High Performance Calculations for Simulation of Filtration Mass Transfer in Microporous Particles Feedback Considered

• Дата: 2020
• Автори: Петрик, Михайло, Михалик, Дмитро, Гоянюк, Іван
• Формат: Стаття
• Мова: Ukrainian
• Опубліковано: Кам'янець-Подільський національний університет імені Івана Огієнка 2020
• Онлайн доступ: http://mcm-math.kpnu.edu.ua/article/view/224954
• Назва журналу: Mathematical and computer modelling. Series: Physical and mathematical sciences

The problem of mass transfer during the filtration transfert of liquid containing biological particles is presented in one-dimensional formulation. The liquid flowing during pressing is conceptualised as a double-porosity flowing in two volumes: 1) in a porous medium of sliced particles and 2) in the extra particle network. Interporosity flowing occurs between these two porous volumes. The mathematical model consists the system of two differential equations of consolidation with feedback influences ant initial and boundary conditions. The high performance analytical solution of the problem is found by application of integral Laplace and Fourier transformations. The numerical analysis of problem for some values of process parameters is evaluated. Filtration mass transfer processes are important technological operations in the separation of mixtures, extraction of liquids from various biological materials in many industries. Therefore, the study of the methodology of mathematical modeling using the methods of integral Fourier and Laplace transforms and the construction of high-speed and accurate analytical solution will implement high-performance computations with efficient parallelization of the computational process for multicore computers, which is very necessary in processing and chemistry. other industries. Thus, it is to ensure the implementation of effective procedures for testing the model for adequacy and construction of spatially distributed and time-varying distributions of the parameters of the studied processes.