Prediction of cellular structure in free expansion of viscoelastic media

Joshi, Kishore; Lee, James G.; Shafi, Muhammad Aamir; Flumerfelt, Raymond W.

doi:10.1002/(sici)1097-4628(19980222)67:8<1353::aid-app2>3.0.co;2-d

Cited by 60 publications

(49 citation statements)

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“…A further modification of the Arefmanesh et al model was made by Shafi et al [31] and Joshi et al [32], who considered the simultaneous effects of diffusion and nucleation on bubble growth. In that work, the size of the influence volume surrounding each bubble was related to the size and the time of bubble nucleation.…”

Section: Modeling Bubble Growthmentioning

confidence: 99%

Modeling nanoporosity development in polymer films for low-k applications

Doshi

Simon

2005

Polym. Eng. Sci.

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The bubble growth dynamics of a polymer supersaturated with CO 2 have been modeled for micron-size films after nucleation. The model equations are based on the shell model of Arefmanesh, Advani, and Michaelides in which a nucleated bubble is surrounded by a finite concentric shell of polymer supersaturated with gas. Bubbles grow by mass transfer of dissolved gas from this shell. The model is extended to allow for diffusion of dissolved gas out of the shell in addition to diffusion into the bubble. A parametric analysis is performed to examine the effects of film thickness, temperature, diffusivity at the T g and Henry's law constant. POLYM. ENG. SCI., 45: 640 -651, 2005.

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Section: Modeling Bubble Growthmentioning

confidence: 99%

Modeling nanoporosity development in polymer films for low-k applications

Doshi

Simon

2005

Polym. Eng. Sci.

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“…The polymer is integral to the foaming process and must play a role in the growth of the foam. Although bubble growth in polymer foams has been studied extensively,7–15 the corresponding process on a porous paper substrate is very different and has not been addressed before.…”

Section: Resultsmentioning

confidence: 99%

Effect of polymer properties on bubble growth in polymer–paperboard composites

Annapragada

Patterson

Banerjee

2008

J of Applied Polymer Sci

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Foamed paperboard is a composite material used in thermally insulated food packaging and beverage containers. The paperboard is sandwiched between a layer of low-density polyethylene and a barrier layer, and the low-density film is foamed through heating. The moisture inside the paperboard vaporizes and serves as the driving force for creating the foam. The bubble growth on the paper surface has been tracked with highspeed photography. The number of generated bubbles has been found to depend on the number of pores on the surface of the paperboard; there is little or no dependence on the properties of the polymer, at least across the range of properties studied. In contrast, the thickness of the foam is relatively insensitive to the paperboard properties but has a strong dependence on the thickness of the initial polymer film, the nature of the polymer, and the speed at which it is extruded onto the paperboard. It is believed that some of these variations arise from differences in the degree of adhesion between the polymer and the paperboard.

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“…A number of modeling efforts have been made to simulate foaming processes involved with physical blowing agents in polymer melts. The existing methods include but are not limited to the single bubble model, [10][11][12] cell model, [13][14][15] influence volume analysis, [16][17][18][19][20] level set method, 21,22 and biphase continuum approach. 23,24 However, these models cannot be directly applied to the EPS expansion process because they almost exclusively focus on foaming processes triggered by a sudden decrease in the system pressure.…”

Section: Introductionmentioning

confidence: 99%

Modeling of expandable polystyrene expansion

Hong

Fang

Yao

2016

J of Applied Polymer Sci

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A fundamental understanding of the expansion kinetics of expandable polystyrene (EPS) is crucial for the design and optimization of processes for EPS-filled syntactic foams. In this study, a general formulation was developed to model EPS expansion. A semi-analytical solution was obtained on the basis of the case of a single bubble expansion in an infinite matrix. The dimensionless bubble radius and pressure were defined and found to be exponential functions of the dimensionless expansion time. The characteristic bubble expansion time was able to characterize the timescale of the expansion process. The semi-analytical solution could qualitatively predict the radial expansion of the EPS microsphere observed in a real-time experiment. To obtain an accurate prediction, a numerical solution was obtained to the model that coupled the nucleation and expansion of multiple bubbles in a finite matrix at various temperatures. The results show that the numerical solution was able to quantitatively predict the radial expansion of EPS. A parameter sensitivity study was performed to examine the effect of each parameter over the expansion process. V C 2016 Wiley Periodicals, Inc. J. Appl. Polym. Sci. 2016, 133, 43886.

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Prediction of cellular structure in free expansion of viscoelastic media

Cited by 60 publications

References 0 publications

Modeling nanoporosity development in polymer films for low-k applications

Modeling nanoporosity development in polymer films for low-k applications

Effect of polymer properties on bubble growth in polymer–paperboard composites

Modeling of expandable polystyrene expansion

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