Modeling Non-Newtonian fluid flow through pipes with slip boundary conditions

Abstract

In recent years, the development of nanotechnologies has led to the emergence of multifunctional materials, with different properties of the surface layer from the base layer, namely with hydrophobic properties. Multidisciplinary research in physics and chemistry has also resulted in the emergence of fluids with special properties, such as aqueous solutions in combination with polymers or silicone oils. For such cases of couples of solid-liquid materials, the researchers found that in the area of contact of the liquid with the immobile wall, the condition of adhesion of the liquid to the wall is no longer observed. Consequently, the general theory of lubrication, based on Reynolds’ equation, can no longer correctly model the lubrication processes that occur at the interface between material and fluid. The present paper investigates the flow of the non-Newtonian fluids in a circular pipe with slip boundary conditions, being obtained as main result the velocity profile and the flow rate characteristic for a power-law fluid. At the end it was made a comparison of the obtained model with the experimental results regarding the flow of fluids in channels, for different values of the slip coefficient.