Models for coupled kinetics and heat transfer in processing polymeric materials with applications to biochemical engineering

Melnik, Roderick V. N.

doi:10.1088/0965-0393/10/3/307

Cited by 19 publications

(16 citation statements)

References 32 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Other research has only dealt with cases that simplified the process by assuming that a polymer matrix is composed of either an infinitely long chain or monodisperse chains. [1][2][3][4][5][6] Furthermore, it was assumed that constituent chains or bonds had an equal probability of breakdown and that they are equally accessible by degrading agent(s). Such assumptions are a gross over-simplification that disregards the spatial and structural constraints in a polymer matrix.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modelling and Computer Simulation of Linear Polymer Degradation: Simple Scissions

Bose

Git

2004

Macro Theory & Simulations

View full text Add to dashboard Cite

Summary: Degradation of a polymer in a reactor by the degrading agent(s) follows a distinct pattern, primarily influenced by structural integrity and reactor environment. This distinct pattern is recorded in the changes in the evolved molecular weight distribution (MWD) or polymer chain length distribution (PCLD) curve characteristics from the initial intact state. Modern size exclusion chromatography (SEC) is the best laboratory‐based method that can clearly provide these plots in the form of chromatogram; however, detailed molecular information is not available. The nature of molecular destruction can be well‐characterised if the distinct MWD shift patterns can be simulated to fingerprint the different chain scission dynamics. This is investigated by our current research using the power of computer simulation techniques to gain insight into the polymer ageing processes. One such technique for studying simple decay processes is presented here, and the results are compared with experimental findings. The concept of a binary tree scission model is introduced to show chain rupture as a sequence of probabilistic events and as a non‐linear function of time. Two new mathematical algorithms, an iterative Monte Carlo structured probability scheme and a semi‐iterative algebraic exact statistical formulation method, are investigated to implement this model and simulate the evolution of resultant temporal MW distribution. The latter, an innovative approach to mathematical modelling, has the potential to generate a statistically perfect instant MWD decay curve. A statistical comparison of the product yield is presented from the data obtained using a wide variety of simulated scission regimes to determine the sources of variability.Simulated MWD lateral shift for percent cut scission model showing deviation from the initial MWD (red) over degradation time zones Tj(0 ≥ j ≤ 9) with bimodal and curve broadening effect due to accumulation of varied percent cut range 5–30%.imageSimulated MWD lateral shift for percent cut scission model showing deviation from the initial MWD (red) over degradation time zones Tj(0 ≥ j ≤ 9) with bimodal and curve broadening effect due to accumulation of varied percent cut range 5–30%.

show abstract

Section: Introductionmentioning

confidence: 99%

Mathematical Modelling and Computer Simulation of Linear Polymer Degradation: Simple Scissions

Bose

Git

2004

Macro Theory & Simulations

View full text Add to dashboard Cite

show abstract

“…3) and was averaged on the used temperature interval. The principal types of the kinetic equations are listed in [20]. Among these types the Kamal & Sourour equation (below simply named as Kamal)…”

Section: Identification Of Cure Kinetics and Prepreg Propertiesmentioning

confidence: 99%

FEM model-based optimal control synthesis for curing a large composite structure with CAD imported geometry

Shevtsov

Tarasov²,

Axenov³

et al. 2017

MATEC Web Conf.

View full text Add to dashboard Cite

Abstract. The paper studies a problem of optimal control synthesis for curing a large composite structure using open die moulding in an autoclave. The necessary control should eliminate early hard skin formation, emergence of resin-rich or resin-dry areas, insufficient consolidation, and uneven cure. This purpose is achieved through providing uniform distribution of degree of cure and temperature within the cured part volume. The used approach is illustrated on the example of the large CFRP aircraft panel manufactured by means of two-stage curing cycle. The forward problem combines the heat transfer and autocatalytic kinetic equations, which are linked by the specific heat capacity, thermal conductivity coefficient and by the exothermal heat source that depend on the prepreg's degree of cure. The control synthesis problem is formulated as a multi-objective optimization problem where minimized objectives are deviations of temperature and degree of cure within a cured part, considering constraints imposed by thermal-kinetic properties of prepreg and manufacturing requirements. The Pareto-based optimization algorithm, which executes the mapping of a subset of design space to the objectives space by the cyclic calling the forward problem implemented as a finite element model, allows estimating the best achievable quality indicators of manufactured composite parts, finding satisfactory parameters of the control law, and decision-making considering all imposed constraints.

show abstract

“…This means that the heat loss towards the mould or vacuum bag is neglected. The heat transfer can then be described as follows: [10,[13][14][15] …”

Section: Governing Equationsmentioning

confidence: 99%

“…While the thermal properties of the fibres can be considered constant, those of the resin are a function of the degree of conversion and temperature. For instance, the density can be described as follows: [10] …”

Section: Thermophysical Propertiesmentioning

confidence: 99%

“…[1,[6][7][8] The temperature overshoot results in matrix degradation, considerable residual thermal stresses and decrease in mechanical properties. [1,3,7,9,10] Therefore, substantial research has been A 1-D through-the-thickness transient heat transfer model is built to simulate the curing process of thick-walled glass-fibre-reinforced anionic polyamide-6 (APA-6) composites. The temperature and the degree of polymerisation through the thickness of the composite are calculated and compared to the experimentally obtained results.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Temperature Evolution During Processing of Thick‐Walled Anionic Polyamide 6 Composites: Experiment and Simulation

Teuwen

Geenen

Bersee

2012

Macro Materials & Eng

View full text Add to dashboard Cite

A 1‐D through‐the‐thickness transient heat transfer model is built to simulate the curing process of thick‐walled glass‐fibre‐reinforced anionic polyamide‐6 (APA‐6) composites. The temperature and the degree of polymerisation through the thickness of the composite are calculated and compared to the experimentally obtained results. The kinetic models describing the polymerisation behaviour of APA‐6 are implemented in the model. The kinetic model not taking into account the convection in the polymerisation process shows the best results. It is found that the predicted temperature profiles agree well with the experimental data. magnified image

show abstract

Models for coupled kinetics and heat transfer in processing polymeric materials with applications to biochemical engineering

Cited by 19 publications

References 32 publications

Mathematical Modelling and Computer Simulation of Linear Polymer Degradation: Simple Scissions

Mathematical Modelling and Computer Simulation of Linear Polymer Degradation: Simple Scissions

FEM model-based optimal control synthesis for curing a large composite structure with CAD imported geometry

Temperature Evolution During Processing of Thick‐Walled Anionic Polyamide 6 Composites: Experiment and Simulation

Contact Info

Product

Resources

About