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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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TL;DR: In this article, the simple Cross model is shown to be a useful empiricism for many non-Newtonian fluids, including those which have hitherto been thought to possess a yield stress.
Abstract: New experimental data obtained from constant stress rheometers are used to show that the yield stress concept is an idealization, and that, given accurate measurements, no yield stress exists. The simple Cross model is shown to be a useful empiricism for many non-Newtonian fluids, including those which have hitherto been thought to possess a yield stress.
582 citations
TL;DR: The ICE technique for numerical fluid dynamics has been revised considerably, and generalized in such a way as to extend the applicability to fluid flows with arbitrary equation of state and the full viscous stress tensor as mentioned in this paper.
510 citations
TL;DR: In this paper, a theoretical method for the determination of the shape of a fluid drop in steady and unsteady flows by making an expansion in terms of the drop deformation is given.
Abstract: A theoretical method is given for the determination of the shape of a fluid drop in steady and unsteady flows by making an expansion in terms of the drop deformation. Effects of fluid viscosity and interfacial tension are taken into account. Examples given include the determination of the shape of a drop in shear and in hyperbolic flow when each is started impulsively from rest.
485 citations
TL;DR: In this paper, a resistance transformation is introduced which in part transforms the local average velocity vector into the local force per unit volume which the fluid exerts on the pore walls.
Abstract: Local volume averaging of the equations of continuity and of motion over a porous medium is discussed. For steady state flow such that inertial effects can be neglected, a resistance transformation is introduced which in part transforms the local average velocity vector into the local force per unit volume which the fluid exerts on the pore walls. It is suggested that for a randomly deposited, although perhaps layered, porous structure this resistance transformation is invertible, symmetric, and positive-definite. Finally, for an isotropic porous structure (the proper values of the resistance transformation are all equal and are termed the resistance coefficient) and an incompressible fluid, the functional dependence of the resistance coefficient is discussed with the Buckingham-Pi theorem used for an Ellis model fluid, a power model fluid, a Newtonian fluid, and a Noll simple fluid. Based on the discussion of the Noll simple fluid, a suggestion is made for the correlation and extrapolation of experimental data for a single viscoelastic fluid in a set of geometrically similar porous structures.
443 citations
Book•
01 Jan 1940
TL;DR: The Reynolds Transport Theorem and the Impulse-Momentum Principle as discussed by the authors have been used to describe the behavior of real and simulated real fluids. But they do not describe the dynamics of real fluid flow.
Abstract: Fundamentals. Fluid Statics. Kinematics of Fluid Motion. Systems, Control Volumes, Conservation of Mass, and The Reynolds Transport Theorem. Flow of an Incompressible Ideal Fluid. The Impulse--Momentum Principle. Flow of a Real Fluid. Similitude, Dimensional Analysis and Normalization of Equations of Motion. Flow in Pipes. Flow in Open Channels. Lift and Drag--Incompressible Flow. Introduction to Fluid Machinery. Flow of Compressible Fluids. Fluid Measurements. Appendices. Index.
439 citations