WebA 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 … 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
Bingham Plastic - Friction Factor Formulae Technology Trends
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 … WebThe fanning friction factor is defined by: = 𝝉𝒘 𝝆𝒖 (3.8) For laminar flow of a non-Newtonian fluid, the wall shear stress can be expressed in terms of ′ and 𝒏′ as: 𝝉𝒘 = ′ 𝒖 𝒊 𝒏′ (3.9) On substituting for 𝝉𝒘 equation 3.8, the Fanning friction factor for laminar non-Newtonian flow becomes: eartha kitt back in business
Analytical solutions for Bingham Plastic Fluids in Laminar Regime
WebIf we look at a graph of its shear rate (how fast the fluid is moving) vs shear stress (resistance to flow), a Bingham Plastic fluid follows a linear trend (y = 0.0197x + 52.68). WebBingham Plastic - Friction Factor Formulae - Turbulent Flow Turbulent Flow Darby and Melson developed an empirical expression that was then refined, and is given by: WebThe friction factor for a Bingham plastic can be calculated for any Reynolds number from the equation. f = ( fLm + fTm ) 1/m where, fL is laminar flow friction factor and fT is … in christ alone scripture verse