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.

Blood flow Obeying Casson fluid Equation through an artery with radially non-symmetric mild stenosis

Abstract: The present paper deals with blood flow through a radially non-symmetric stenosed artery. Blood has been assumed to be a non-Newtonian fluid obeying Casson fluid. It is found that the resistance to flow increases as stenosis height increases and decreases as stenosis shape increases. It is also observed that resistance to flow increases as yield stress, blood viscosity and flux increases. The variat ions of wall shear stress with axial distance for different values of stenosis shape ( s ) has been shown graphically Keywords— Casson fluid, yield stress, Viscosity, resistance to flow, wall shear stress, flow, shape parameter

Comparison of Three Constitutive Models for the Analysis of Laminar Magnetorheological Fluid Flows

Abstract: In the current paper, three different constitutive models are employed for the analysis of laminar MRF (MagnetoRheological Fluid) flows between two parallel plates. The capability of a recently constructed non-convex constitutive model is compared with those of widely used Bingham model and Herschel-Bulkley model. The comparison among simulated flow velocity distributions and shear stress - shear strain rate characteristics based on different models is presented. It is shown that the non-convex consitutive model outperformance the other two models.

A physical decomposition of the stress tensor for complex flows

Abstract: Traditionally, the components of the stress with respect to a relevant coordinate system are used for the purpose of stress visualisation and interpretation. A case for using a flow dependent measure to interpret and visualise stress is made for two dimensional flow, together with a suggestion for extending the idea to three dimensions. The method is illustrated for Newtonian and Oldroyd B fluids in both the eccentrically rotating cylinder and flow past a cylinder benchmark problems. In the context of a generalised Newtonian fluid, the relation between the flowdependent stress measure to other field variables under certain flow conditions, is examined and is indicative of its importance in complex flow.

Analytic solutions for the unsteady longitudinal flow of an oldroyd-b fluid with fractional model

Abstract: The unsteady flow of an Oldroyd-B fluid with fractional derivative model, between two infinite coaxial circular cylinders, is studied by using finite Hankel and Laplace transforms. The motion is produced by the inner cylinder that, at time t = 0+, is subject to a time-dependent longitudinal shear stress. The solutions that have been obtained, presented under series form in terms of the generalized G and R functions, satisfy all imposed initial and boundary conditions. The corresponding solutions for ordinary Oldroyd-B and generalized and ordinary Maxwell and Newtonian fluids, performing the same motion, are obtained as limiting cases of our general solutions. Finally, the influence of the pertinent parameters on the fluid motion, as well as a comparison between models, is shown by graphical illustrations.