Incompressible Non-Newtonian Fluid Flows

Modified Yield Power‐Law fluid flow in narrow annuli with inner rotating pipe

“…Over the years, several experimental studies have shown that the HB fluid model, also known as Yield Power‐Law (YPL) model, accurately correlates the rheological properties of several drilling fluids. Conversely, for the classical HB model, at very low shear rates, the apparent viscosity is effectively infinite at the instance immediately before the fluid yields and begins to flow . This phenomenon makes the model discontinuous and numerically difficult when modelling, hence, an approach is required to facilitate the solution process and produce almost the same result as the ideal model …”

3D Printing of Transparent and Conductive Heterogeneous Hydrogel–Elastomer Systems

“…We estimate the shear-rate during extrusion using the generalized form of the Rabinowitsch-Mooney equation (Equation 1) for a power-law fluid flowing through a cylindrical tube of radius r, [54] = (1) where Q is the volumetric flow rate and n is the exponent of the power-law describing the shear stress as a function of shear-rate, = , where K is the consistency index. By performing a power-law fit of the data in Figure 2b, we obtain a value of 0.148 for the shear-thinning exponent n in the high-strain rate region ( > 1 [24,33,35,49] .…”

A Phenomenological Gradient Approach to Generalized Constitutive Equations for Isotropic Fluids

“…index), respectively [11]. The power law index is an important parameter in rheological measurements, because it gives some idea of how fast the viscosity decreases with strain rate.…”

“…It is worth to mention, however, that the power law model, Equation (39), is perhaps the most widely used model in literature dealing with process engineering applications, and that there exist a variety of substances whose viscosity presents a dependence on γ −1⁄2 (power law index n = 1/2), such as chocolate, guava puree, papaya puree, and tomato paste, among others [11].…”