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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.


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Journal ArticleDOI
TL;DR: In this article, a modified Reynolds equation with a slip boundary condition is derived for non-wetting fluid flow through rough-walled fractures, and the experimental and numerical studies clearly show that as the aperture of the fracture became less than a few hundred microns, the modified Reynolds equations with slip boundary conditions provided a better model for flow of a nonwetted fluid through roughwalled fracture.

15 citations

Book ChapterDOI
01 Jan 1982
TL;DR: The chapter focuses on the severe problems associated with attempts to describe a non-Newtonian fluid by means of a one-point measurement.
Abstract: This chapter focuses on viscosity and consistency. Unfortunately, the distinction between solid and fluid is not sharp and clear. The tendency of a fluid to flow easily or with difficulty has been a subject of great practical and intellectual importance to mankind for centuries. Laminar flow is streamline flow in a fluid. Turbulent flow is fluid flow in which the velocity varies erratically in magnitude and direction. The chapter highlights the difference between laminar flow and turbulent flow and also presents the factors affecting viscosity. There is usually an inverse relationship between viscosity and temperature and a direct nonlinear relationship between the concentration of a solute and viscosity at constant temperature. The chapter focuses on the severe problems associated with attempts to describe a non-Newtonian fluid by means of a one-point measurement. Under certain conditions it is possible to use a one-point measurement as a quality control technique for non-Newtonian fluids. In some highly standardized systems the change in viscous properties during processing moves in a reproducible manner along a predetermined path. A one-point measurement may satisfactorily determine the endpoint in such a system.

15 citations

Journal ArticleDOI
TL;DR: In this paper, a finite difference method over the boundary-fitted orthogonal coordinate system is utilized to investigate numerically the fully developed steady flow of non-Newtonian yield viscoplastic fluid through concentric and eccentric annuli.

15 citations

Journal ArticleDOI
TL;DR: In this article, the authors considered a coupled problem of the deformation of a porous solid, flow of a compressible fluid and the electrical field in the mixture, and derived a generalized form of Darcy's law which includes electrokinetic coupling.
Abstract: We consider a coupled problem of the deformation of a porous solid, flow of a compressible fluid and the electrical field in the mixture. The governing equations consist of balance of the linear momentum of solid and of fluid, continuity equations of the fluid and current density, and a generalized form of Darcy's law which includes electrokinetic coupling. The compressibility of the solid and the fluid are taken into account. We transform these equations to the corresponding finite element relations by employing the principle of virtual work and the Galerkin procedure. The nodal point variables in our general formulation are displacements of solid, fluid pore pressure, relative velocity of the fluid and electrical potential. Derivation of the FE equations is presented for small displacements and elastic solid, which can further be generalized to large displacements and inelastic behaviour of the solid skeleton. According to this formulation we can include general boundary conditions for the solid, relative velocity of the fluid, fluid pressure, current density and electrical potential. The dynamic-type non-symmetric system of equations is solved through the Newmark procedure, while in the case of neglect of inertial terms we use the Euler method. Numerical examples, solved by our general-purpose FE package PAK, are taken from biomechanics. The results are compared with those available in the literature, demonstrating the correctness and generality of the procedure presented. © 1998 John Wiley & Sons, Ltd.

15 citations

Journal Article
TL;DR: In this paper, the authors show that for a given swimming gait, the time-averaged leading-order swimming kinematics of the body can be expressed as an integral equation on the solution to a series of simpler Newtonian problems, and then use their results to demonstrate that Purcell's scallop theorem, which cannot be used for locomotion in a Newtonian fluid, breaks down in polymeric fluid environments.
Abstract: In many biological systems, microorganisms swim through complex polymeric fluids, and usually deform the medium at a rate faster than the inverse fluid relaxation time. We address the basic properties of such life at high Deborah number analytically by considering the small- amplitude swimming of a body in an arbitrary complex fluid. Using asymptotic analysis and differential geometry, we show that for a given swimming gait, the time-averaged leading-order swimming kinematics of the body can be expressed as an integral equation on the solution to a series of simpler Newtonian problems. We then use our results to demonstrate that Purcell's scallop theorem, which states that time-reversible body motion cannot be used for locomotion in a Newtonian fluid, breaks down in polymeric fluid environments. Copyright c �EPLA, 2009

15 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202341
202295
202117
202022
201920
201836