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The transpiration of water at negative pressures in a synthetic tree

Abstract

Plant scientists believe that transpiration—the motion of water from the soil, through a vascular plant, and into the air—occurs by a passive, wicking mechanism. This mechanism is described by the cohesion-tension theory: loss of water by evaporation reduces the pressure of the liquid water within the leaf relative to atmospheric pressure; this reduced pressure pulls liquid water out of the soil and up the xylem to maintain hydration1,2,3. Strikingly, the absolute pressure of the water within the xylem is often negative, such that the liquid is under tension and is thermodynamically metastable with respect to the vapour phase1,4. Qualitatively, this mechanism is the same as that which drives fluid through the synthetic wicks that are key elements in technologies for heat transfer5, fuel cells6,7 and portable chemical systems8,9,10. Quantitatively, the differences in pressure generated in plants to drive flow can be more than a hundredfold larger than those generated in synthetic wicks. Here we present the design and operation of a microfluidic system formed in a synthetic hydrogel. This synthetic ‘tree’ captures the main attributes of transpiration in plants: transduction of subsaturation in the vapour phase of water into negative pressures in the liquid phase, stabilization and flow of liquid water at large negative pressures (-1.0 MPa or lower), continuous heat transfer with the evaporation of liquid water at negative pressure, and continuous extraction of liquid water from subsaturated sources. This development opens the opportunity for technological uses of water under tension and for new experimental studies of the liquid state of water.

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Figure 1: Transpiration of water at negative pressures.
Figure 2: Liquid water in equilibrium with subsaturated vapours.
Figure 3: Transpiration through a synthetic tree.

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Acknowledgements

We thank M. A. Zwieniecki, N. M. Holbrook, P. J. Melcher, C. Cohen, K. J. Niklas, C. Cottin-Bizonne, A. Lassiter and F. Caupin for discussions and suggestions. We thank G. Swan and E. Velez-Rosa for technical assistance with experiments. Support was provided by the Office of Naval Research Young Investigator Program and the Camille and Henry Dreyfus Foundation. T.D.W. acknowledges partial support by a graduate fellowship from the Corning Foundation. The experiments made use of the following facilities: Cornell NanoScale Science and Technology Facility (a member of the National Nanotechnology Infrastructure Network, supported by the National Science Foundation (NSF)), the Nanobiotechnology Center (supported by the STC Program of the NSF under Agreement No. ECS-98767710) and the Cornell Center for Materials Research (supported by the NSF under Award No. DMR-0520404).

Author Contributions A.D.S. conceived the project. Both authors designed the experiments. T.D.W. executed the experiments. Both authors wrote the manuscript.

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Correspondence to Abraham D. Stroock.

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The file contains Supplementary Methods, Supplementary Figures 1-2, Supplementary Tables 1-2, Supplementary Equations S1-S11 and Supplementary Notes which contain additional information on assumptions stated in the text as well as the derivation of the mathematical relations that are presented in the text. (PDF 354 kb)

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Wheeler, T., Stroock, A. The transpiration of water at negative pressures in a synthetic tree. Nature 455, 208–212 (2008). https://doi.org/10.1038/nature07226

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