We investigate the spreading of thin, circular liquid drops of powerlaw rheology. We derive the equation of motion using the thin film approximation, construct source-type similarity solutions and compute the spreading rate, aparent contact angles and height profiles. In contrast with the spreading of newtonian liquids, the contact line paradox does not arise for shear thinning fluids. In this ...

The formation of a thin film by (i) the slow penetration of a gas bubble into a liquid filled tube, (ii) the withdrawal of a planar substrate from a liquid filled gap, is investigated theoretically for the cases of both Newtonian and shear thinning liquids; the latter conforming to either a power law or Ellis model. Formulated as a boundary value problem underpinned by lubrication theory, the a...

A general mathematical model that predicts the flow fields in a mixed-flow anaerobic digester was developed. In this model, the liquid manure was assumed to be a non-Newtonian fluid, and the flow governed by the continuity, momentum, and k-epsilon standard turbulence equations, and non-Newtonian power law model. The commercial computational fluid dynamics (CFD) software, Fluent, was applied to ...

Structural transitions in melts as well as their dynamics are considered. It is supposed that liquid represents the solution of relatively stable solidlike locally favored structures in the surrounding of disordered normal-liquid structures. Within the framework of this approach the step changes of liquid Co viscosity are considered as liquid-liquid transitions. It is supposed that this sort of...

REFERENCES 4. S. M. Yih and C. H. Chen, Heat transfer in the thermal entrance region of a turbulent falling liquid film underV. N. Murthy and P. K. Sarma, Heat transfer to nongoing heating or evaporation, Proc. 7th Int. Heat TransNewtonian laminar falling liquid films with smooth wave fir Conference, Munich, Vol. 3, pp. 125-130 (1982). free gas-liquid interface, Int. J. Multiphase Flow 4, 4135....

Cavitation phenomena play important roles in many areas of science and engineering. The most interesting effect of the non-Newtonian properties of the liquid is the reduction of cavitation damage and noise. This article reviews experimental and theoretical efforts to understand such phenomena. The currently available information favors a description of the observed reduction of cavitation damag...

We find that a liquid jet can bounce off a bath of the same liquid if the bath is moving horizontally with respect to the jet. Previous observations of jets rebounding off a bath (e.g., the Kaye effect) have been reported only for non-Newtonian fluids, while we observe bouncing jets in a variety of Newtonian fluids, including mineral oil poured by hand. A thin layer of air separates the bouncin...

We study the Saffman-Taylor instability of a non-Newtonian fluid in a Hele-Shaw cell. Using a fluid model with shear-rate dependent viscosity, we derive a Darcy’s law whose viscosity depends upon the squared pressure gradient. This yields a natural, nonlinear boundary value problem for the pressure. A model proposed recently by Bonn et al. @Phys. Rev. Lett. 75, 2132 ~1995!# follows from this mo...

Microfluidic systems provide new vistas for generation of droplets and bubbles with a perfect control over their volume and structure. The ability to form organic droplets in microdevices finds uses (and promises of uses) in a range of applications that divide into two general classes: (i) preparatory technique that utilize the droplets to form particles and capsules and (ii) analytical and syn...