<?xml version="1.0" encoding="utf-8" standalone="no"?>
<!DOCTYPE article SYSTEM "http://www.atmos-chem-phys.net/inc/acp/copernicus.dtd">
<article language="en">
	<journal>
		<journal_title>Atmospheric Chemistry and Physics</journal_title>
		<journal_url>www.atmos-chem-phys.net</journal_url>
		<issn>1680-7316</issn>
		<eissn>1680-7324</eissn>
		<volume_number>8</volume_number>
		<issue_number>20</issue_number>
		<publication_year>2008</publication_year>
	</journal>
	<doi>10.5194/acp-8-6245-2008</doi>
	<article_url>http://www.atmos-chem-phys.net/8/6245/2008/</article_url>
	<abstract_html>http://www.atmos-chem-phys.net/8/6245/2008/acp-8-6245-2008.html</abstract_html>
	<fulltext_pdf>http://www.atmos-chem-phys.net/8/6245/2008/acp-8-6245-2008.pdf</fulltext_pdf>
	<start_page>6245</start_page>
	<end_page>6259</end_page>
	<publication_date>2008-10-28</publication_date>
	<article_title content_type="html">Attenuation of concentration fluctuations of water vapor and other trace gases in turbulent tube flow</article_title>
	<authors>
		<author numeration="1" affiliations="1">
			<name>W. J. Massman</name>
			<email>wmassman@fs.fed.us</email>
		</author>
		<author numeration="2" affiliations="2">
			<name>A. Ibrom</name>
		</author>
	</authors>
	<affiliations>
		<affiliation numeration="1" content_type="html">US Forest Service, Rocky Mountain Research Station, 240 West Prospect, Fort Collins, CO 80526, USA</affiliation>
		<affiliation numeration="2" content_type="html">Bio Systems Department, Risø National Laboratory, DTU, Frederiksborgvej, 4000 Roskilde, Denmark</affiliation>
	</affiliations>
	<abstract content_type="html">Recent studies with closed-path eddy covariance (EC) systems have indicated
that the attenuation of fluctuations of water vapor concentration is
dependent upon ambient relative humidity, presumably due to
sorption/desorption of water molecules at the interior surface of the tube.
Previous studies of EC-related tube attenuation effects have either not
considered this issue at all or have only examined it superficially.
Nonetheless, the attenuation of water vapor fluctuations is clearly much
greater than might be expected from a passive tracer in turbulent tube flow.
This study reexamines the turbulent tube flow issue for both passive and
sorbing tracers with the intent of developing a physically-based
semi-empirical model that describes the attenuation associated with water
vapor fluctuations. Toward this end, we develop a new model of tube flow
dynamics (radial profiles of the turbulent diffusivity and tube airstream
velocity). We compare our new passive-tracer formulation with previous
formulations in a systematic and unified way in order to assess how sensitive
the passive-tracer results depend on fundamental modeling assumptions. We
extend the passive tracer model to the vapor sorption/desorption case by
formulating the model&apos;s wall boundary condition in terms of a
physically-based semi-empirical model of the sorption/desorption vapor
fluxes. Finally we synthesize all modeling and observational results into a
single analytical expression that captures the effects of the mean ambient
humidity and tube flow (Reynolds number) on tube attenuation.</abstract>
	<references>
		<reference numeration="1" content_type="text"> Ammann, C., Brunner, A., Spirig, C., and Neftel, A.: Technical Note: Water vapour concentration and flux measurements with PTR-MS, Atmos. Chem. Phys., 6, 4643–4651, 2006.  </reference>
		<reference numeration="2" content_type="text"> Andrews, E. and Larson, S. M.: Effect of surfactant layers on the size changes of aerosol particles as a function of relative humidity, Environ. Sci. Technol., 27, 857–865, 1993. </reference>
		<reference numeration="3" content_type="text"> Aravinth, S.: Prediction of heat and mass transfer for fully developed turbulent fluid flow in tube, Int. J. Heat Mass Tran., 43, 1399–1408, 2000. </reference>
		<reference numeration="4" content_type="text"> Awakuni, Y. and Calderwood, J. H.: Water vapour adsorption and surface conductivity in solids, J. Phys. D Appl. Phys., 5, 1038–1045, 1972. </reference>
