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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 mass conservation equation is trivially satisfied and the pressure remains undetermined when a fluid fills up a rotating box, but the pressure inside the fluid is easily obtained by solving a closed set of equations.
Abstract: When a fluid fills up a rotating box, the pressure inside the fluid is easily obtained by solving a closed set of equations. However, if the fluid is incompressible, the mass conservation equation is trivially satisfied and the pressure remains undetermined. After a preliminary analysis of the similar problem of a rotating rigid rod, this paradox is removed by giving the fluid a small value of the compressibility χ and taking χ→0 at the end of the calculation.
3 citations
TL;DR: In this article, a rheological study of a compact layer of highly swollen gel beads is presented, where the flow regimes of these systems are modelled by an elastic sinusoid moving in a Newtonian fluid.
Abstract: In this paper, we present a rheological study of a compact layer of highly swollen gel beads. The flow regimes of these systems are modelled by an elastic sinusoid moving in a Newtonian fluid. This model predicts a yield stress varying with the square root of the elastic modulus of the gel bead. The slope at the origin (at zero velocity) of the flow curve is expected to depend only on geometrical parameters and on the solvent viscosity. The experimental data are in qualitative agreement with the theoretical predictions.
3 citations
TL;DR: In this paper, the stability of the large Reynolds number flow of a Newtonian fluid over a much more viscous viscoelastic fluid was studied via a linear analysis, where the two fluids are confined within a channel and the flow is driven by the motion of the plate bounding the Newton fluid.
Abstract: The stability of the large Reynolds number flow of a Newtonian fluid over a much more viscous viscoelastic fluid is studied via a linear analysis. The two fluids are confined within a channel and the flow is driven by the motion of the plate bounding the Newtonian fluid. Matched asymptotic expansions are used to derive the dispersion relation, and the flow is found to be always unstable to an interfacial mode due to the discontinuity in the fluid viscosities. It is shown that even a small amount of elasticity of the viscoelastic fluid can change the stability characteristics considerably.
3 citations
TL;DR: In this paper, an analogy between the statically determinate state of stress in the perfectly plastic material and the steady irrotational flow of a hypothetical non-viscous fluid introduced by him is discussed.
Abstract: The author discusses an analogy between the statically determinate state of stress in the perfectly plastic material and the steady irrotational flow of a. hypothetical non-viscous fluid introduced by him, the pressure in which is proportional to the logarithm of its density and which has the same local Mach number \(\sqrt{2}\) throughout the whole field of flow. The hodograph method for this fluid flow is developed in detail, and besides an application of the W.K.B. method is considered. Several exact solutions of the fundamental differential equations illustrate the present new method of solving the isostatical problem in the theory of plasticity.
3 citations
TL;DR: In this paper, the scaledparticle theory equation of state for the two-dimensional hard disk fluid on a curved surface is used to determine the saddle-splay modulus of a particle-laden fluid interface.
Abstract: The scaled-particle theory equation of state for the two-dimensional hard-disk fluid on a curved surface is proposed and used to determine the saddle-splay modulus of a particle-laden fluid interface. The resulting contribution to saddle-splay modulus, which is caused by thermal motion of the adsorbed particles, is comparable in magnitude with the saddle-splay modulus of a simple fluid interface.
3 citations