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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 paper, the authors analyzed the non-steady flow of a Bingham fluid for a simple-shear flow geometry and showed that the spatial gradient of shear stress in the lateral direction is continuous across the yield surface.
Abstract: Non-steady flow of a Bingham fluid is analyzed for a simple-shear flow geometry. It is asserted that when a yield surface undergoes a lateral motion, the spatial gradient of shear stress in the lateral direction is continuous across the yield surface. Using this property, the equation of motion of a Bingham fluid was transformed into a form of the moving boundary problem in which appropriate boundary conditions are supplemented at the yield surface. This problem is compared with the co-called Stefan problem of crystallization. We find that, in a Bingham fluid, the lateral motion of the yield surface is determined by a spatio-temporally non-local mechanism, while, in the Stefan problem, the motion of the crystallization front is determined merely by a spatially non-local mechanism.
10 citations
10 citations
TL;DR: In this paper, the velocity field and the adequate shear stress corresponding to the motion of an Oldroyd-B fluid between two infinite coaxial circular cylinders by means of finite Hankel transforms are established.
10 citations
Patent•
11 Feb 2014TL;DR: In this article, a one-dimensional flow model consisting of an effective diffusion coefficient model for a composite fluid volume comprising the first and second fluids is generated. And the model can represent flow of a first fluid and a second fluid in a flow path in a well system environment.
Abstract: In some aspects, a one-dimensional flow model is generated. The one-dimensional flow model can represent flow of a first fluid and a second fluid in a flow path in a well system environment. The one-dimensional flow model comprises an effective diffusion coefficient model for a composite fluid volume comprising the first and second fluids. The effective diffusion coefficient model calculates an effective diffusion coefficient for the composite fluid volume based on a difference between the respective densities and viscosities of the first fluid and the second fluid.
10 citations
TL;DR: The mathematical model clearly shows that the increase in wall shear stress affects the aggregation of human platelets and rearranging the alignment of endothelial cells near the arterial wall, which reduces the amount of blood supply to the vital organs which ultimately leads to a sudden death.
10 citations