		<reference numeration="5" content_type="text"> Barton, N. G.: The dispersion of solute from time-dependent releases in parallel flow, J. Fluid Mech., 136, 243–267, 1983. </reference>
		<reference numeration="6" content_type="text"> Brutsaert, W.: Evaporation into the Atmosphere, D Reidel Publishing Co., Dordrecht, 299 pp., 1982. </reference>
		<reference numeration="7" content_type="text"> Carey, V. P.: Liquid-Vapor Phase-Change Phenomena: An Introduction to the Thermophysics of Vaporization and Condensation Processes in Heat Transfer Equipment, Hemisphere Publishing Corp., Washington, D.C., 645 pp., 1992. </reference>
		<reference numeration="8" content_type="text"> Clement, R.: Mass and energy exchange of a plantation forest in Scotland using micrometeorological methods, Chapter 5 of PhD thesis, University of Edinburgh, Scotland, UK, 2004. </reference>
		<reference numeration="9" content_type="text"> Davidovits, P., Kolb, C. E., Williams, L. R., Jayne, J. T., and Worsnop, D. R.: Mass accommodation and chemical reactions at gas-liquid interfaces, Chem. Rev., 106, 1323–1354, 2006. </reference>
		<reference numeration="10" content_type="text"> Do, D. D.: Adsorption Analysis: Equilibria and Kinetics, Imperial College Press, London, 892 pp., 1998. </reference>
		<reference numeration="11" content_type="text"> Fagri, A.: Heat Pipe Science and Technology, Taylor &amp; Francis, Washington, D.C., 874 pp., 1995. </reference>
		<reference numeration="12" content_type="text"> Forslund, M. and Leygraf, C.: Humidity sorption due to deposited aerosol particles studied in situ outdoors on gold surfaces, J. Electrochem. Soc., 144, 105–113, 1997. </reference>
		<reference numeration="13" content_type="text"> Hussein, H. J., Capp, S., and George, W. K.: Velocity measurements in a high-Reynolds-number, momentum-conserving, axisymmetric, turbulent jet, J. Fluid Mech., 258, 31–75, 1994. </reference>
		<reference numeration="14" content_type="text"> Ibrom, A., Dellwik, E., Flyvbjerg, H., Jensen, N. O., and Pilegaard, K.: Strong low-pass filtering effects on water vapour flux measurements with closed-path eddy covariance systems, Agr. Forest Meteorol., 147, 140–156, 2007. </reference>
		<reference numeration="15" content_type="text"> Kays, W. M. and Crawford, M. E.: Convective Heat and Mass Transfer, McGraw-Hill Inc., New York, 601 pp., 1993. </reference>
		<reference numeration="16" content_type="text"> Kim, J., Moin, P., and Moser, R.: Turbulence statistics in fully developed channel flow at low Reynolds number, J. Fluid Mech., 177, 133–166, 1987. </reference>
		<reference numeration="17" content_type="text"> Kirkegaard, P. and Kristensen, L.: Turbulent flow in tubes: Semianalytic solutions, Z. Angew. Math. Mech., 76, 251–252, 1996. </reference>
		<reference numeration="18" content_type="text"> Lenschow, D. H. and Raupach, M. R.: The attenuation of fluctuations in scalar concentrations through sampling tubes, J. Geophys. Res., 96, 15 259–15 268, 1991. </reference>
		<reference numeration="19" content_type="text"> Li, Y. Q., Davidovits, P., Shi, Q., Jayne, J. T., Kolb, C. E., and Worsnop, D. R.: Mass and thermal accommodation coefficients for H&lt;sub&gt;2&lt;/sub&gt;O(g) on liquid water as a function of temperature, J. Phys. Chem. A, 105, 10 627–10 634, 2001. </reference>
		<reference numeration="20" content_type="text"> Marek, R. and Straub, J.: Analysis of the evaporation coefficient and condensation coefficient of water, Int. J. Heat Mass Tran., 44, 39–53, 2001. </reference>
		<reference numeration="21" content_type="text"> Massman, W. J.: The attenuation of concentration fluctuations in turbulent flow through a tube, J. Geophys. Res., 96, 15 269–15 273, 1991. </reference>
		<reference numeration="22" content_type="text"> Massman, W. J.: A simple method for estimating frequency response corrections for eddy covariance systems, Agr. Forest Meteorol., 104, 185–198, 2002. </reference>
		<reference numeration="23" content_type="text"> Massman, W. J.: Concerning the measurement of atmospheric trace gas fluxes with open- and closed-path eddy covariance systems: The WPL terms and spectral attenuation, in: Handbook of Micrometeorology: A Guide to Surface Flux Measurements, edited by: Lee, X., Massman, W. J., and Law, B. E., Springer, Dordrecht, The Netherlands, 133–160, 2004. </reference>
