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TOOLED THICK COMPOSITES by ARVEN H. SAUNDERS III ...

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maximum at x=0. Resin flow will then occur as a result of the differential pressure, moving from<br />

the higher resin pressure to lower. The result will be a reduced laminate resin volume, a<br />

Resin flow<br />

Figure 3.2. Consolidation of a Flat Laminate with Pressure Applied <strong>by</strong> a Rigid Surface.<br />

displacement change for the top surface and a reduced overall laminate volume. Here it is<br />

assumed that the predominant fiber orientation for the laminate is along its length; therefore in<br />

reference to the figure, the predominant resin flows will be horizontal, flowing out the edges on<br />

either side.<br />

<strong>by</strong> Darcy’s Law:<br />

The velocity of a fluid through a porous media of unit cross-sectional area is governed<br />

Resin flow velocity =<br />

28<br />

K dPr<br />

µ L<br />

where the differential resin pressure dPr (Pa) exists between 2 points separated <strong>by</strong> a distance L<br />

(m), K is the permeability (m 2 ), and µ is fluid viscosity (Pa-sec). For application to flow through a<br />

composite laminate, all laminate volume is assumed to consist of fibers fully saturated with<br />

resin, with negligible void volume. Note that permeability can be thought of as a proportionality<br />

constant that accounts for the pressure drop through the laminate under conditions of a<br />

constant flow rate.<br />

3.6 Permeability<br />

Permeability is a fundamental material property for resin flow characteristics through a<br />

laminate. Gutowski proposed an expression for permeability based on the Carman-Kozeny<br />

constant kii:<br />

Applied pressure<br />

Laminate<br />

X = -L/2 X=0 X = L/2<br />

L<br />

Resin flow

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