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") … See more Although an exact analytical solution of the Buckingham–Reiner equation can be obtained because it is a fourth order polynomial equation in f, due to complexity of the solution it is … 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 equation valid for all flow regimes: See more WebThe Bingham Plastic model uses a constant value for plastic viscosity, meaning a value for μ∞ of 0 would result in a Newtonian fluid. Some fluids may see Bingham …
Explicit equations for laminar flow of Bingham plastic fluids
WebDec 1, 1999 · A friction factor equation for yield fluids (yield-pseudoplastic, yield-dilatant, Bingham) was derived from flow equation under turbulent pipe flow conditions. The rheological characteristics of the yield fluid were described by Herschel and Bulkley model. curb your enthusiasm images
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WebFeb 11, 2024 · The Bingham Plastic model also has two empirical constants. Here, we've written those constants as S y and R C, representing the yield stress and coefficient of rigidity for the fluid. The fluid yield stress can also be written as τ y, τ B, or τ 0. Similarly, the fluid coefficient of rigidity may be written as µ ∞ or η B. WebMar 1, 2011 · Friction factor for Bingham plastic fluids. 2. Bingham plastic fluid flow problems The variables influencing the pipe flow of Bingham fluids are listed as: (1) The … WebFeb 14, 2014 · The slime behaves as a Bingham plastic at 90 F (the pipeline operating temperature) with τo = 2.76 X 10-4 psi, μ= 27 cP and ρ = 87.3 lbm / ft3. Determine the pressure drop in the line and the required pump horsepower. Homework Equations The Attempt at a Solution easy duck drawings