Kinetics of mixing in continuous glass melting tanks_GT_1966_002_011
It is shown that the parameter that measures the local mixing rate in a continuous luminar flow system is (D/ɓ^{2}U_{x}) where D is the appropriate chemical diffusion coefficient, ɓ, is the striation thickness, and U_{x}, is the throughput velocity. An analysis of the effect of flow on striation thickness shows that
dln ɓ = dU_{1}
dt d1
where t is time and U_{1} is the velocity component in the direction of a striation an incremental length of which is termed dl. Schematic diagrams have been constructed which illustrate how shear, reduction of crosssectional area, and rotation affect the thickness of variously oriented striations. The flow systems and sources of heterogeneity that occur in glass tanks are enumerated. Finally, a qualitative discussion of mixing in glass tanks making use of the analysis of local mixing is presented.
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