It should be noted that the literature survey in this paper is lacking [1]. The author had neglected to discuss previous work on gas/liquid seals [2], as well as the literature on numerical formulations (in particular the finite element method (FEM)) with upwinding mass conserving algorithms [3]. Ruan et al. [2] included the effects of rough surface contact, and viscous and frictional heating, while Miller and Green [3] included dynamics and transient phenomena. Combining both works [2] and [3], they offered more realistic analyses for face seals operation. Miller and Green [3] also offered a finite volume method that has significant advantages over the FEM: (a) the finite volume method is an explicit formulation (as opposed to an implicit formulation of the FEM), (b) the computational resources needed (memory,...

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