scholarly journals Mathematical Modeling in Chemical Engineering: A Tool to Analyse Complex Systems

10.5772/24806 ◽  
2011 ◽  
Author(s):  
Anselmo Buso ◽  
Monica Giomo
Keyword(s):  
Mathematical Modeling ◽  
Complex Systems ◽  
Chemical Engineering

scholarly journals A Comparison between Analytical and Numerical Solution of the Krogh's Tissue Cylinder Model for Human Bone Marrow

2010 ◽  
pp. 1-6 ◽  
Author(s):  
MA Islam
Keyword(s):  
Mathematical Modeling ◽  
Fluid Dynamics ◽  
Oxygen Transport ◽  
Chemical Engineering ◽  
Computer Software ◽  
Numerical Approach ◽  
Transport Models ◽  
Numerical Result ◽  
Cylinder Model ◽  
Computational Fluid Dynamics Cfd

The Danish physiologist, August Krogh is the founder of the theory of oxygen transport to tissues. It washis famous tissue cylinder model developed for skeletal muscle, together with his colleague mathematicianErlang that laid down the foundation of the mathematical modeling of oxygen transport to tissues. Here ananalytical solution of the Krogh’s model has been presented based on justifiable assumptions in order tovalidate the numerical approach used to solve more realistic oxygen transport models. The numericalsolution of Krogh’s model is performed using computational fluid dynamics (CFD) software CFX 4.4.From the analytical solution, it is demonstrated that variation from the numerical result is less than 0.2%which in turn justifies the use of computer software in developing mathematical model for suchphysiological systems like BM.Journal of Chemical Engineering Vol.ChE 24 2006 1-6

Mathematical modeling in chemical engineering: from lab-scale to field studies

2010 ◽  
Author(s):  
S. Pushpavanam ◽  
Swapan Paruya ◽  
Samarjit Kar ◽  
Suchismita Roy
Keyword(s):  
Mathematical Modeling ◽  
Chemical Engineering ◽  
Field Studies

Validation, Holism, and the Limits of Analysis

2019 ◽  
pp. 174-210
Author(s):  
Johannes Lenhard
Keyword(s):  
Mathematical Modeling ◽  
Complex Systems ◽  
Simulation Modeling ◽  
Modular Design ◽  
Complex Interactions ◽  
New Type

This chapter has two parts. The first part boils down to the thesis that simulations simply extend or amplify the validation problem, because they include steps that are not part of traditional mathematical modeling—but they arguably do not pose a conceptually new type of validation problem. The second part deals with the problem of holism that emerges when complex interactions together with a modular design govern how the model behaves. Simulations then gain a particular twist with dramatic consequences. Modularity is the very basis for handling complex systems, but it erodes for reasons inherent to simulation modeling. In a way, simulations undermine their own working basis, and as a consequence, the problem of holism emerges to reveal the limits of analysis.

scholarly journals Editorial: Special Issue Contributed from CHEMECA 2008-Mathematical Modeling

2009 ◽  
Vol 4 (3) ◽  
Author(s):  
Mark I Nelson ◽  
Brent Young ◽  
Harvinder S Sidhu
Keyword(s):  
Mathematical Modeling ◽  
Process Modeling ◽  
Chemical Engineering ◽  
Special Issue ◽  
Chemical Product ◽  
Editorial Special Issue ◽  
Product And Process ◽  
Engineering Conference

The papers in this issue of Chemical Product and Process Modeling are substantially those that arose from special sessions on “mathematical modeling" at the 36th Australasian Chemical Engineering Conference (held between 28th September to 1st October 2008, in Newcastle, Australia). The papers in this special issue are available at: www.bepress.com/cppm/vol4/iss3.

scholarly journals MATHEMATICAL MODELING OF WATER SUPPLY AND WATER DISPOSAL SYSTEMS

2020 ◽  
Vol 10 (2) ◽  
pp. 36-42
Author(s):  
Svetlana Yu. TEPLYKH ◽  
Dmitriy S. BOCHKOV ◽  
Mariya V. VESELOVA
Keyword(s):  
Mathematical Modeling ◽  
Complex Systems ◽  
Water Supply ◽  
Technological Processes ◽  
Diffi Cult ◽  
Pipeline Networks ◽  
Water Disposal ◽  
Sanitation Systems ◽  
Water Supply And Sanitation

The paper is devoted to the study of the features of mathematical modeling of water supply and sanitation systems. These systems are complex systems consisting of branched pipeline networks, structures, installations and equipment. In this case, the work of all elements must be linked to each other. This task is very diffi cult due to the presence of a large number of parameters and technological processes occurring in water supply and sanitation systems. Therefore, in practice, diff erent types of modeling, including mathematical, are used to solve these problems.

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