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Abstract

It is common practice to use analogous models for solving problems that cannot be solved in their original form. Fluid spreading in composite web structures is difficult to model mathematically using mass transfer equations because of complicated driving forces and energy losses caused by a number of irreversible processes. The problem has been transformed into an analogous three-dimensional transient heat transfer model with varying thermal conductivities and heat capacities, to represent the actual phenomenon of fluid spreading in a composite web. A web structure is considered with varying porosities in the layers and pores with certain preferred orientations. A temporary point source of fluid is considered near the center of the top layer, and the dynamics of fluid spreading are modeled. A clear method of converting the temperature history of the web section into the fluid saturations of the web medium is presented. The results predicted by the model match well with the experimental data available in the literature, indicating its usefulness.

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A Simplified Model for Fluid Spreading in Composite Web Structures

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