Blocking filtration laws for filtration of power-law non-newtonian fluids.

Power Law Model Adaptation to Fingering of Non-newtonian Fluids

The growth rate of fingers of a Newtonian fluid can be modeled by a power law dependence on time. In this experiment, we examine whether the model can be adapted to describe a fluid with changing viscosity. We provide two possible interpretations. For PVA and a PVA/glycerol solution, we show that by assuming a constant exponent, the changing behavior of the fluid can be captured by a coefficien...

Power-law exponents for the shear viscosity of non-Newtonian simple fluids.

Nonequilibrium molecular-dynamics simulations are performed to compute the shear viscosities of a simple Lennard-Jones fluid across a wide range of densities and temperatures that span the liquid phase. It is found that the standard mode-coupling value of beta = 0.05 for the exponent of the strain rate power-law dependence (eta = eta0-eta1gammabeta) is only applicable in a very narrow region of...

Heat Transfer of Liquid/ Solid Fluidized Beds for Newtonian and Non-Newtonian Fluids

The excellent performance of fluidized bed heat exchangers is due to the interaction between particles and heat transfer surface and to the mixing effects in the viscous sublayer. In this paper, the results of experimental investigations on heat transfer for a wide range of Newtonian and non-Newtonian (shear-thinning power law) fluids are presented. New design equations have been developed ...

Non-newtonian Fluids

Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition

and Applied Analysis 3 Next, we deal with the quenching rate. Before we establish upper bounds for the quenching rate, we introduce the following hypothesis: H1 ψ ′′ u g u ≥ 2 p − 1 ψ ′ u g ′ u , ψ ′ u p − 2 g ′2 u g u g ′′ u ≥ ψ ′′ u g u g ′ u . Theorem 1.2. Suppose that the conditions of Theorem 1.1 and the hypothesis H1 hold. Then there exists a positive constant C1 such that ∫u 1,t 0 ψ ′ s ...