WebIt can be described mathematically as follows: τ = YP + PV (γ), where τ = shear stress γ = shear rate YP = yield point PV = plastic viscosity. Fluids obeying this model are called Bingham plastic fluids and exhibit a linear shear - stress, shear-rate behavior after an initial shear stress threshold has been reached. WebApproximate explicit analytical expressions of friction factor for flow of Bingham fluids in smooth pipes using Adomian decomposition method ... Some numerical examples are presented to illustrate the accuracy and ability of the proposed method. ... Appl Math Comput 2006;173:468–83. [32] Hanks RW, Pratt DR. On the flow of Bingham plastic ...
On the flow of viscoplastic fluids in non-circular tubes
In materials science, a Bingham plastic is a viscoplastic material that behaves as a rigid body at low stresses but flows as a viscous fluid at high stress. It is named after Eugene C. Bingham who proposed its mathematical form. It is used as a common mathematical model of mud flow in drilling engineering, and in … See more Figure 1 shows a graph of the behaviour of an ordinary viscous (or Newtonian) fluid in red, for example in a pipe. If the pressure at one end of a pipe is increased this produces a stress on the fluid tending to make it move … See more The material is an elastic solid for shear stress $${\displaystyle \tau }$$, less than a critical value $${\displaystyle \tau _{0}}$$. Once the critical shear stress (or "yield stress") is exceeded, the material flows in such a way that the shear rate, ∂u/∂y (as defined in the See more Although an exact analytical solution of the Buckingham–Reiner equation can be obtained because it is a fourth order polynomial … See more • Bagnold number • Bernoulli's principle • Bingham-Papanastasiou model • Rheology See more In fluid flow, it is a common problem to calculate the pressure drop in an established piping network. Once the friction factor, f, is known, it becomes easier to handle different pipe-flow problems, viz. calculating the pressure drop for evaluating … See more Darby–Melson equation In 1981, Darby and Melson, using the approach of Churchill and of Churchill and Usagi, developed an expression to get a single friction factor … See more WebExamples of Bingham plastic fluids: toothpaste, mayonnaise, chocolate, mustard. These fluids need a force to be applied before they can flow. Their viscosity doesn’t change … therapie sherbrooke
Examples of bingham plastic fluids toothpaste - Course …
WebAug 23, 1993 · As shown in Fig. 3, the example fluid's or yield stress was only 6.6 lb/160 sq ft, substantially less than the 13 lb/100 sq ft calculated using the Bingham plastic model. WebMay 17, 2024 · The opposite type of fluid for pseudoplastic is Bingham fluid. It is a time-dependent fluid because the shear stress applied to the fluid during a particular amount of time is taken to determine the change in viscosity. ... Some common examples of thixotropic fluids include cytoplasm of cells, synovial fluid, some varieties of honey, some types ... WebBingham plastic Several examples are clay suspensions, drilling mud, toothpaste, mayonnaise, chocolate, and mustard. The surface of a Bingham plastic can hold peaks when it is still. By contrast Newtonian fluids have flat featureless surfaces when still. therapiesimulator