On the numerical solution of phase change problems in transient non‐linear heat conduction

A mathematical model that predicts the water-permeability coefficient of multilayer films intended for food-packaging applications is presented. A 6-layer film composed of 5 polyolefinic layers and a layer made of a copolymer of ethylene and vinylalcohol (EVOH) was used to validate the proposed model. Water-permeability tests were run at 25°C both on each single layer and on the multilayer film; whereas the water-sorption isotherm and the water-sorption kinetics were determined only for the EVOH layer. Results suggest that the water-permeability coefficient of multilayer films can be predicted from the knowledge of the water-transport properties of each constituent layer.

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“…linear parabolic equations, such as Eq. 6, were integrated numerically according to the method proposed by Mastanaiah (1976).…”

Section: Food Engineering and Physical Propertiesmentioning

confidence: 99%

A New Approach to Predict the Water‐transport Properties of Multilayer Films Intended for Food‐packaging Applications

Nobile¹,

Buonocore²,

Dainelli³

et al. 2004

Journal of Food Science

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“…The nonlinear parabolic equations, such as Eq. 9, were integrated numerically according to the method proposed by Mastanaiah (1976). Water barrier properties of nylon .…”

Section: Methodsmentioning

confidence: 99%

Modeling the Water Barrier Properties of Nylon Film Intended for Food Packaging Applications

Nobile¹,

Buonocore²,

Altieri³

et al. 2003

Journal of Food Science

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This paper presents a mathematical model able to predict the water barrier properties of nylon film as a function of the water activity at the upstream and downstream side of the film. To validate the model, water sorption and permeation tests were conducted at 25 °C. The fitting and predictive ability of the proposed model was successfully tested by fitting the model to the sorption data and by predicting the nylon water permeability coefficient, respectively. The implications of the adopted approach on practical aspects of packaging were pointed out by comparing the nylon water barrier properties as evaluated by means of a permeation test and that in the real working conditions.

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“…The nonlinear parabolic equations, such as Eq. 17, were integrated numerically according to the method proposed by Mastanaiah (1976). The quadrature of a function, such as that appearing in Eq.…”

Section: Methodsmentioning

confidence: 99%

Modeling the Oxygen Barrier Properties of Nylon Film Intended for Food Packaging Applications

Nobile¹,

Buonocore²,

Notte³

et al. 2003

Journal of Food Science

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We present a mathematical model to predict the oxygen-permeability coefficient of nylon film as a function of the water activity at the upstream and downstream side of the film. To validate the model, oxygenpermeability tests were conducted at 25 °C. The fitting and predictive ability of the proposed model was successfully tested by fitting and predicting the oxygen-permeability coefficient. The obtained results point out the need for a more accurate analysis of the oxygen and water-transport phenomena in the case of water-sensitive packaging films like nylon.

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On the numerical solution of phase change problems in transient non‐linear heat conduction

Cited by 22 publications

References 17 publications

A New Approach to Predict the Water‐transport Properties of Multilayer Films Intended for Food‐packaging Applications

A New Approach to Predict the Water‐transport Properties of Multilayer Films Intended for Food‐packaging Applications

Modeling the Water Barrier Properties of Nylon Film Intended for Food Packaging Applications

Modeling the Oxygen Barrier Properties of Nylon Film Intended for Food Packaging Applications

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