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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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2 citations
TL;DR: In this paper, the effects of heat and mass transfer on magneto-the hydrodynamic boundary layer flow through an annular duct in the presence of magnetic field and viscous dissipation of rheological fluid.
Abstract: An analysis is carried out to study the effects of heat and mass transfer on magneto-the hydrodynamic boundary layer flow through an annular duct in the presence of magnetic field and viscous dissipation of rheological fluid. The fluid is assumed to be electrically conducted and the damper piston moves with a constant velocity; magneto-rheological fluid field dependant characteristics and their thickening effects are defined by a modified Herschel-Bulkley visco-plasticity model. A magnetic field is applied transversely to the direction of flow. A numerical solution for the steady visco-plastic (magneto-dynamic) laminar boundary layer flow through the duct of the damper in the presence of damper fluid (species) concentration and mass diffusion through the annular duct of controllable fluid damper has been obtained by transforming the governing equations to nonlinear ordinary differential equations through similarity transformations. Numerical calculations up to a third level of truncations are carried out ...
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Journal Article•
TL;DR: In this paper, the authors combine the constitutive equation of Herschel-Bulkley fluid with the momentum equation and the energy equations of non-Newtonian fluid to obtain the velocity and the temperature profiles for the annulus pipe flow of the Hessian fluid.
Abstract: Herschel-Bulkley equation which includes three parameters is often used in drilling to describe the rheology of drilling fluid, for its high precision. Combining the constitutive equation of Herschel-Bulkley fluid with the momentum equation and the energy equations of non-Newtonian fluid, the velocity and the temperature profiles for the annulus pipe flow of Herschel-Bulkley fluid are obtained. The numerical results show that there is a slug flow in the annulus pipe due to the action of Herschel-Bulkley yield stress τ_0 . The size of the slug is in direct proportion to τ_0 and inverse proportion to ΔP~*L . The velocity of the slug flow increases as the size of the annular space increases, and decreases as the rheology exponent increases. The temperature in the slus flow is in logarithmic form in which the outside temperature is not identical with the inside. And from the boundary of the slug flow to the pipe wall the temperature graduallly decreases. Furthermore, the nearer to the pipe wall, the faster the temperature decreases.
2 citations
TL;DR: In this article, a continuum model of an interface in a one-component fluid is developed in the special case when the fundamental equation of the fluid may be written in the local form F = F (θ,p,(∇p) 2, ∇ 2 p) where P may be regarded as a thermodynamic pressure.
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TL;DR: In this article, a mathematical model for periodic blood flow in a rigid circular tube of thin diameter is presented, which considers core fluid as a casson fluid which is covered by a thin layer of Newtonian fluid (plasma).
2 citations