Mathematical Modeling of Cross-Flow, Solid State Electrochemical Reactors

1984 ◽  
pp. 171-196 ◽  
Author(s):  
P. G. DEBENEDETTI ◽  
C. G. VAYENAS ◽  
I. YENTEKAKIS ◽  
L. L. HEGEDUS
Keyword(s):  
Mathematical Modeling ◽  
Solid State ◽  
Cross Flow ◽  
Electrochemical Reactors

A Novel Cross‐Flow Design for Solid‐State Electrochemical Reactors

1986 ◽  
Vol 133 (3) ◽  
pp. 522-525 ◽  
Author(s):  
J. N. Michaels ◽  
C. G. Vayenas ◽  
L. L. Hegedus
Keyword(s):  
Solid State ◽  
Cross Flow ◽  
Electrochemical Reactors

Cross-flow, solid-state electrochemical reactors: a steady state analysis

1985 ◽  
Vol 24 (3) ◽  
pp. 316-324 ◽  
Author(s):  
Costas G. Vayenas ◽  
Pablo G. Debenedetti ◽  
Iannis Yentekakis ◽  
L. Louis Hegedus
Keyword(s):  
Steady State ◽  
Solid State ◽  
Cross Flow ◽  
Electrochemical Reactors ◽  
Steady State Analysis ◽  
State Analysis

Technological Features of the Liquid-Solid State of the Boundary Layer in the Processes of Bimetallic Products

2022 ◽  
Vol 1049 ◽  
pp. 53-61
Author(s):  
Valeriy Lykhoshva ◽  
Dmitry Glushkov ◽  
Elena Reintal ◽  
Valeriy V. Savin ◽  
Ludmila Alexeyevna Savina ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Experimental Data ◽  
Boundary Layer ◽  
Solid State ◽  
Liquid Phase ◽  
Contact Zone ◽  
Thermal Field ◽  
Thermal State ◽  
Existence Time ◽  
Modeling Data

The hydrodynamic and thermal state in the contact zone of the layers of a bimetallic product obtained by pouring liquid iron onto a solid steel billet, which changes in time and is responsible for the strength of the diffusion joint and the geometric parameters of the transition layer, has been investigated. Simplified analytical dependences, mathematical modeling data and experimental results of the liquid phase existence time in the contact zone based on research of the melt velocities during pouring and changes in the thermal field are presented. It is shown that simplified calculations data coincide in order and are close in values ​​to the calculations of mathematical modeling and experimental data, which makes it possible to use them for preliminary rough estimates by technologists and metallurgists.

Flow Velocity Dependence of Damping in Tube Arrays Subjected to Liquid Cross-Flow

1981 ◽  
Vol 103 (2) ◽  
pp. 130-135 ◽  
Author(s):  
S. S. Chen ◽  
J. A. Jendrzejczyk
Keyword(s):  
Mathematical Modeling ◽  
Flow Velocity ◽  
Vortex Shedding ◽  
Cross Flow ◽  
Elastic Instability ◽  
Velocity Dependence ◽  
Tube Arrays ◽  
Fluid Damping ◽  
Lift And Drag

Experiments are conducted to determine the damping for a tube in tube arrays subjected to liquid cross-flow; damping factors in the lift and drag directions are measured for in-line and staggered arrays. It is found that: 1) fluid damping is not a constant, but a function of flow velocity; 2) damping factors in the lift and drag directions are different; 3) fluid damping depends on the tube location in an array; 4) flow velocity-dependent damping is coupled with vortex shedding process and fluid-elastic instability; and 5) flow velocity-dependent damping may be negative. This study demonstrates that flow velocity-dependent damping is important. These characteristics should be properly taken into account in the mathematical modeling of tube arrays subjected to cross-flow.

Mathematical modeling of Kluyveromyces marxianus growth in solid-state fermentation using a packed-bed bioreactor

2009 ◽  
Vol 37 (4) ◽  
pp. 391-400 ◽  
Author(s):  
Marcio A. Mazutti ◽  
Giovani Zabot ◽  
Gabriela Boni ◽  
Aline Skovronski ◽  
Débora de Oliveira ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Solid State ◽  
Solid State Fermentation ◽  
Kluyveromyces Marxianus ◽  
Packed Bed ◽  
Packed Bed Bioreactor
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