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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 paper, a self-similar solution to the problem is constructed under the assumption of the quasi-steady character of the fracturing fluid flow in a crack and in a stratum and of a locally one-dimensional character of fluid-loss through the crack surfaces.
Abstract: The propagation of a vertical hydraulic fracture of a constant height driven by a viscous fluid injected into a crack under constant pressure, is considered. The fracture is assumed to be rectangular, symmetric with respect to the well, and highly elongated in the horizontal direction (the Perkins and Kern model). The fracturing fluid viscosity is assumed to be different from the stratum saturating fluid viscosity, and the stratum fluid displacement by a fracturing fluid in a porous medium is assumed to be piston-like. The compressibility of the fracturing fluid is neglected. The stratum fluid motion is governed by the equation of transient seepage flow through a porous medium. A self-similar solution to the problem is constructed under the assumption of the quasi-steady character of the fracturing fluid flow in a crack and in a stratum and of a locally one-dimensional character of fluid-loss through the crack surfaces. Crack propagation under a constant injection pressure is characterized by a variation of the crack sizel in timet according to the lawl(t)=l o (1+At)1/4, where the constantA is the eigenvalue of the problem. In this case, the crack volume isV∼l, the seepage volume of fracturing fluidV f ∼l 3, and the flow rate of a fluid injected into a crack isQ 0∼l −1.

18 citations

Journal ArticleDOI
TL;DR: The steady flow arising due to the rotation of a non-Newtonian fluid at a larger distance from a stationary disk is extended to the case where the disk surface admits partial slip.

18 citations

Journal ArticleDOI
TL;DR: In this paper, the shape analysis of the magnetic fluid under the external force was performed by solving the Navier-Stoke equation and the magnetic field energy equation simultaneously, and the final curvature of the fluid was determined under constraint of magnetic-fluid volume.
Abstract: In this paper, the method to obtain the shape of the magnetic fluid under the external force is derived. For the shape analysis of the magnetic fluid, Maxwell equation for the magnetic-field energy and Navier-Stoke equation for the mechanical energy of the fluid need to be solved simultaneously. The main idea of the method is that dynamic constant is the same value on the fluid surface because of the boundary equilibrium conditions. The final curvature of the fluid is determined under constraint of the magnetic-fluid volume. The effects of the gravitational force, centrifugal force, and external pressure on the shape of the magnetic fluid are analyzed and the computed results agreed well with photographic images.

18 citations

Journal ArticleDOI
TL;DR: In this paper, non-recirculating and recirculating inertial flows of elasto-viscoplastic yield stress fluid (Carbopol® gel) around a cylinder were studied experimentally.
Abstract: Non-recirculating and recirculating inertial flows of an elasto-viscoplastic yield stress fluid (Carbopol® gel) around a cylinder were studied experimentally. The experimental set-up that was designed and built was validated by studying the flow of a Newtonian fluid. Appropriate procedures were introduced for yield stress fluids. Changes in the morphology of the flow behind the cylinder were studied for Oldroyd numbers between 0 and 0.5 and Reynolds numbers between 10 and 100. The characteristic lengths of the flow and the separation angle of the streamlines were determined. They were compared with the numerical predictions for a Herschel–Bulkley viscoplastic fluid. The limits between the different flow regimes were determined experimentally and compared with the numerical results. The influence of the boundary conditions, and in particular slip on the cylinder, were also evaluated experimentally.

18 citations

Journal ArticleDOI
TL;DR: In this article, the field-dependent Bingham and response characteristics of ER fluid under shear and flow modes were presented and two different types of electroviscometers were designed and manufactured for the shear mode and flow mode, respectively.
Abstract: This paper presents field-dependent Bingham and response characteristics of ER fluid under shear and flow modes. Two different types of electroviscometers are designed and manufactured for the shear mode and flow mode, respectively. An ER fluid consisting of soluble chemical starches (particles) and silicon oil is made and its field-dependent yield stress is experimentally distilled at two different temperatures using the electroviscometers. Time responses of the ER fluid to step electric fields are also evaluated under two operating modes. In addition, a cylindrical ER damper, which is operated under the flow mode, is adopted and its measured damping force is compared with predicted one obtained from Bingham model of the shear and flow mode, respectively.

18 citations


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