Nonlinear Mathematical Model of Two-Level Transfer of the "Filtration-Consolidation" Type

被引：1

作者：

Petryk, M. R. ^{[1
]}

Mykhalyk, D. M. ^{[1
]}

机构：

[1] Ternopol Ivan Pulyui State Tech Univ, Ternopol, Ukraine

来源：

JOURNAL OF AUTOMATION AND INFORMATION SCIENCES | 2010年 / 42卷 / 03期

关键词：

nonlinear mathematical model; mass transfer; filtration-consolidation; medium of moisture saturated particles; microporous structure; numerical modeling; pressures; micropores of interparticle space; micropores of particles; profiles of dependencies on time; consolidation factors; position coordinates;

D O I：

10.1615/JAutomatInfScien.v42.i3.50

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We construct nonlinear mathematical model of mass transfer of "filtration-consolidation" type in medium of moisture saturated particles of microporous structure with application of linearization methods and the Fourier and Laplace integral transforms. Numerical modeling is performed and distribution of pressures in micropores of interparticle space and in micropores of particles, as well as profiles of dependencies of consolidation factors on time and position coordinates.

引用

页码：58 / 70

页数：13

共 50 条

[21] Nonlinear Schrodinger equation and two-level atoms
Czachor, M
PHYSICAL REVIEW A, 1996, 53 (03): : 1310 - 1315
[22] Mathematical Two-Level Models of Electromagnetic Thermoelasticity of Piezocomposites
Pankov, A. A.
MECHANICS, RESOURCE AND DIAGNOSTICS OF MATERIALS AND STRUCTURES (MRDMS-2018), 2018, 2053
[23] Adiabatic Shortcut in Nonlinear Two-Level system
J. H. Liu
Y. N. Zhang
Y. Liu
H. D. Liu
International Journal of Theoretical Physics, 2020, 59 : 507 - 513
[24] Nonlinear heat equation and two-level diffusion
Wojnar, R
REPORTS ON MATHEMATICAL PHYSICS, 2002, 49 (2-3) : 415 - 425
[25] General nonlinear mathematical model for soil consolidation problems
Politecnico di Torino, Torino, Italy
Int J Eng Sci, 10-11 (1045-1063):
[26] MATHEMATICAL MODELING OF FILTRATION CONSOLIDATION WITH SALT TRANSFER IN A DOUBLE-RELAXATION SYSTEM
Bulavatskii, V. M.
CYBERNETICS AND SYSTEMS ANALYSIS, 2008, 44 (01) : 91 - 99
[27] A general nonlinear mathematical model for soil consolidation problems
Lancellotta, R
Preziosi, L
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1997, 35 (10-11) : 1045 - 1063
[28] Bi-objective mathematical model for optimal sequencing of two-level factorial designs
Pureza, V. M. M.
Oprime, P. C.
Costa, A. F. B.
Morales, D.
BRAZILIAN JOURNAL OF PROBABILITY AND STATISTICS, 2020, 34 (04) : 712 - 727
[29] Nonlinear prediction based on a two-level Markovian image model and a comparison analysis
Bezruk, Andrei
International Journal of Imaging Systems and Technology, 1991, 3 (03) : 201 - 212
[30] Two-Level Nonlinear Model Predictive Control for Lean NOx Trap Regenerations
Hsieh, Ming-Feng
Wang, Junmin
Canova, Marcello
JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2010, 132 (04): : 1 - 13

← 1 2 3 4 5 →