WebNov 21, 2024 · Commonly, velocity profiles are usually represented with on the Bingham number, which is defined as Bn = τ 0 μ B H v E16 In Eq. (16), v is a characteristic … WebThe velocity radial profile of the axial velocity when a Bingham plastic flows steadily in laminar flow in a round pipe can be calculated by integrating the differential equation 5.2 together with equation 5.15 (5.35) over the region of the pipe where τ > τ Y and (5.36) over regions of the pipe where τ ≤ τ Y.

36 Laminar flow in a concentric annulus - Bingham Plastic

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 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 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 WebThe Bingham plastic model is the most common rheological model used in the drilling industry. This model is a two parameter model that includes yield stress and plastic … northern tool wagon

Bingham Plastic Model - an overview ScienceDirect Topics

WebAug 13, 2024 · The steady-shear behaviour of the chocolate can be approximated by a Bingham plastic model with tB = 35 Pa and = 1 Pa-s. (a) Estimate the required pressure gradient to maintain the flow, and determine the velocity and the size of the plug. WebJan 15, 2002 · Analytical formulations for determining the size of the imaginary channel for flows of Newtonian, power law fluids, and Bingham plastics under prescribed tape-casting conditions are presented. Mathematical expressions for obtaining velocity profiles and flow rates are included, which are then used to estimate the thickness of a dried ceramic tape. WebApr 13, 2024 · Rosti et al. 16 studied a turbulent channel flow of an EVP fluid, finding that the shape of the mean velocity profile controls the regions where the fluid is unyielded, forming plugs around the ... how to sales talk