Measuring Eddy Heat and Constituent Fluxes with High-Resolution Na and Fe Doppler Lidars

Chester S Gardner, Alan Z Liu

Research output: Contribution to journalArticlepeer-review

Abstract

<div class="line" id="line-5"> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> Vertical transport by turbulent mixing plays a fundamental role in establishing the thermal and </span></div><div class="line" id="line-7"> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> constituent structure of the upper mesosphere and lower thermosphere (MLT). Because of observational </span></div><div class="line" id="line-9"> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> challenges, eddy heat, constituent, and momentum </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fl </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> uxes, and the associated coef </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fi </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> cients for thermal ( </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 9pt;"> k </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 7pt;"> H </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> ), </span></div><div class="line" id="line-18"> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> constituent ( </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 9pt;"> k </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 7pt;"> zz </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> ), and momentum ( </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 9pt;"> k </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 7pt;"> M </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> ), diffusion have not been well characterized in the MLT. We show that </span></div><div class="line" id="line-26"> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> properly con </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fi </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> gured Na and Fe Doppler lidars, with suf </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fi </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> cient resolution to observe the turbulence-induced wind, </span></div><div class="line" id="line-32"> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> temperature, and density </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fl </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> uctuations, can make direct measurements of eddy </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fl </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> uxes throughout the mesopause </span></div><div class="line" id="line-38"> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> region. When the horizontal ( </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 9pt;"> z </span> <span style="font-family: 'AdvTT73b978ed.I+03'; font-size: 9pt;"> &theta; </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 7pt;"> L </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> with </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 9pt;"> z </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> = altitude and </span> <span style="font-family: 'AdvTT73b978ed.I+03'; font-size: 9pt;"> &theta; </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 7pt;"> L </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> = full width at half maximum laser divergence), vertical </span></div><div class="line" id="line-49"> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> ( </span> <span style="font-family: 'AdvTT182ff89e+03'; font-size: 9pt;"> &Delta; </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 9pt;"> z </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> ), and temporal ( </span> <span style="font-family: 'AdvTT182ff89e+03'; font-size: 9pt;"> &Delta; </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 9pt;"> t </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> ) resolutions of the lidar satisfy the condition </span> <span style="font-family: 'AdvTT7329fd89.I'; font-size: 9pt;"> L </span> <span style="font-family: 'AdvTT7329fd89.I'; font-size: 6pt;"> C </span> <span style="font-family: 'AdvTTe45e47d2+22'; font-size: 9pt;"> &simeq; </span> <span style="font-family: AdvP4C4E74; font-size: 9pt;"> &eth; </span> <span style="font-family: AdvTTe45e47d2; font-size: 9pt;"> 3 </span> <span style="font-family: 'AdvTT7329fd89.I'; font-size: 9pt;"> z </span> <span style="font-family: 'AdvTT73b978ed.I+03'; font-size: 9pt;"> &theta; </span> <span style="font-family: 'AdvTT7329fd89.I'; font-size: 6pt;"> L </span> <span style="font-family: AdvP4C4E74; font-size: 9pt;"> &THORN; </span> <span style="font-family: AdvTTe45e47d2; font-size: 6pt;"> 2 </span> <span style="font-family: AdvP4C4E74; font-size: 9pt;"> &thorn; &eth; </span> <span style="font-family: AdvTTe45e47d2; font-size: 9pt;"> 0 </span> <span style="font-family: AdvP4C4E51; font-size: 9pt;"> : </span> <span style="font-family: AdvTTe45e47d2; font-size: 9pt;"> 6 </span> <span style="font-family: 'AdvTT7329fd89.I'; font-size: 9pt;"> u </span> <span style="font-family: 'AdvTT182ff89e+03'; font-size: 9pt;"> &Delta; </span> <span style="font-family: 'AdvTT7329fd89.I'; font-size: 9pt;"> t </span> <span style="font-family: AdvP4C4E74; font-size: 9pt;"> &THORN; </span> <span style="font-family: AdvTTe45e47d2; font-size: 6pt;"> 2 </span> <span style="font-family: AdvP4C4E74; font-size: 9pt;"> &thorn; &eth; </span> <span style="font-family: AdvTTe45e47d2; font-size: 9pt;"> 1 </span> <span style="font-family: AdvP4C4E51; font-size: 9pt;"> : </span> <span style="font-family: AdvTTe45e47d2; font-size: 9pt;"> 5 </span> <span style="font-family: 'AdvTT182ff89e+03'; font-size: 9pt;"> &Delta; </span> <span style="font-family: 'AdvTT7329fd89.I'; font-size: 9pt;"> z </span> <span style="font-family: AdvP4C4E74; font-size: 9pt;"> &THORN; </span> <span style="font-family: AdvTTe45e47d2; font-size: 6pt;"> 2 </span> <span style="font-family: 'AdvTT46dcae81+22'; font-size: 9pt;"> &le; </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> 270 m (125 m), where </span> <span style="font-family: 'AdvTT7329fd89.I'; font-size: 9pt;"> u </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> is the mean horizontal wind velocity, the observations include more than 80% (90%) of the energy in the turbulence </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fl </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> uctuations, and the observed </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fl </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> uxes and derived diffusivities will be highly representative of the actual values. For existing Na and Fe Doppler lidars, which have modest power-aperture products of about 1 W m </span> <span style="font-family: AdvTT46dcae81; font-size: 7pt;"> 2 </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> , long averaging times (5 </span> <span style="font-family: 'AdvTT46dcae81+20'; font-size: 9pt;"> &ndash; </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> 20 h) are required to obtain statistically signi </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fi </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> cant estimates of the eddy </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fl </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> uxes, </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 9pt;"> k </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 7pt;"> zz </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> , </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 9pt;"> k </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 7pt;"> H </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> , and </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 9pt;"> k </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 7pt;"> M </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> pro </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fi </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> les, and the turbulent Prandtl number ( </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 9pt;"> Pr </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> = </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 9pt;"> k </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 7pt;"> M </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> / </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 9pt;"> k </span> <span style="font-family: 'AdvTT65f8a23b.I'; font-size: 7pt;"> H </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> ) between about 85 and 100 km. These systems are capable of measuring the weekly or monthly mean </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fl </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> ux and diffusivity pro </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fi </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> les. Systems with power-aperture products of 5 </span> <span style="font-family: 'AdvTT46dcae81+20'; font-size: 9pt;"> &ndash; </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> 100 W m </span> <span style="font-family: AdvTT46dcae81; font-size: 7pt;"> 2 </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> or larger could be used to study the eddy </span> <span style="font-family: 'AdvTT46dcae81+fb'; font-size: 9pt;"> fl </span> <span style="font-family: AdvTT46dcae81; font-size: 9pt;"> uxes generated by the dissipation and breaking of individual gravity waves to altitudes as high as the turbopause (~110 km).&nbsp; </span></div>
Original languageAmerican English
JournalJournal of Geophysical Research
Volume119
DOIs
StatePublished - Sep 15 2014
Externally publishedYes

Disciplines

  • Earth Sciences
  • Atmospheric Sciences

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