Incompressible Limit of the Oldroyd-B Model with Density-Dependent Viscosity

Abstract

This paper studies the existence and uniqueness of local strong solutions to an Oldroyd-B model with density-dependent viscosity in a bounded domain d Ω ⊂  , 2 d = or 3, via incompressible limit, in which the initial data is "well-prepared" and the velocity field enjoys the slip boundary conditions. The main idea is to derive the uniform energy estimates for nonlinear systems and corresponding incompressible limit.

Study of the Viscosity and Specific Gravity of the Ternary Used Frying Oil (UFO)-Bioethanol-Diesel System

“…For liquids certain mixing laws predict viscosity. The first of these mixing laws, called the Arrhenius one, was published by Svante Arrhenius in 1888 [11] [12] [13]. It postulates that the logarithm of the viscosity of a mixture of several liquids is a linear combination of the logarithms of the viscosities of the mixed species.…”