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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, the Stokes and Hadamard-Riabouchinsky formulas are generalized to the case of steady motion of a solid spherical particle or drop in an incompressible fluid whose viscosity depends exponentially on the temperature.
Abstract: The Stokes and Hadamard-Riabouchinsky formulas are generalized to the case of steady motion of a solid spherical particle or drop in an incompressible fluid whose viscosity depends exponentially on the temperature. It is shown that for finite temperature differences between the surface of the particle and the region far from it the drag is determined by an effective viscosity with value close to the geometric mean of the viscosity on the surface of the particle and far from it.

2 citations

Journal ArticleDOI
TL;DR: In this article, Couette flows of a Maxwell fluid caused by the bottom plate applying shear rate on the fluid, are studied and exact expressions for velocity and shear stress corresponding to the fluid motion are determined using Laplace transform.
Abstract: Some Couette flows of a Maxwell fluid caused by the bottom plate applying shear rate on the fluid, are studied. Exact expressions for velocity and shear stress corresponding to the fluid motion are determined using Laplace transform. Two particular cases of constant shear rate on the bottom plate and sinusoidal oscillations of the wall shear rate are discussed. Some important characteristics of fluid motion are highlighted through graphs.

2 citations

Journal Article
TL;DR: In this paper, the velocity field and the resulting shear stress are obtained by means of the Laplace and finite Hankel transforms and satisfy all the imposed initial and boundary conditions.
Abstract: This paper deals with the longitudinal flow of a generalized Maxwell fluid in an infinite circular cylinder, due to the longitudinal variable time-dependent shear stress that is prescribed on the boundary of the cylinder. The fractional calculus approach in the constitutive relationship model of a Maxwell fluid is introduced. The velocity field and the resulting shear stress are obtained by means of the Laplace and finite Hankel transforms and satisfy all the imposed initial and boundary conditions. The solutions corresponding to ordinary Maxwell fluids as well as those for Newtonian fluids are obtained as limiting cases of our general solutions. Finally, the influence of the fractional coefficient on the velocity and shear stress of the fluid is analyzed by graphical illustrations.

2 citations

Journal ArticleDOI
TL;DR: In this article, a numerical study of flow and heat transfer convection inside a lid-driven square cavity filled with a shear-thinning Herschel-Bulkley fluid is presented.
Abstract: The present numerical study, based on the finite volume method, deals with the characterization of flow and heat transfer convection inside a lid-driven square cavity filled with a shear-thinning Herschel–Bulkley fluid. The upper and bottom walls of the enclosure are thermally insulated, while the vertical ones are mobile and differentially heated. The study focuses on the effect of the fluid’s rheological properties, i.e., the fluid’s viscoplasticity (0.50 ≤ Bng ≤ 5000) and the flow index (0.2 ≤ n ≤ 1.0), on both flow and heat transfer within the cavity on one hand and on the modifications involved by the introduction of viscous dissipation (0 ≤ Br ≤ 10) on the other hand. The results show that the increase of the generalized Bingham number leads to the increase of the unyielded regions inside the enclosure. In addition, heat transfer is more pronounced for weak values of the generalized Bingham number and great values of the fluid’s flow index. Viscous dissipation modifies significantly both flow and heat transfer structures, especially for mixed and dominant natural convection. To sum up the obtained results, useful abacuses predicting the heat exchange within the enclosure are given.

2 citations


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