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A model for the evolution of sedimentation beds in the dynamic of a pipelined non-Newtonian fluid

✍ Scribed by E. De Angelis; A. Mancini


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
952 KB
Volume
25
Category
Article
ISSN
0895-7177

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✦ Synopsis


this work, the dynamic of particles in a non-Newtonian (Bingham) fluid is considered, developing a mathematical model (one nonlinear, free boundary, first-order PDE) for the sedimentation of particles in a cylindrical, axis symmetric flow. We proved existence and uniqueness (locally in some circumstances) of the solutions, and we tested numerically the fitting of the model with the real physical problem.


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## Abstract **Summary:** Non‐Newtonian fluid behavior has significant influence on quantities in chemical engineering like power input, mixing time, heat transfer etc. In the laminar flow region, the concept of effective viscosity by Metzner and Otto is well established. In the transition region be