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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 article, a steady two-dimensional flow of an electrically conducting incompressible fluid over a vertical stretching sheet is considered, and the fluid viscosity is assumed to vary as a linear function of temperature.
Abstract: This article concerns with a steady two-dimensional flow of an electrically conducting incompressible fluid over a vertical stretching sheet. The flow is permeated by a uniform transverse magnetic field. The fluid viscosity is assumed to vary as a linear function of temperature. A scaling group of transformations is applied to the governing equations. The system remains invariant due to some relations among the parameters of the transformations. After finding three absolute invariants, a third-order ordinary differential equation corresponding to the momentum equation, and two second-order ordinary differential equations corresponding to energy and diffusion equations are derived. The equations along with the boundary conditions are solved numerically. It is found that the decrease in the temperature-dependent fluid viscosity makes the velocity to decrease with the increasing distance of the stretching sheet. At a particular point of the sheet, the fluid velocity decreases with the decreasing viscosity but the temperature increases in this case. Impact of thermophoresis particle deposition in the presence of temperature-dependent fluid viscosity plays an important role on the concentration boundary layer. The results, thus, obtained are presented graphically and discussed.

19 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigate core annular flow (CAF) using computational techniques for the case in which the core fluid is non-Newtonian and the annular fluid is Newtonian.

18 citations

Journal ArticleDOI
TL;DR: In this article, the authors describe the development of a fluid-solid finite element to model plates subjected to flowing fluid under various boundary conditions, using a combination of the hybrid finite element method and Sanders' shell theory.
Abstract: Elastic structures subjected to fluid flow undergo a considerable change in their dynamic behavior and can lose their stability. In this article we describe the development of a fluid-solid finite element to model plates subjected to flowing fluid under various boundary conditions. The mathematical model for the structure is developed using a combination of the hybrid finite element method and Sanders’ shell theory. The membrane displacement field is approximated by bilinear polynomials and the transversal displacement by an exponential function. Fluid pressure is expressed by inertial, Coriolis and centrifugal fluid forces, written respectively as function of acceleration, velocity and transversal displacement. Bernoulli’s equation for the fluid-solid interface and partial differential equation of potential flow are applied to calculate the fluid pressure. An impermeability condition ensures contact between the system of plates and the fluid. Mass and rigidity matrices for each element are calcul...

18 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigated the Laminar heat transfer of a Herschel-Bulkley fluid in the entrance region of a square duct assuming fully developed velocity profile, and the energy equation with viscous dissipation effects was solved by using an implicit Crank-Nicolson method to obtain the temperature distributions.

18 citations

Journal ArticleDOI
TL;DR: In this article, a viscoelastic constitutive model with non-monotone curves is proposed to explain thixotropic yield stress behavior, where the stress tensor for the model is a combination of the partially extending strand convection model modified to allow the shear stress to approach a non-negative limit for large shear rates.
Abstract: We present a new mathematical perspective to study the dynamics of constitutive models with non-monotonic curves that naturally explains thixotropic yield stress behavior. To illustrate, a viscoelastic constitutive model, which generates a non-monotone shear stress as a function of shear rate in a steady homogeneous parallel shear flow, is investigated for the dynamics initiated by a step-up or step-down in prescribed shear stress. The stress tensor for the model is a combination of the partially extending strand convection model modified to allow the shear stress to approach a non-negative limit for large shear rates, and a Newtonian solvent contribution. We address the case where the relaxation time is large. In this limit, the first maximum in the non-monotone curve occurs at a small shear rate, characterized by a parameter ϵ ≪ 1 . There is no presumption of a yield stress, but nevertheless, we obtain yield stress behavior in this limit. Complex behaviors such as yield stress hysteresis, dependence of yield stress on time scales, thixotropy, apparent unyielding at a small non-negative shear stress, and an apparent viscosity which evolves on a slow time scale, are explained by this model. The direct numerical simulation of the full governing equations is performed in conjunction with a perturbation analysis with multiple time scales, in order to characterize yielded states. A novel time-periodic fracture-heal solution, with each period composed of a short yielded flow and a long unyielded state is found. Oscillations of this nature have been reported for a soft-glassy material which fractures on a fast time scale and reheals on a slow time scale.

18 citations


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