Mathematical models and numerical simulations for thin-film flows of a fluid have important applications in industrial and natural processes [12], [10], [13], [14], [3], [4], [6]. Herein, we consider the slow motion of a thin liquid layer of an incompressible, Newtonian fluid over an arbitrary solid, stationary curved substrate. In a three dimensional and very slow lubrication flow, a model for...

We consider the adiabatic shearing of an incompressible non-Newtonian liquid with temperature dependent viscosity, subjected to steady shearing of the boundary. Identical equations govern the plastic shearing of a solid exhibiting thermal softening and strain rate sensitivity with constitutive relation obeying a certain power law. We establish that every classical solution approaches a uniform ...

It is demonstrated that, for the slow advance of a viscous liquid onto a previously dry substrate, the well-known moving contact line paradox is alleviated for liquids exhibiting power-law shear-thinning behavior. In contrast to previous models that allow contact-line motion, it is no longer necessary to abandon the no-slip condition at the substrate in the vicinity of’the contact point. While ...

A leaky dielectric Newtonian drop suspended in another leaky dielectric Newtonian liquid medium deforms as it settles under the influence of a uniform alternating electric field. As a result of this deformation, the terminal velocity is affected. In this study we present a detailed experimental investigation of the effect of horizontally directed uniform alternating electric field on the settli...

This paper considers the flow and heat transfer in a non-Newtonian power-law liquid film over a horizontal unsteady stretching sheet. The fluid viscosity and thermal conductivity are assumed to vary with temperature, whereas the Prandtl number is assumed to be constant. The transformed time dependent conservation laws are solved numerically. The velocity, temperature and thickness of the film, ...

Colloidal probe atomic force microscopy is used to study the slip behavior of 18 Newtonian liquids from two homologous series, the n-alkanes and n-alcohols, at molecularly smooth hydrophobic n-hexadecyltrichlorosilane coated surfaces. We find that the slip behavior is governed by the bulk viscosity eta of the liquid, specifically, the slip length b approximately etax with x approximately 0.33. ...

Abstract The flow of a fluid through textiles has been studied for a number of years. Understanding the flow phenomena along with the corresponding environmental changes (pressure drop, concentration gradient, etc.) becomes important in many fields, such as liquid transport through geomembranes, effluent movement through filtration devices, and chemical movement through protective apparel. This...