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.

Effects of viscous dissipation and axial heat conduction on forced convection flow of herschel-bulkley fluid in circular duct with axially variable wall heat flux

Abstract: The present study focuses on the effects of viscous dissipation and axial heat conduction on the asymptotic behavior of the laminar forced convection in a circular duct for a Herschel-Bulkley fluid with variable wall heat flux. Analytical asymptotic solutions are presented for the case of axial variations of the wall heat flux, with finite non-vanishing values at infinity along the flow direction. The asymptotic bulk and mixing Nusselt numbers and the asymptotic bulk and mixing temperature distributions are evaluated analytically in the case of axially variable wall heat flux for which polynomial and logarithmic functions are considered as examples. It is shown that the asymptotic bulk Nusselt number depends on the dimensionless radius of the plug flow region a, on the power-law exponent n, on the Peclet number Pe and the asymptotic Brinkman number BBBB∞. The effects of yield stress, Peclet number, and Brinkman number on the asymptotic bulk Nusselt number are discussed.

Forced flow of a second-order fluid against a rotating disk

Abstract: The steady forced flow of an incompressible second-order fluid against a rotating disk is discussed here. The flow produced by the rotation of a disk in an infinite fluid which is otherwise at rest and the flow near a stagnation point occurring on a flat plate are particular cases of this problem and they have been discussed in detail. The effects of second-order terms in the constitutive equation of the fluid are (1) to decrease the thickness of the boundary layer formed near the disk, (2) to increase the magnitude of the radial and axial velocity components, and to decrease the magnitude of rotational velocity component at any point in the fluid within the boundary-layer region, and (3) to increase the dimensionless moment coefficient.

Influence of non‐isothermal fluid properties on the growth of spherical fluid shells

Abstract: This numerical study explores the influence of the time dependence of material fluid parameters on the transient temperature evolution during the growth of fluid shells. The shell is spherical, the fluid is Newtonian, and the flow is induced by a constant driving pressure. The coupled heat and flow equations are solved numerically using the cobody (Lagrangian) transformation and a central difference discretization in space. The range of material values is adjusted from existing experiments. It is generally found that the variation in viscosity, surface tension and specific heat can have a significant influence on both the growth rate and temperature evolution. Thermal conductivity is found to be of little influence.

Kinetic energy correction factor of a Herschel-Bulkley fluid

Abstract: Two simple equations were developed to estimate the kinetic energy correction factor (α) of a Herschel-Bulkley fluid in laminar flow. These approximations result in errors of less than 3% when compared to the exact values of α

Study of Non-Newtonian Synovial Fluid Flow by a Recursive Approach

Abstract: This study analyses the non-Newtonian synovial fluid flow between the joints in a synovitis which is a diseased condition due to inflammation of synovial membrane. It is assumed in this study that the secretion of synovial fluid through the inflamed synovial membrane is a linear function of the membrane length. The mathematical modelling of synovial fluid through a synovial membrane is mad by the non-Newtonian Linear Phan Thien Tanner (LPTT) fluid model through a thin conduit having permeable walls. The nonlinear flow of LPTT fluid gives the non-homogeneous complex boundary value problem and recursive approach is used to solve the problem. The flow of synovial fluid along and across the membrane is calculated under the inflamed membrane and results are displayed through graphs, the axial pressure required for the non-Newtonian fluid flow and deformation of synovial fluid produces the shearing forces near the synovial membrane are also calculated. The purpose of this research is to observe the shear stress on the synovial fluid and inflammation rate on the flow along the membrane at different position and pressure required for the flow of synovial fluid in diseased condition. The mathematical and graphical results for pressure, flow, volume flux and streamline are calculated and plotted in the software MATHEMATICA. This study is very helpful for the biomedical engineers to measure the compression force and shear stress on the synovial fluid in a diseased condition and can be controlled by the viscosity of the synovial fluid.