Number Bingham

Bingham number Nm N - T°° Moo / r0 = yield stress = limiting viscosity (Yield/viscous) stresses Flow of Bingham plastics... 

This is determined by replacing rw for the Newtonian fluid in Eq. (7-39) with t0 + p-ceYw and using the approximation yw = V/D. The ratio 7VHe//VRe = Dto/Vp, is also called the Bingham number (7VBi). Darby and Forsyth (1992) showed experimentally that mass transfer in Newtonian and non-... 

With regard to the drag on a sphere moving in a Bingham plastic medium, the drag coefficient (CD) must be a function of the Reynolds number as well as of either the Hedstrom number or the Bingham number (7V Si = /Vne//VRe = t0d/fi V). One approach is to reconsider the Reynolds number from the perspective of the ratio of inertial to viscous momentum flux. For a Newtonian fluid in a tube, this is equivalent to... 

From dimensional considerations, the drag coefficient is a function of the Reynolds number for the flow relative to the particle, the exponent, nm, and the so-called Bingham number Bi which is proportional to the ratio of the yield stress to the viscous stress attributable to the settling of the sphere. Thus ... 

Bingham number Bm V- M-V yield stress viscous stress Flow of Bingham plastics = yield number, Y... 

Archimedes number Bingham number Bingham Reynolds number Blake number Bond number Capillary number Cauchy number Cavitation number Dean number Deborah number Drag coefficient Elasticity number Euler number Fanning friction factor Froude number Densometric Froude number Hedstrom number Hodgson number Mach number Newton number Ohnesorge number Peclet number Pipeline parameter... 

In the case of a spherical bubble in a translational flow of a viscoplastic fluid with low Bingham numbers, one can use the following formula for the mean Sherwood number [37] ... 

Thus, the greater the Bingham number, the higher is the Reynolds number up to which the creeping flow conditions apply for spheres moving in Bingham plastic fluids. 

A final point of importance, which has already been implied but which should be stated more explicitly, is the inability to scale at both constant Weis-senberg number (or Bingham number) and constant Brinkman number, i.e., at constant... 

Fig. 12 Drag correction factor as a function of Bingham number.

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