Ahatract-An analysis is made of the boundary layer flow of Reiner-Philippoff fluids. This work is an extension of a previous analysis by Hansen and Na [A. G. Hansen and T. Y. Na, Similarity solutions of laminar, incompressible boundary layer equations of non-Newtonian fluids. ASME 67-WA/FE-2 presented at the ASME Winter Annual Meeting, November (1967)], where the existence of similar solutions ...

The multiple reference frames (MRF) method is the most suitable method tosimulate impeller rotation in mixing systems. Precise determination of stationaryand moving zones in MRF method leads to accurate results in mixing performance.In this research, the entire volume of mixing system was divided into two zones.The kinetic energy values were used to distinguish the zones with differentvelocitie...

The velocity, shear-rate, variable viscosity, and variable power-law index profiles are calculated for non-Newtonian fluids using the finite difference method. The calculations are carried out for an actual viscosity function obtained by a cilrve fit through measured data and for the corresponding power law model, the simplest and most often used form for non­ Newtonian viscosity function appro...

– The onset of surface waves in a vibrated layer of a viscoelastic fluid is investigated theoretically. For vibration frequencies close to the inverse relaxation time of the non-Newtonian fluid, surface waves respond harmonically instead of being subharmonic as is usually the case in Newtonian fluids. This prediction has been made on the basis of the Maxwell model for viscoelastic fluids, but t...

Consider the flow of a thin layer of non-Newtonian fluid over a solid surface. I model the case where the viscosity depends nonlinearly on the shear-rate; power law fluids are an important example, but the analysis here is for general nonlinear dependence. The modelling allows for large changes in film thickness provided the changes occur over a relatively large enough lateral length scale. Mod...

In this work, a methodology to perform rheological studies on smoothed dissipative particle dynamics under arbitrary flow configurations is introduced. To evaluate the accuracy and flexibility of proposed methodology, viscometric for Newtonian fluids pure shear, extension, flows in bulk or near walls are The applicability obtain viscoelastic properties non-Newtonian fluids, such as polymer solu...

We investigate mixing in a viscoelastic and shear-thinning fluid-a very common combination in polymers and suspensions. We find that competition between elastic and viscous forces generates self-similar mixing, lobe transport, and other characteristics of chaos. The mechanism by which chaos is produced is evaluated both in experiments and in a simple model. We find that chaotic flow is generate...

Stokes flow produced by an oscillatory motion of a wall is analyzed in the presence of a nonNewtonian fluid. A total of eight non-Newtonian models are considered. A mass balance approach is introduced to solve the governing equations. The velocity and temperature profiles for these models are obtained and compared to those of Newtonian fluids. For the power law model, correlations for the veloc...