Mathematical Modelling of Flow through Pleated Cartridge Filters

2006 ◽  
pp. 298-302 ◽  
Author(s):  
V. Nassehi ◽  
A.N. Waghode ◽  
N.S. Hanspal ◽  
R.J. Wakeman
Keyword(s):  
Mathematical Modelling ◽  
Flow Through

scholarly journals Finding a Fair Heat Settlement Model

2021 ◽  
Author(s):  
Kristian Kiradjiev ◽  
Piotr Morawiecki ◽  
Robert Pisarczyk
Keyword(s):  
Heat Flow ◽  
Mathematical Modelling ◽  
Optimal Strategies ◽  
Apartment Buildings ◽  
External Conditions ◽  
Flow Through ◽  
Statistical Approaches ◽  
Building Walls ◽  
Settlement Schemes ◽  
Account Heat

In this report, we investigate optimal strategies for fair heat settlement schemes in apartment buildings heated by externally powered radiators and pipes. We use mathematical modelling to predict the distribution of heat among apartments taking into account heat flow through the building walls and external conditions. We use both deterministic and statistical approaches.

Mathematical Modelling of Flow Through Porous Media

1996 ◽  
Author(s):  
Alain P. Bourgeat ◽  
Claude Carasso ◽  
Stephan Luckhaus ◽  
Andro Mikelić
Keyword(s):  
Porous Media ◽  
Mathematical Modelling ◽  
Flow Through Porous Media ◽  
Flow Through

scholarly journals 2D Mathematical Modelling of Overlimiting Transfer Enhanced by Electroconvection in Flow-Through Electrodialysis Membrane Cells in Galvanodynamic Mode

Membranes ◽  
2019 ◽  
Vol 9 (3) ◽  
pp. 39 ◽  
Author(s):  
Aminat Uzdenova
Keyword(s):  
Mathematical Modelling ◽  
Current Density ◽  
Current Density Distribution ◽  
Forced Flow ◽  
Navier Stokes ◽  
Average Current Density ◽  
Extended Space ◽  
Current Voltage ◽  
Electrodialysis Cell ◽  
Flow Through

Flow-through electrodialysis membrane cells are widely used in water purification and the processing of agricultural products (milk, wine, etc.). In the research and operating practice of such systems, a significant place is occupied by a galvanodynamic (or galvanostatic) mode. 2D mathematical modelling of ion transfer in the galvanodynamic mode requires solving the problem of setting the average current density equal to a certain value, while the current density distribution in the system is uneven. This article develops a 2D mathematical model of the overlimiting transfer enhanced by electroconvection in a flow-through electrodialysis cell in the galvanodynamic mode. The model is based on the system of Navier–Stokes, Nernst–Planck, Poisson equations and equations for the electric current stream function. To set the electric mode we use a boundary condition, relating the electric field strength and current density. This approach allows us to describe the formation of the extended space charge region and development of electroconvection at overlimiting currents. For the first time, chronopotentiograms and current–voltage characteristics of the membrane systems are calculated for the galvanodynamic mode taking into account the forced flow and development of electroconvection. The behaviors of the calculated chronopotentiograms and current–voltage characteristic coincide qualitatively with experimental data. The effects of the electrolyte concentration, forced flow velocity and channel size on the mass transfer at overlimiting currents are estimated.

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