Evidence of Nonlinear Flow In Softwoods From Wood Permeability Measurements

Authors

  • N. Kuroda
  • J. F. Siau

Keywords:

Air permeability, hardwoods, softwoods, nonlinear flow, Reynolds number

Abstract

A series of air permeability measurements of softwoods and hardwoods was conducted with flow rates from 0.015 to 32 cm3/sec to examine nonlinear flow. The permeability of loblolly pine, Douglas-fir, and white spruce was found to decrease with flow rate. The critical Reynolds numbers obtained from the decrease in permeability and also from the increase in the applied pressure difference with flow rate, based on Tompkins' equation, were between 0.41 and 1.62. These were in good agreement with the values calculated from the length-to-radius ratio of pit openings in accordance with Siau and Petty's study of short capillaries. This indicated the presence of nonlinearity owing to kinetic energy losses at the pit openings. Nonlinear flow could not be detected for paper birch and basswood.

References

Bolton, A. J., and J. A. Petty. 1978. A model describing axial flow of liquids through conifer wood. Wood Sci. Technol. 12:37-48.nComstock, G. L. 1967. Longitudinal permeability of wood to gases and nonswelling liquids. For. Prod. J. 17(10):41-46.nComstock, G. L. 1970. Directional permeability of softwoods. Wood Fiber 1(4):283-289.nErk, S. 1929. Uber Zahigkeitsmessungen nach der Kapillarmethode. Z. fur Tech. Phys. 10:452-457.nPetty, J. A. 1970. Permeability and structure of the wood of Sitka spruce. Proc. Roy. Soc. Lond. 8175:149-166.nPetty, J. A. 1974. Laminar flow of fluids through short capillaries in conifer wood. Wood Sci. Technol. 8:275-282.nPetty, J. A. 1978. Fluid flow through the vessels of birch wood. J. Exp. Botany 29(113):1463-1469.nPetty, J. A. and R. D. Preston. 1969. The dimensions and number of pit membrane pores in conifer wood. Proc. Roy. Soc. Lond. B172:137-151.nScheidegger, A. E. 1960. The physics of flow through porous media. 3rd ed. University of Toronto, Toronto. P. 36.nSebastian, L. P., W. A. Côté, and C. Skaar. 1965. Relationship of gas phase permeability to ultrastructure of white spruce wood. For. Prod. J. 15(9):394-404.nSiau, J. F. 1984. Transport processes in wood. Springer-Verlag, Heidelberg. Pp. 49-51, 77, 78, 91-97.nSiau, J. F. and J. A. Petty. 1979. Corrections for capillaries used in permeability measurements of wood. Wood Sci. Technol. 13:179-185.nSiau, J. F., Y. Kanagawa, and J. A. Petty. 1981. The use of permeability and capillary theory to characterize the structure of wood and membrane filters. Wood Fiber 13(1):2-12.nStamm, A. J. 1967. Movement of fluids in wood—Part 1: Flow of fluids in wood. Wood Sci. Technol. 1:122-141.nTompkins, E. E. 1974. Flow measurement utilizing multiple, parallel capillaries. Pages 465-471 in R. B. Dowdell, ed. Flow: Its measurement and control in science and industry. Pittsburgh, Instrument Soc. of America.n

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Published

2007-06-22

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Section

Research Contributions