		<reference numeration="24" content_type="text"> McKeon, B. J., Zararola, M. V., and Smits, A. J.: A new friction factor relationship for fully developed pipe flow, J. Fluid Mech., 538, 429–443, 2005. </reference>
		<reference numeration="25" content_type="text"> Peters, G., Fischer, B., and Münster, H.: Eddy covariance measurements with closed-path optical humidity sensors: A feasible concept?, J. Atmos. Ocean. Tech., 18, 503–514, 2001. </reference>
		<reference numeration="26" content_type="text"> Philip, J. R.: The theory of dispersal during laminar flow in tubes, I, Aust. J. Phys., 16, 287–299, 1963a. </reference>
		<reference numeration="27" content_type="text"> Philip, J. R.: The damping of a fluctuation concentration by continuous sampling through a tube, Aust. J. Phys., 16, 454–463, 1963b. </reference>
		<reference numeration="28" content_type="text"> Pinczewski, W. V. and Sideman, S.: A model for mass (heat) transfer in turbulent tube flow. Moderate and high Schmidt (Prandtl) numbers, Chem. Eng. Sci., 29, 1969–1976, 1974. </reference>
		<reference numeration="29" content_type="text"> Polyanin, A. D., Kutepov, A. M., Vyazmin, A. V., and Kazenin, D. A.: Hydrodynamics, Mass and Heat Transfer in Chemical Engineering, Taylor &amp; Francis, New York, 386 pp., 2002. </reference>
		<reference numeration="30" content_type="text"> Pope, S. B.: Turbulent Flows, Cambridge University Press, Cambridge, 771 pp., 2000. </reference>
		<reference numeration="31" content_type="text"> Press, W. H., Teukolsky, S. A., Williams, W. T., and Flannery, B. P.: Numerical Recipes, 2nd Edition, Cambridge University Press, Cambridge, 963 pp., 1992. </reference>
		<reference numeration="32" content_type="text"> Pruppacher, H. R. and Klett, J. D.: Microphysics of clouds and Precipitation, Kluwer Academic Publishers, Dordrecht, 954 pp., 1997. </reference>
		<reference numeration="33" content_type="text"> Reichardt, H.: Die grundlagen des turbulenten wärmeüberganges, Archiv gesamte Wärmetechnik, 6/7, 129–143, 1951. </reference>
		<reference numeration="34" content_type="text"> Rusak, Z. and Meyerholz, J.: Mean velocity of fully developed turbulent pipe flows, AIAA Journal, 44, 2793–2797, 2006. </reference>
		<reference numeration="35" content_type="text"> Seinfeld, J. H. and Pandis, S. N.: Atmospheric Chemistry and Physics, John Wiley &amp; Sons, Inc., New York, 1326 pp., 1998. </reference>
		<reference numeration="36" content_type="text"> Sherwood, T. K., Pigford, R. L., and Wilke, C. R.: Mass Transfer, 3rd Edition, McGraw-Hill, New York, 677 pp., 1975. </reference>
		<reference numeration="37" content_type="text"> Silbey, R. J., Alberty, R. A., and Bawendi, M G.: Physical Chemistry, 4th Edition, John Wiley &amp; Sons, Inc., New York, 944 pp., 2005. </reference>
		<reference numeration="38" content_type="text"> Stokes, A. N. and Barton, N. G.: The concentration distribution produced by shear dispersion of solute in Poiseuille flow, J. Fluid Mech., 210, 201–221, 1990. </reference>
		<reference numeration="39" content_type="text"> Studnikov, E. L.: The viscosity of moist air, J. Engr. Phys. Thermophys., 19, 1036–1037, 1970. </reference>
		<reference numeration="40" content_type="text"> Taylor, G. I.: The dispersion of matter in turbulent flow through a pipe, Proc. R. Soc. Lon. Ser.-A, 223, 446–468, 1954. </reference>
		<reference numeration="41" content_type="text"> Tsilingiris, P. T.: Thermophysical and transport properties of humid air at temperature range between 0 and 100 &amp;deg;C, Energy Conversion and Management, 49, 1098–1110, 2008. </reference>
		<reference numeration="42" content_type="text"> Yang, T. H. and Pan, C.: Molecular dynamics simulations of a thin water layer evaporation and evaporation coefficient, Int. J. Heat Mass Tran., 48, 3516–3526, 2005. </reference>
		<reference numeration="43" content_type="text"> van Driest, E. R.: On turbulent flow near a wall, J. Aeronaut. Sci., 23, 1007–1036, 1956. </reference>
	</references>
</article>

