Bingham flow

The Buckingham equation for Bingham flow in the laminar region is... 

Bingham flow is represented by Figure 6.5(b) in terms of Reynolds and Hedstrom numbers. 

Theoretical relations for generalized Bingham flow [Eq. (6.47)] have been devised by Torrance [S. Afr. Mech. Eng. 13, 89 (1963)]. They are... 

Many colloidal systems exhibit so-called Bingham flow, which is characterised by the equation... 

Parameters of the Bingham Model from Measurements of Pressure Drops in a Line 107 Pressure Drop in Power-Law and Bingham Flow 110 Adiabatic and Isothermal Flow of a Gas in a Pipeline Isothermal Flow of a Nonideal Gas 113 Pressure Drop and Void Fraction in Liquid-Gas Flow Pressure Drop in Flow of Nitrogen and Powdered Coal 120... 

Calculation of the two Bingham-flow fractions (Fig. 8) is based on Bingham s material law (equation 8) and the law of momentum (equation 2). Substituting equation 2 into equation 8 and transforming yields ... 

Examples of non-Newtonian behavior are shown in Figure 13.3. Shear-thickening (dilatant) is observed when the resistance to deformation increases with the shear rate, whereas the opposite is true for a system undergoing shear-thinning pseudoplastic). In some cases, a minimum critical value of stress, x, is needed for flow to occur Bingham flow). This situation is characteristic of fluids where a structured arrangement of the molecules exists, and therefore a critical x is required to break down the structure. 

For a pseudoplastic slurry or power law fluid, the shear stress is expressed by Equation 3-43. By analogy with the method developed for a Bingham flow in a tube, the following equation is expressed ... 

The plastic flow is defined as the flow which takes place in the region of stress higher than the yield stress (Ty. Such a flow is also called Bingham flow. The curve does not pass through the origin of the coordinate system, as shown in Figure 12-5. Plastic flow is... 

---