma Y et al (2022) An investigation into the thermo-elasto-hydrodynamic effect of Notched mechanical seals. Nuclear Eng Technol 54(6):2173–2187
Brunetiere N, Tournerie B, Frêne J (2003) TEHD lubrication of mechanical face seals in stable tracking mode: part 1-Numerical model and experiments. J Tribology-Transactions ASME 125(3):608–616
Chávez A, De Santiago O (2022) Predictions of the thermo elastic deformation of dry gas seal rings in the hydrodynamic lubrication regime. Proc Institution Mech Eng Part J: J Eng Tribology 236(7):pp1388–1408
Liu W, Liu Y, Wang YM et al (2011) Fluid-solid coupling of a hydrodynamic mechanical seal with a wavy face. J Tsinghua Univ (Science Technology) 51(5):577–581
Wang Z, Xu Y, Hu S, Ji H, Yang J (2020) Research on lubrication mechanism with fluid–solid coupling of Port plate pair in swash plate axial piston pump. Proc Institution Mech Eng Part J: J Eng Tribology 234(No4):515–527
Wang ZL, Wang QY, Hao MM et al (2023) The effect of thermal-elastic deformation on the sealing performance of supercritical CO2 dry gas seal. Int Lubrication Tribology 75(8):950–958
Liu Y, Liu W, Li YJ et al (2015) Mechanism of a wavy-tilt-dam mechanical seal under different working conditions. Tribol Int 9:43–54
Xia P, Jin X, Song W et al (2024) A novel transient computational fluid dynamics-fluid–structure interaction model for the pad adaptive motion and rotor dynamic coefficients of hybrid porous tilting pad bearings. Proc Inst Mechan Eng Part J: J Eng Tribol 238(5):615–637
Zhang GT, Tong BH, Yin YG (2020) Temperature distribution and heat generating/transfer mechanism of the circular bilayer porous bearing for thermo-hydrodynamic problem. Int J Heat Mass Transf 149:119134
Hu R, Hewson R, Morina A et al (2014) Influence of material properties and operating conditions on the predicted performance of poroelastic faced bearings. Proc Institution Mech Eng Part J-Journal Eng Tribology 228(2):pp131–139
Zhang GT, Ma LL, Jiang T et al (2023) Transient squeezing flow of the lubricant impregnated in the porous material. Lubr Sci 35(6):385–398
Raske N, Soltanahmadi S, de Boer G et al (2022) Finite element investigations of the fluid-solid behaviour in a bio-inspired poroelastic bearing. Proc Institution Mech Eng Part J: J Eng Tribology 236(8):pp1531–1544
Sobhi S, Eikhlifi M, Nabhani M (2023) Effects of both cavitation and non-Newtonian behavior on the performance of oscillatory anisotropic poroelastic squeeze film. Industrial Lubrication Tribology 75(2):145–156
Sobhi S, Nabhani M, Zarbane K et al (2022) Cavitation in oscillatory porous squeeze film: a numerical approach. Industrial Lubrication Tribology 74(6):636–644
Boubendir S, Larbi S, Bennacer R (2014) Elastic deformation effects on the thermohydrodynamic aspect of porous journal bearings. Defect Diffus Forum 353:275–279
Sakim A, Nabhani M, El Khlifi M (2018) Non-Newtonian effects on porous elastic journal bearings. Tribol Int 120:223–233
Sakim A, Nabhani M, El Khlifi M (2019) Viscous shear effect in non-Newtonian lubrication of finite porous elastic bearings. Industrial Lubrication Tribology 71(3):374–380
Wang W, Cheng XH, Zhang M et al (2020) Effect of the deformation of porous materials on the performance of aerostatic bearings by fluid-solid interaction method. Tribol Int 150:106391
Etsion I, Michael O (1994) Enhancing sealing and dynamic performance with partially porous mechanical face seals. Tribol Trans 37(4):701–710
Li XP, Meng XK, Hang LY et al (2024) Coupling model and performance analysis of partial porous T-grooved mechanical seal. Tribology (in Chinese) 1–20
Meurisse MH, Giudicelli B (1999) A 3D Conservative model for self-lubricated porous journal bearings in a hydrodynamic steady state. J Tribol 121(3):529–537
Zhang GT, Cai WJ, Wei XC et al (2023) Percolation and supply behavior of lubricant on porous Self-Lubricating material. Adv Eng Mater 25(12):1–11
Li XP, Meng XK, Zhao WJ et al (2024) Numerical investigation on a hybrid Porous-Spiral groove mechanical face seal. Tribol Int 198:109943
Luong TS, Potza W, Post JB et al (2004) Numerical and experimental analysis of aerostatic thrust bearings with porous restrictors. Tribol Int 37:25–832
Acknowledgements
The research work is supported by the National Natural Science Foundation of China (U2241246 and 52175193).
Author information
Authors and Affiliations
Contributions
Li xueping: Writing – original draft, Validation, Software, Investigation.Meng xiangkai: Writing – review & editing, Supervision, Methodology, Conceptualization, Funding acquisition.Liang yangyang: Project administration, Funding acquisition.Jiang jinbo: Formal analysis.Peng xudong: Conceptualization.
Corresponding author
Ethics declarations
Competing interests
The authors declare no competing interests.
Additional information
Publisher’s note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Li, X., Meng, X., Liang, Y. et al. Mass transfer of a hybrid porous T-groove mechanical face seal under Elasto-hydrodynamic model. Heat Mass Transfer 61, 50 (2025). https://doi.org/10.1007/s00231-025-03570-8
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s00231-025-03570-8