Topic
Lubrication theory
About: Lubrication theory is a research topic. Over the lifetime, 1713 publications have been published within this topic receiving 50261 citations. The topic is also known as: Fluid bearing.
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TL;DR: The problem of computing the hydrodynamic forces and torques among $N$ solid spherical particles moving with given rotational and translational velocities in Stokes flow is addressed and the original fluid–particle model is considered without introducing new hypotheses or models.
Abstract: We address the problem of computing the hydrodynamic forces and torques among solid spherical particles moving with given rotational and translational velocities in Stokes flow. We consider the original fluid–particle model without introducing new hypotheses or models. Our method includes the singular lubrication interactions which may occur when some particles come close to one another. The main new feature is that short-range interactions are propagated to the whole flow, including accurately the many-body lubrication interactions. The method builds on a pre-existing fluid solver and is flexible with respect to the choice of this solver. The error is the error generated by the fluid solver when computing non-singular flows (i.e. with negligible short-range interactions). Therefore, only a small number of degrees of freedom are required and we obtain very accurate simulations within a reasonable computational cost. Our method is closely related to a method proposed by Sangani & Mo (Phys. Fluids, vol. 6, 1994, pp. 1653–1662) but, in contrast with the latter, it does not require parameter tuning. We compare our method with the Stokesian dynamics of Durlofsky et al. (J. Fluid Mech., vol. 180, 1987, pp. 21–49) and show the higher accuracy of the former (both by analysis and by numerical experiments).
23 citations
TL;DR: In this article, the authors studied the roll-coating process of an incompressible viscoelastic fluid, where the roll and the web have equal velocities.
Abstract: This paper studies the roll-coating process of an incompressible viscoelastic fluid, where the roll and the web have equal velocities. The lubrication approximation theory is used to simplify the e...
23 citations
TL;DR: A finite-difference technique for obtaining approximate numerical solutions to the Reynolds partial differential equation of gas film lubrication theory using a digital computer program is presented.
Abstract: This paper presents a finite-difference technique for obtaining approximate numerical solutions to the Reynolds partial differential equation of gas film lubrication theory. A digital computer program is described, and discretization errors and stability of the difference equations are discussed.
23 citations
TL;DR: In this article, a model based on an averaging of the momentum equation using an a priori parabolic flow pattern across the pipe, is also derived to account for the inertia effect, and an explicit solution demonstrates crucial role of peristalsis on the total fluid flux through the pipe.
23 citations
23 citations