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: In this paper, a multi-scale method was proposed to investigate the interface pressure and friction in a 3D model of cold strip rolling, where an equivalent interfacial layer was introduced to integrate the effect of lubricant with surface asperity deformation.
31 citations
TL;DR: In this paper, a coupled pair of nonlinear partial differential equations for the film height and surfactant concentration were derived using lubrication theory, showing that several features of the much studied uncontaminated film flow problem are modified due to the inclusion of insoluble surfactants.
31 citations
TL;DR: In this article, a systematic theoretical study of thermoelectric effect and temperature-gradient-driven electrokinetic flow of electrolyte solutions in charged nanocapillaries is presented.
31 citations
TL;DR: In this article, two versions of the lubrication theory are presented for superposed layers of non-Newtonian fluid with power-law rheology, where the fluids are assumed to have comparable effective viscosities.
Abstract: Superposed layers of fluid flowing down an inclined plane are prone to interfacial instability even in the limit of zero Reynolds number. This situation can be explored by making use of a lubrication-style approximation of the governing fluid equations. Two versions of the lubrication theory are presented for superposed layers of non-Newtonian fluid with power-law rheology. First, the fluids are assumed to have comparable effective viscosities. The approximation then furnishes a simplified model for which the linear stability problem can be solved analytically and concisely. Weakly nonlinear analysis and numerical computations indicate that instabilities saturate at low amplitude beyond onset and form steady wavetrains. Further from onset, secondary instabilities arise that destroy trains of widely spaced wave trains. Patterns of closely spaced waves, on the other hand, coarsen due to wave merger events. The two mechanisms select steady wavetrains with a characteristic spatial scale. The second lubrication theory assumes that the upper layer is far more viscous than the lower layer. As a result, the upper fluid flows almost rigidly, and extensional stresses can become promoted into the leading-order balance of forces. Interfacial instability still arises in Newtonian fluid layers, and the nonlinear dynamics is qualitatively unchanged. Significant complications arise when the upper fluid is non-Newtonian due to the behavior of the viscosity at zero strain rate.
31 citations
TL;DR: Using Debye–Huckel, lubrication theory, and long wavelength approximations, analytical solutions of dimensionless boundary value problems are obtained for microvascular blood flow with heat and mass transfer in complex wavy microchannel modulated by electroosmosis.
Abstract: The present paper addresses microvascular blood flow with heat and mass transfer in complex wavy microchannel modulated by electroosmosis. Investigation is carried out with joule heating and chemical reaction effects. Further, viscous dissipation is also considered. Using Debye-Huckel, lubrication theory, and long wavelength approximations, analytical solutions of dimensionless boundary value problems are obtained. The impacts of different parameters are examined for temperature and concentration profile. Furthermore, nature of pressure rise is also investigated to analyze the pumping characteristics. Important results of flow phenomena are explored by means of graphs.
31 citations