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.

Peristaltic Flow of Herschel-Bulkley Fluid in an Elastic Tube with Slip at Porous Walls

Abstract: A mathematical model for the impact of slip velocity on peristaltic transport of blood flow has been investigated by utilizing the Herschel-Bulkley model in a flexible tube. The closed-form solutions are obtained for velocity, plug flow velocity, and volume flux. It is noticed that the impact of yield stress, amplitude ratio, Darcy number, velocity slip parameter, elastic parameters and fluid behavior index plays a vital role in controlling the flux in an elastic tube. The outcomes acquired from the flow quantities reveal that, the volume flux in a flexible tube decreases with an increase in the porous parameter and it increases with an increase in the slip parameter. Further, the results of Newtonian, Bingham plastic and Power-law models have been presented graphically and analysed

Second law analysis for hydromagnetic couple stress fluid flow through a porous channel

Abstract: In this work, the combined effects of magnetic field and ohmic heating on the entropy generation rate in the flow of couple stress fluid through a porous channel are investigated. The equations governing the fluid flow are formulated, non-dimensionalised and solved using a rapidly convergent semi-analytical Adomian decomposition method (ADM). The result of the computation shows a significant dependence of fluid’s thermophysical parameters on Joule’s dissipation as well as decline in the rate of change of fluid momentum due to the interplay between Lorentz and viscous forces. Moreover, the rate of entropy generation in the flow system drops as the magnitude of the magnetic field increases.

On the quality of viscoelastic flow solutions: An adaptive refinement study of a Newtonian and a maxwell fluid

Abstract: SUMMARY Little adaptive finite element work has been done in the area of viscoelastic flow in complex geometries. In this paper an adaptive finite element mesh refinement study is carried out on a Newtonian fluid and a Maxwell fluid in an axisymmetric 4: 1 contraction. The error indicator used for the refinement is the local norm of the residual in an element. For the Newtonian fluid, steady improvement with refinement is seen, though this is not the case for the Maxwell fluid, which never achieves a solution of good quality.

Slow motion of a bubble in a viscoelastic fluid

Abstract: The motion of a deformed spherical body in a fluid medium is significantly different from the motion of an undeformed spherical body in the same medium. It is shown in this work that a bubble moving in a viscoelastic fluid takes the shaper=a+U 0η0/σa(λ 1−λ 2)(180R 3+240R 2+816R+672)P 2(cosθ)/960(1+R)3 and so one must expect the dynamics of a bubble moving in a non-Newtonian fluid to be significantly different from that of a bubble moving in a purely viscous fluid.

Pressure Drop Characteristics in Continuum-Based Laminar Compressible Microconvective Flow

Abstract: Pressure drop (Δp) in microconvective flows is of basic importance in several applications in which fluid flows through micropassages for heat removal. This investigation studies the effects of variations in air properties due to convective heat transfer on basic laminar microflow parameters: wall shear stress, Fanning friction factor, pressure drop, and Darcy friction factor. These effects are classified as direct and indirect. The direct effects are due to the variations in fluid flow parameters, gas density (ρ) and dynamic viscosity (μ), which determine the axial velocity field, wall shear stress, and pressure drop. The indirect effects are due to the variations in fluid thermal parameters, specific heat at constant pressure, and thermal conductivity, which affect the temperature field; consequently, ρ and μ are affected. Numerical results show that microflow characteristics are significantly influenced by variable fluid properties, and predicted Δp drastically differed at low Reynolds number and high ...