(i) The Bingham plastic model This is the simplest equation describing the flow behaviour of a fluid with a yield stress and, in steady one-dimensional shear, it is written as: (1.17)τyx=τ0B+μB(γ˙yx)for |τyx|>|τ0B|γ˙yx=0for |τyx|<|τ0B| Often,...
In the present work, the flow in both doctor blade regions of a slurry is described with a steady state momentum equation in combination with a Bingham plastic constitutive equation, and this is integrated to a closed form analytical solution for both reservoirs based on the desired wet tape ...
fluid is assumed to satisfy the Bingham-Plastic model, is presented to understand the mechanism of the motion of fluid mud under waves and currents. The studied scenarios are that the fluid mud layer moves on the flat bottom, the interface of the water and fluid mud is stable, and the...
Bingham model- a model representing the flow behavior of a Bingham plastic, in the idealized case. Bingham plastic- a material that, in the idealized case, does not flow until a critical stress (yield stress) is exceeded, and then flows at a rate proportional to the excess of stress over...
This equation mimics the ideal Bingham plastic (for m≥200 s or by dimensionless arguments when mτy/μ≥200 [1]). The results are given as a function of the Bingham number, Bn, defined in this case by:Bn=τyHμV,where V is the squeeze disk (plate) velocity. In full tensorial ...
Bingham plastic fluid and the Bingham pseudo plastic fluid are a type of non-Newtonian liquid that exhibits unique yield stress. A physically consistent particle technique was used to develop and evaluate the BF simulation model1. A mathematical investigation was conducted on the flow of a BF ...
1) Bingham plastic flow 宾厄姆塑性流2) Bingham fluid 宾厄姆流体 1. The nonuniform capillary the group model is used to establish the generalized Darcy′s law and a general equation of the power law fluid and Bingham fluid flow through porous media. 通过不均匀的毛细管组模型,建立了幂律型...
The constitutive equation is a generalized Jeffreys model given by: $$ \dot\gamma+\theta_{2}\ddot\gamma=\frac{\theta_{2}}{\eta_{\infty}}\left( \frac{\tau}{\theta_{1}}+\dot\tau\right) $$ (5) where $$ \theta_{1}=\left( 1-\frac{\eta_{\infty}}{\eta_{v}(\lambda)}\...
The rheological model for the apparent viscosity of a Bingham plastic fluid is follows: (7.39)μnn={μB1−G|∂Φ/∂x|,|∂Φ/∂x|>G∞,|∂Φ/∂x|≤G For a particular saturation of the Newtonian phase, Sne, the corresponding flow potential gradient for the non-Newtonian phase...
Although, an analytical solution of the governing equation under the laminar flow regime was also feasible (such an equation is also provided in this paper), the ANN model is applicable under both laminar and turbulent flow conditions where the analytical approach will have major limitations (...