A yield stress is added to Taylor's (1952, Proc. Royal Soc. , 211 225-239) model of a microscopic organism with wavy cylindrical tail swimming through viscous fluid. Viscoplastic slender-body theory employed for the task, generalising existing results Bingham fluid Herschel–Bulkley constitutive model. Numerical solutions are provided over range two key parameters problem: wave amplitude relativ...

If one wants to minimize a nonlinear functional it is often fruitful to consider the relationships which must hold at a minimum If the functional is di erentiable and the permitted variations at the minimum constitute a linear space this process gives equations that the minimum must satisfy and if the functional is quadratic these equations are linear However if the set of permitted variations ...

and B. Zhang, Department of Civil Engineerign, Case Western Reserve University, 10900 Euclid Avenue, Bingham 210, Cleveland OH 44016-7201, [email protected], Department of Civil Engineerign, Case Western Reserve University, 10900 Euclid Avenue, Bingham 203C, Cleveland OH 44016-7201, [email protected]. Department of Civil Engineerign, Case Western Reserve University, 10900 Euclid Avenue, Bingham 203B,...

We extend our recent work on the creeping flow of a Bingham fluid in a lid-driven cavity, to the study of inertial effects, using a finite volume method and the Papanastasiou regularisation of the Bingham constitutive model [J. Rheology 31 (1987) 385-404]. The finite volume method used belongs to a very popular class of methods for solving Newtonian flow problems, which use the SIMPLE algorithm...

In many geophysical or industrial applications involving flows of grains, a continuum description would be of considerable help, for example in predicting natural hazards or in designing industrial processes. However, constitutive equations for dry granular flows are still matter of debates 1-10. One difficulty is that grains can behave like a solid (in a sand pile), a liquid (when poured from ...

We analyse through numerical simulations, experiments, and scaling laws the dam-break problem for viscoplastic materials. Numerically, both two three-dimensional (2D 3D) scenarios are considered thanks to a proposed adaptive stabilized finite element framework able compute efficiently free surface flows of highly choose focus on Bingham model. Momentum mass equations solved by using Variational...

a mathematical analysis has been carried out for the axial flow of a bingham plastic fluid, in the concentric cylinder viscometer which consists of a cylindrical sample holder (the cup) and a cylindrical spindle (the bob) coaxial with the cup. the fluid to be tested flows through the annular gap of the cup and the bob system, sheared by the rotation of the inner cylinder, while the outer cylind...

An analysis of blood flow through a tapered artery with stenosis and dilatation has been carried out where the blood is treated as incompressible Herschel-Bulkley fluid. A comparison between numerical values and analytical values of pressure gradient at the midpoint of stenotic region shows that the analytical expression for pressure gradient works well for the values of yield stress till 2.4. ...

Abstract In this paper, CFD-based results are presented on the estimation of losses in bends with validated numerical models for single-phase, incompressible Bingham fluids. Five fittings were investigated: $$90^\circ$$ 90 ∘ different R / D ratios between 1 and 10. plas...