scholarly journals Mathematical modelling of experimental data for crystallization inhibitors

2017 ◽  
Vol 48 ◽  
pp. 21-38 ◽  
Author(s):  
M.P. Bracciale ◽  
G. Bretti ◽  
A. Broggi ◽  
M. Ceseri ◽  
A. Marrocchi ◽  
...  
Keyword(s):  
Experimental Data ◽  
Mathematical Modelling ◽  
Crystallization Inhibitors

Mathematical Modelling of Materials Behavior Under Creep Conditions

2001 ◽  
Vol 54 (2) ◽  
pp. 107-132 ◽  
Author(s):  
J. Betten
Keyword(s):  
Experimental Data ◽  
Mathematical Modelling ◽  
Mechanical Behavior ◽  
Review Article ◽  
Material Behavior ◽  
Experimental Investigations ◽  
Rational Basis ◽  
Complex Material ◽  
Interpolation Methods ◽  
Materials Behavior

This article will provide a short survey of some recent advances in the mathematical modelling of materials behavior under creep conditions. The mechanical behavior of anisotropic solids requires a suitable mathematical modelling. The properties of tensor functions with several argument tensors constitute a rational basis for a consistent mathematical modelling of complex material behavior. This article presents certain principles, methods, and recent successful applications of tensor functions in creep mechanics. The rules for specifying irreducible sets of tensor invariants and tensor generators for material tensors of rank two and four are also discussed. Furthermore, it is very important that the scalar coefficients in constitutive and evolutional equations are determined as functions of the integrity basis and experimental data. It is explained in detail that these coefficients can be determined by using tensorial interpolation methods. Some examples for practical use are discussed. Finally, we have carried out our own experiments to examine the validity of the mathematical modelling. Furthermore, an overview of some important experimental investigations in creep mechanics of other scientists has been provided. There are 243 references cited in this review article.

scholarly journals Mathematical Modelling of Some Nutrient Losses during Heat Treatment of Stewed Apples

2009 ◽  
Vol 27 (Special Issue 1) ◽  
pp. S23-S26
Author(s):  
F. Courtois ◽  
L. Vedrenne ◽  
S. Georgé
Keyword(s):  
Experimental Data ◽  
Heat Treatment ◽  
Vitamin C ◽  
Mathematical Modelling ◽  
Transformation Process ◽  
Nutrient Losses ◽  
Single Model ◽  
First Order ◽  
The Core

Vitamin C (later noted VITC) and polyphenols (later noted PP) were regarded as main nutritional markers in the transformation process of stewed apples after an <I>in situ</I> measurement campaign at two leading French industrials on that matter. Experiments on pilots with the CTCPA of Avignon made it possible to create a small experimental data base whose treatment is the core of this article. The objective of this work is to check if the experimental data collected at the CTCPA facility can be represented by a single model of 2 separate first order reactions, with or without Arrhenius, under varying processing temperatures.

Effectiveness of Catalyst Extrudate of Tetralobed Cross Section Under Conditions of Influence of Internal Diffusion

1997 ◽  
Vol 62 (2) ◽  
pp. 223-237
Author(s):  
Jan Martinec ◽  
Jiří Hanika
Keyword(s):  
Experimental Data ◽  
Mathematical Modelling ◽  
Cross Section ◽  
Qualitative Agreement ◽  
Catalyst Particle ◽  
Order Reaction ◽  
Internal Diffusion ◽  
Dehydration Reaction ◽  
Isothermal Conditions

The results are summarized of mathematical modelling of the effect of internal diffusion on the rate of m-th order reaction taking place under non-isothermal conditions in the catalyst particle with tetralobed cross section. The effectiveness of the tetralobe-shaped extrudate is compared with that of cylindrical extrudate. The results obtained on the basis of mathematical modelling are confronted with the experimental data obtained on studying the dehydration reaction of cyclohexanol on cylindrical and tetralobed extrudates of gama-alumina under the conditions of influence of internal diffusion. The experimental data are in a qualitative agreement with the theoretical ones and confirm the higher effectiveness of shaped catalyst in comparison with the cylindrical extrudate catalyst.

Solubility of celecoxib in carbitol + water mixtures at various temperatures: experimental data and mathematical modelling

2019 ◽  
Vol 57 (6) ◽  
pp. 755-767 ◽  
Author(s):  
Fatemeh Norouzi ◽  
Abolghasem Jouyban ◽  
Fleming Martinez ◽  
Mohammad Barzegar-Jalali ◽  
Elaheh Rahimpour
Keyword(s):  
Experimental Data ◽  
Mathematical Modelling

scholarly journals Mathematical Modelling of Electric Discharge Machining of Al (6351)-SiC-B4C Hybrid Composite

2020 ◽  
Vol 8 (4S4) ◽  
pp. 163-166
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Surface Roughness ◽  
Mathematical Modelling ◽  
Electric Discharge ◽  
Electrode Wear ◽  
Electric Discharge Machining ◽  
Pulse On Time ◽  
The Mathematical Model ◽  
Time Pulse

The Electric Discharge Machining (EDM) has emerged as one of the major machining method for the machining of hard-to- machine materials and composites. This paper aims at creating a mathematical model for the machining of the Al(6351)-SiC-B4C composites based on the experimental data and compare the same to identify the level of errors between the mathematical model and the experimental results. This paper was aimed as an attempt to develop a mathematical model for the output parameters viz. Electrode Wear ratio and Surface roughness based on the input parameters viz. current, pulse-on-time, pulse duty-factor and gap voltage.

Perspectives on deriving mathematical models in pulp and paper science

BioResources ◽  
2020 ◽  
Vol 15 (4) ◽  
pp. 7319-7329
Author(s):  
Richard Kerekes ◽  
David McDonald ◽  
Joe Zhao
Keyword(s):  
Experimental Data ◽  
Mathematical Modelling ◽  
Mathematical Models ◽  
Experimental Work ◽  
Pulp And Paper ◽  
Clear Picture ◽  
Related Research ◽  
Classic Approach ◽  
Key Variables

Mathematical modelling is a powerful tool in science. Causal mathematical models based on a clear picture of how key variables interact enable a deeper understanding of a given situation and provide reliable predictions. This is a classic approach in science. Unfortunately, this approach is declining in pulp and paper-related research in favour of simply reporting experimental data. The lack of a framework provided by a model diminishes the value of much experimental work. Therefore, the increased use of mathematical models is encouraged, and this approach is illustrated via several practical examples from our work.

Sign in / Sign up

Export Citation Format

Share Document