The simulations conducted for non-contacting face seals show that performance-related parameters greatly affect the distribution of temperature in the fluid film causing thermal deformations of the sealing rings. The results indicate that the thermal deformations of the rings should be taken into account at the design stage, especially when non-contacting face seals are to be used in high-performance systems. The mathematical model of heat transfer used for the simulations consists of a system of coupled differential equations with partial derivatives, including heat equations and an energy equation with precisely defined boundary conditions. The calculated distributions of temperature were used to determine the values of thermal deformations of the sealing rings.Key words : Mechanical seal, Non-contacting face seal, Heat transfer, Thermal stresses, Thermal deformation
IntroductionMechanical seals are crucial elements of most turbomachines, ensuring their high reliability. They are common in pumps, mixers and other industrial equipment. Designed primarily to reduce power loss, they are also responsible for preventing leakage of the fluid to the environment. This can be achieved by maintaining a proper fluid-filled micro-clearance between the mating sealing rings. Seals of this type are called non-contacting face seals.In recent years, there have been many reports presenting experimental results and solutions to advanced mathematical models describing complex processes of heat transfer and thermoelastic deformations in non-contacting face seals. Most have dealt with heat transfer in the structural elements of mechanical seals, especially those directly responsible for the shape of the radial clearance, i.e. the mating rings separated with a fluid film.The first studies focused on developing one-dimensional mathematical models to determine the distribution of pressure and temperature in the clearance and heat transfer through the rings (Pascovici and Etsion, 1992). Mathematical models were further developed, as illustrated in Ref. (Luan and Khonsari, 2009c), and the researchers took into account also the roughness of the mating surfaces. Solutions to the simplified one-dimensional models were used to theoretically analyze heat transfer in non-contacting seals.More advanced thermohydrodynamic and thermoelastohydrodynamic models of non-contacting face seals were presented in Refs. (Tournerie, et al., 2001, Brunetière, et al., 2003a, 2003b. These complex multi-dimensional mathematical models were solved numerically. Then, the investigations dealt with the effect that the clearance geometry, and the properties of the ring materials have on the distribution of temperature in the fluid film and the seal rings.The work by Thomas (Thomas, et al., 2007) contains a numerical solution to a TEHD model of a gas-lubricated non-contacting face seal. The model analyzes the heat transfer between the fluid film and the surfaces limiting the clearance which undergo thermal strains, considerably affecting the geometry of the ...