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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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Book ChapterDOI
01 Jan 2005
TL;DR: This chapter provides an introduction to finite element treatment of the equations of motion for various problems of fluid mechanics on problems in which displacement is continuously changing and velocity is the main characteristic of the flow.
Abstract: Fluids cannot support any deviatoric stresses when at rest. Only a pressure or a mean compressive stress can be carried. Deviatoric stresses can develop when the fluid is in motion and such motion of the fluid will always be of primary interest in fluid dynamics. This chapter concentrates on problems in which displacement is continuously changing and velocity is the main characteristic of the flow. The deviatoric stresses can be characterized by a quantity that has great resemblance to the shear modulus of solid mechanics and that is known as dynamic viscosity. This chapter provides an introduction to finite element treatment of the equations of motion for various problems of fluid mechanics. Much of the activity in fluid mechanics has pursued a finite difference formulation and more recently a derivative of this known as the finite volume technique. In fluid mechanics, all situations of flow require a two- or three-dimensional treatment and there approximation is required. A methodology which appears to have gained an intermediate position is that of finite volumes, which were initially derived as a subclass of finite difference methods.

9 citations

Journal ArticleDOI
TL;DR: In this article, the authors derived yield shear stresses and shear rates at a valve wall from experimental results on a series of concentric cylinder valves, where the fluid constitutive equation used for this purpose is that of a Bingham Plastic.
Abstract: Yield shear stresses and shear rates at a valve wall are derived from experimental results on a series of concentric cylinder valves. The fluid constitutive equation used for this purpose is that of a Bingham Plastic. Valve plates (which are such that the radial gap is small compared to its mean pitch) are taken to be parallel so far as the derivation of the flow ν's pressure ν's geometry model is concerned. A range of electrode separations from 0.5 to 1.0mm are used with flow velocities being limited to the region where the viscous pressure drop component is below that caused by the electro stress. Results show that (away from the region of low shear rates and high voltages) the wall stresses for equivalent conditions are comparable for different valves, for a range of applied field strengths and mean flow velocities. Thus, provided the hysteretic region is avoided the fluid can be treated as a Bingham continuum with some stated reservations. However, this is only applied with precision for the truly corresponding situations defined in the paper.

9 citations

Journal ArticleDOI
TL;DR: In this article, a two-phase flow model of blood in a flexible stenotic artery was analyzed using Newtonian and Herschel-Bulkley constitutive relations to model the core and peripheral regi...
Abstract: A study is conducted to analyze two-phase flow model of blood in a flexible stenotic artery. The Newtonian and Herschel–Bulkley constitutive relations are used to model the core and peripheral regi...

9 citations

Journal ArticleDOI
TL;DR: In this paper, a parametric study has been conducted on the fluid flow through micro-fracture over a large range of inlet pressure, fluid density, fluid viscosity, temperature, joint roughness coefficient (JRC), and fracture using finite element analysis.
Abstract: Understanding the flow behavior through fractures is critically important in a wide variety of applications. In many situations, the fluid flow can be highly irregular and non-linear in nature. Numerical simulation can be employed to simulate such conditions which are difficult to replicate in laboratory experiments. Therefore, a parametric study has been conducted on the fluid flow through micro-fracture over a large range of inlet pressure, fluid density, fluid viscosity, temperature, joint roughness coefficient (JRC), and fracture using finite element analysis. Irregular fracture profiles were created using Barton’s joint roughness coefficient. The Navier-Stokes (NS) equation was used to simulate the flow of water in those micro-fractures. The result showed that the fracture, fluid, and ambient conditions have a wide and varied effect on the fluid flow behavior. The interrelationship between these parameters was also studied. The model simulation provided result in the form of velocity and pressure drop profile, which can be used to determine the behavior of flow under different condition. The volumetric flow was calculated for each condition and has been plotted against the corresponding parameter to study the interrelationship.

9 citations


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