scispace - formally typeset
Search or ask a question
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
More filters
Journal ArticleDOI
TL;DR: In this article, a lattice spring model is developed for coupled fluid flow and deformation problems, which has an underlying structure consisting of particles connected by springs for the solid and fluid bubbles, connected by fluid pipelines for fluid flow.
Abstract: A lattice spring model is developed for coupled fluid flow and deformation problems. The model has an underlying structure consisting of particles connected by springs for the solid and fluid bubbles, connected by fluid pipelines for fluid flow. Formulations of the model to describe the coupled fluid flow and deformation behavior of a solid are derived. A few examples of consolidation problems are presented and compared with analytical solutions with good agreement being obtained, which means that the lattice model developed in this study can correctly simulate the coupled fluid flow and deformation response of a solid.

14 citations

Journal ArticleDOI
TL;DR: In this paper, the stability of fluid flow past a membrane of infinitesimal thickness is analyzed in the limit of zero Reynolds number using linear and weakly nonlinear analyses.
Abstract: The stability of fluid flow past a membrane of infinitesimal thickness is analysed in the limit of zero Reynolds number using linear and weakly nonlinear analyses. The system consists of two Newtonian fluids of thickness R* and H R*, separated by an infinitesimally thick membrane, which is flat in the unperturbed state. The dynamics of the membrane is described by its normal displacement from the flat state, as well as a surface displacement field which provides the displacement of material points from their steady-state positions due to the tangential stress exerted by the fluid flow. The surface stress in the membrane (force per unit length) contains an elastic component proportional to the strain along the surface of the membrane, and a viscous component proportional to the strain rate. The linear analysis reveals that the fluctuations become unstable in the long-wave (alpha --> 0) limit when the non-dimensional strain rate in the fluid exceeds a critical value Lambda(t), and this critical value increases proportional to alpha(2) in this limit. Here, alpha is the dimensionless wavenumber of the perturbations scaled by the inverse of the fluid thickness R*(-1), and the dimensionless strain rate is given by Lambda(t) = ((gamma) over dot* R*eta*/Gamma*), where eta* is the fluid viscosity, Gamma* is the tension of the membrane and (gamma) over dot* is the strain rate in the fluid. The weakly nonlinear stability analysis shows that perturbations are supercritically stable in the alpha --> 0 limit.

14 citations

Journal ArticleDOI
TL;DR: In this paper, the small strain response of an inverse ferrofluid system, consisting of micron-sized inert particles dispersed in a magnetizable liquid consisting of single domain magnetite nanoparticles, was examined.
Abstract: We have examined the small strain response of an inverse ferrofluid system, consisting of micron-sized inert particles dispersed in a ferrofluid, which is a magnetisable liquid consisting of single domain magnetite nanoparticles. Under a magnetic field the inert particles will form elongated aggregates in the field direction, analogous to a magnetorheological fluid. It was found that the fluid appeared to have a Bingham fluid-like yield stress when analysed using the flow curve. However careful study of the behavior at very low shear rates revealed an ever decreasing shear stress. In addition, the behavior of conventional magnetorheological fluids at large strains under steady shear flow and constant magnetic field was also studied, and the results compared to particle-level computer simulations.

14 citations

01 Jan 2010
TL;DR: In this paper, the authors investigated viscous, incompressible fluid flow in a channel with slowly varying cross-section with absorbing walls and the effect of fluid absorption through permeable wall is accounted for by prescribing flux as a function of axial distance.
Abstract: In this paper, we investigate viscous, incompressible fluid flow in a channel with slowly varying cross-section with absorbing walls. The motion of fluid is assumed to be steady and laminar. The effect of fluid absorption through permeable wall is accounted for by prescribing flux as a function of axial distance. The nonlinear equations of motion are linearized by perturbation method by assuming δ (ratio of inlet half-width to wavelength) as a small parameter and are solved by numerical methods. The effects of slope parameter (k) on the velocity profiles, mean pressure drop and wall shear stress are presented graphically. It has been observed that the mean pressure drop and the magnitude of wall shear stress decreases in a diverging channel.

14 citations

Journal ArticleDOI
TL;DR: In this article, the effects of the magnetic field parameter Ha, the non-Newtonian fluid characteristics (the flow index n), and the particle-phase viscosity β on the transient behavior of the velocity, volumetric flow rates, and skin friction coefficients of both fluid and particle phases are studied.
Abstract: In this paper, the unsteady flow of a dusty viscous incompressible electrically conducting non-Newtonian power-law fluid through a circular pipe is investigated A constant pressure gradient in the axial direction and a uniform magnetic field directed perpendicular to the flow direction are applied The particle phase is assumed to behave as a viscous fluid A numerical solution is obtained for the governing nonlinear momentum equations using finite differences The effects of the magnetic-field parameter Ha, the non-Newtonian fluid characteristics (the flow index n), and the particle-phase viscosity β on the transient behavior of the velocity, volumetric flow rates, and skin friction coefficients of both fluid and particle phases are studied It is found that all the flow parameters for both phases decrease as the magnetic field increases or the flow index decreases On the other hand, increasing the particle-phase viscosity increases the skin friction of the particle phase, but decreases the other flow

14 citations


Network Information
Related Topics (5)
Reynolds number
68.4K papers, 1.6M citations
86% related
Laminar flow
56K papers, 1.2M citations
82% related
Heat transfer
181.7K papers, 2.9M citations
82% related
Boundary layer
64.9K papers, 1.4M citations
81% related
Thermal conductivity
72.4K papers, 1.4M citations
79% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202341
202295
202117
202022
201920
201836