- Solution Strategy for Mass Transfer Problems

2016 ◽  
pp. 263-270
Keyword(s):  
Mass Transfer ◽  
Solution Strategy ◽  
Transfer Problems

scholarly journals A general real-time formulation for multi-rate mass transfer problems

2009 ◽  
Vol 6 (2) ◽  
pp. 2415-2449 ◽  
Author(s):  
O. Silva ◽  
J. Carrera ◽  
S. Kumar ◽  
M. Dentz ◽  
A. Alcolea ◽  
...  
Keyword(s):  
Mass Transfer ◽  
River Flow ◽  
Breakthrough Curves ◽  
Flow And Transport ◽  
Multiple Processes ◽  
Programming Effort ◽  
Non Local ◽  
Time Formulation ◽  
Transfer Problems ◽  
Non Equilibrium

Abstract. Many flow and transport phenomena, ranging from delayed storage observed in pumping tests to tailing in river or aquifer tracer breakthrough curves, display non-equilibrium behavior. Usually, they are modeled by non-local in time formulations, such as multi-porosity, multiple processes non equilibrium, continuous time random walk, memory functions, integro-differential equations, fractional derivatives or multi-rate mass transfer (MRMT), among others. We develop a MRMT algorithm that can be used to represent all these formulations. The method is accurate, computationally inexpensive and easy to implement in groundwater or river flow and transport codes. In fact, we present a module that can be linked to existing programs with minimal programming effort. Its accuracy is verified by comparison with existing solutions.

Math Modeling of Vacuum Conductive Timber Drying

2014 ◽  
Vol 1040 ◽  
pp. 478-483
Author(s):  
M. Goreshnev ◽  
E. Litvishko
Keyword(s):  
Mathematical Modeling ◽  
Mass Transfer ◽  
Mathematical Models ◽  
Heat And Mass Transfer ◽  
Block Diagram ◽  
Calculated Data ◽  
Math Modeling ◽  
Advantages And Disadvantages ◽  
Transfer Problems

The article is devoted to the mathematical modeling of vacuum conductive timber drying. Analysis of known mathematical models allowed revealing their advantages and disadvantages. The modeling block diagram based on the drying periods is proposed. Lykov’s equations have been selected to solve heat and mass transfer problems. The comparison of experimental and calculated data has been conducted.

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