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

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

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 Determination of the dynamic load of the carrying structure of the hopper wagon with the actual dimensions of structural elements

2021 ◽  
Vol 1 (1(57)) ◽  
pp. 6-11
Author(s):  
Oleksij Fomin ◽  
Alyona Lovska ◽  
Pavel Skok ◽  
Ivan Rogovskii
Keyword(s):  
Mathematical Modeling ◽  
Dynamic Loading ◽  
Software Package ◽  
Degrees Of Freedom ◽  
Field Studies ◽  
Middle Part ◽  
Structural Elements ◽  
Supporting Structure ◽  
Mathcad Software

The object of research is the supporting structure of the pellet wagon with the actual dimensions of the supporting elements. One of the most problematic areas is the determination of the indicators of dynamics and strength of the supporting structure of the hopper wagon with the actual dimensions of the structural elements. A study of the dynamic loading of the supporting structure of the hopper wagon was carried out. At the same time, the actual dimensions of the structural elements were determined by means of field studies. Mathematical modeling of the dynamic loading of the load-carrying structure of a hopper wagon with the actual dimensions of structural elements was carried out by means of mathematical modeling. The studies were carried out in a flat coordinate system. The presence of three degrees of freedom of the supporting structure of the hopper wagon was taken into account: vibrations of twitching, bouncing and galloping. Differential equations were solved in the MathCad software package. In doing so, they were reduced to the Cauchy normal form, and then integrated using the Runge-Kutta method. It was found that the maximum value of the acceleration acting on the supporting structure of the hopper wagon is 38.5 m/s2, which is 2.7% higher than the acceleration of the supporting structure with nominal dimensions. Computer simulation of the dynamic loading of the supporting structure of the hopper wagon was carried out. The calculation was carried out using the finite element method in the SolidWorks Simulation (CosmosWorks) software package. It was found that the maximum accelerations are concentrated in the middle part of the supporting structure of the hopper wagon and amount to 36.2 m/s2. The F-criterion was used to verify the developed model. The calculations showed that the calculated value of the criterion is Fc = 1.09 and is less than the table value Ft = 3.29. The adequacy hypothesis is not rejected. The natural frequencies and vibration modes of the hopper wagon supporting structure were determined. It has been established that the values of natural vibration frequencies of the hopper wagon bearing structure with the actual dimensions of the structural elements are within the permissible limits. The research will contribute to the creation of relevant developments to extend the service life of wagons that have exhausted their standard resource, as well as to increase the efficiency of railway transport operation.

Mathematical Modeling in Chemical Engineering

2014 ◽  
Author(s):  
Anders Rasmuson ◽  
Bengt Andersson ◽  
Louise Olsson ◽  
Ronnie Andersson
Keyword(s):  
Mathematical Modeling ◽  
Chemical Engineering

scholarly journals Improving the design of the subgrade in the construction of culverts

2019 ◽  
Vol 6 (4) ◽  
Author(s):  
Aleksey Kamenchukov ◽  
Andrey Lopashuk ◽  
Victor Lopashuk ◽  
Victor Svetenok ◽  
Ilya Ukrainskiy
Keyword(s):  
Mathematical Modeling ◽  
High Efficiency ◽  
Drainage System ◽  
Protective Layer ◽  
Field Studies ◽  
The Body ◽  
Road Surface ◽  
The Road ◽  
The Stability

The article considers the issues of assessing and improving the quality and reliability of culverts and the road drainage system on roads with unpaved and transitional types of pavement. The authors performed a number of field studies aimed at assessing the operational condition of culverts and pavement above them on roads of territorial significance in the Khabarovsk Territory. The issues of the influence of the quality of culverts on the condition of the road surface are examined in detail. Systematized and analyzed data on the influence of the presence (absence) of defects in the body of culverts on the quality of the road surface. The data are ranked by the diameter of the pipe hole and the size of the protective layer, and the degree of influence of the quality of the culvert on the quality of the road surface depending on the thickness of the protective layer is determined. The relationship between defects in culverts and the quality of the road surface is established. Based on the result of mathematical modeling, a nomogram of the dependence of the state of the coating over the culvert on the thickness of the backfill over the pipe and the condition of the culvert is constructed. In a specialized software package, by the finite element method, an assessment of the stress-strain state and structural stability of the subgrade with a culvert under the influence of the normative static load on the structure is carried out. The results of mathematical modeling showed that there is a significant decrease in the stability of the structure, especially with low embankments. To increase the stability and reduce the deformation of the structure, the authors proposed a method of strengthening the embankment of the subgrade in places of the device, which on the basis of mathematical modeling showed its high efficiency.

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