Topic
Herschel–Bulkley fluid
About: Herschel–Bulkley fluid is a research topic. Over the lifetime, 1946 publications have been published within this topic receiving 49318 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this article, a derivation of the interfacial equation via a multiple scales, perturbation technique is presented, which results in a scalar, nonlinear partial differential equation describing large amplitude dynamics of the cross-sectional area of the intrusive fluid conduit, in agreement with previous derivations.
Abstract: The evolution of the interface separating a conduit of light, viscous fluid rising buoyantly through a heavy, more viscous, exterior fluid at small Reynolds numbers is governed by the interplay between nonlinearity and dispersion. Previous authors have proposed an approximate model equation based on physical arguments, but a precise theoretical treatment for this two-fluid system with a free boundary is lacking. Here, a derivation of the interfacial equation via a multiple scales, perturbation technique is presented. Perturbations about a state of vertically uniform, laminar conduit flow are considered in the context of the Navier-Stokes equations with appropriate boundary conditions. The ratio of interior to exterior viscosities is the small parameter used in the asymptotic analysis, which leads systematically to a maximal balance between buoyancy driven, nonlinear self-steepening and viscous, interfacial stress induced, nonlinear dispersion. This results in a scalar, nonlinear partial differential equation describing large amplitude dynamics of the cross-sectional area of the intrusive fluid conduit, in agreement with previous derivations. The leading order behavior of the two-fluid system is completely characterized in terms of the interfacial dynamics. The regime of model validity is characterized and shown to agree with previous experimental studies. Viscous fluid conduits provide a robust setting for the study of nonlinear, dispersive wave phenomena.
17 citations
TL;DR: In this article, the authors generalized Kurzweg's work for the case of a viscoelastic Maxwell fluid and showed that the absolute maximum of the enhanced thermal diffusivity for the viscoelinear fluid and the axial heat transfer in the tube may be much higher than those for the Newtonian fluid.
17 citations
17 citations
TL;DR: In this paper, the effects of the magnetic field, eccentricity ratio and power-law exponent on the tangential velocity, torque and pressure gradient were analyzed analytically and numerically.
17 citations
TL;DR: In this paper, the rheological properties for a drilling fluid are predicted for precisely hydraulic calculating, cuttings, and cut-ings caring in deep oil and gas drilling operations.
Abstract: In the deep oil and gas drilling operations, estimation and prediction of the rheological properties for a drilling fluid are of crucial importance for precisely hydraulic calculating, cuttings car...
17 citations