Applicability of Poiseuille'S Law to Exudation of Oleoresin from Wounds on Slash Pine

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Abstract
The variables in a modification of the equation for Poiseuille''s law for flow of liquids through capillaries were measured in the resin duct system of 12 trees of Pinus elliottii. The modified equation is Y = KNP(ab)2/[eta] where Y = rate of flow of oleoresin from a wound during the first 24 hours after wounding, K = a constant (not determined), N = number of radial resin ducts per unit area of tangential wound surface, a and b = means of semi-axes of the tranverse sections through the ducts, P = exudation pressure of oleoresin as measured at the wound surface, and [eta] = viscosity of oleoresin. Regression analysis showed that the product, N(ab)2/[eta] , accounted for 83 percent of the variation in observed flow rate between trees. The improvement in fit of the regression line resulting from the inclusion of pressure values in the product of the independent variables was not significant, because true pressure determinations could not be obtained with the method used. Flow rate of oleoresin during the first 24 hours after wounding was correlated with annual yield of oleoresin as obtained by a standard commercial naval stores method. Hence the factors N, (ab)2, and [eta] may be useful criteria for selecting parent trees to be used in producing progeny having a high oleoresin yielding capacity.

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