{"id":3076,"date":"2020-02-17T15:20:32","date_gmt":"2020-02-17T14:20:32","guid":{"rendered":"http:\/\/klima-fakten.net\/?page_id=3076"},"modified":"2021-10-13T08:54:26","modified_gmt":"2021-10-13T07:54:26","slug":"downwelling-ir-how-real-is-it","status":"publish","type":"page","link":"https:\/\/klima-fakten.net\/?page_id=3076&lang=en","title":{"rendered":"Downwelling IR &#8211; what is it?"},"content":{"rendered":"<div class=\"pdfprnt-buttons pdfprnt-buttons-page pdfprnt-top-right\"><a href=\"https:\/\/klima-fakten.net\/index.php?rest_route=wpv2pages3076&print=print\" class=\"pdfprnt-button pdfprnt-button-print\" target=\"_blank\"><img decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/plugins\/pdf-print\/images\/print.png\" alt=\"image_print\" title=\"Inhalt drucken\" \/><\/a><\/div>\n\n\n<h4 class=\"wp-block-heading\">Radiation budget<\/h4>\n\n\n\n<p>In climate science we usually find a &#8222;radiation budget&#8220; in order to display the energy fluxes that determine the climate: <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img decoding=\"async\" src=\"https:\/\/www.researchgate.net\/profile\/Manon_Urbain\/publication\/273640562\/figure\/fig1\/AS:614046957043721@1523411611838\/The-Earth-Radiation-Budget-23.png\" alt=\"\"\/><figcaption> <a href=\"http:\/\/www.cgd.ucar.edu\/staff\/trenbert\/trenberth.papers\/BAMSmarTrenberth.pdf\">Radiation Budget of earth<\/a><\/figcaption><\/figure>\n\n\n\n<p>For a long time I have been wondering about the extremely high value <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-bcc7a8075c1b359f8c35e9376b54c29c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#51;&#51;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#87;&#125;&#123;&#109;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"48\" style=\"vertical-align: -7px;\"\/> of a downwelling  radiation called &#8222;Back Radiation, absorbed by the surface&#8220;,  which appears to be (over-)compensated by the  &#8222;Surface Radiation&#8220; of a comparable value ( <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-bf0ccc575ce66494ea294c097a39b9a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#57;&#54;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#87;&#125;&#123;&#109;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"48\" style=\"vertical-align: -7px;\"\/> ), which is split into the &#8222;Atmospheric window&#8220; and an upwelling radiation of  <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-fd3f50218bf14dabe8571383906a4d62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#53;&#54;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#87;&#125;&#123;&#109;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"48\" style=\"vertical-align: -7px;\"\/>  into the atmosphere. Both downwelling and upwelling radiations are significantly larger than both the incoming SW radiation absorbed by the atmosphere (<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-f6869ee9df2747e9c2644186291693c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#55;&#56;&#32;&#32;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#87;&#125;&#123;&#109;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"39\" style=\"vertical-align: -7px;\"\/> )  as well as the  outgoing LW radiation (<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-5477eaf61574df2ad2866157d45087df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#54;&#57;&#32;&#32;&#92;&#102;&#114;&#97;&#99;&#123;&#87;&#125;&#123;&#109;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"47\" style=\"vertical-align: -7px;\"\/>).  <\/p>\n\n\n\n<p>Furthermore I was wondering about the strange phenomenon that there should be a radiation through the atmosphere  apparently <strong>transporting thermal energy from higher altitude to lower altitude<\/strong>, which &#8211; in an atmosphere with lapse rate, where temperature decreases with altitude &#8211; <strong>is physically not possible because it would break the 2nd law of thermodynamics<\/strong>,  which forbids spontaneous heat transport from a cold system to a warm system.  So I questioned whether &#8222;downwelling radiation&#8220; is in fact a real radiation at all &#8211; <strong>if it was real, then why would I not use it for heating my house instead of burning fossil fuels<\/strong> &#8212; catching downwelling radiation on an area of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-6eb244ab422bf49615a39fc1d4b1724b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#49;&#56;&#32;&#109;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"40\" style=\"vertical-align: -1px;\"\/> would be enough to provide <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-3c823d79a0bc538c5bc3cc76de486e23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#54;&#32;&#75;&#87;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"44\" style=\"vertical-align: 0px;\"\/> of permanent Energy supply.  <\/p>\n\n\n\n<h4 class=\"wp-block-heading\">A thought experiment<\/h4>\n\n\n\n<p>So for myself I came to the conclusion, that the downwelling radiation must be a model artefact and<strong> the real energy transport must be associated with the difference between upwelling and downwelling radiation<\/strong>, which in fact moves heat from the warmer surface to the colder atmosphere. At best the downwelling radiation can &#8222;slow down&#8220; the energy dissipation from the warmer body. <br>To clarify matters I made this thought experiment: There are 2 air parcels, a cold one <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-c7bab69bae9bcd6c8e2b54aceb92ec73_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: -4px;\"\/> with temperature <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-618f46a9ddcaebb0fd0160ec0f2e5496_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"16\" style=\"vertical-align: -4px;\"\/> and a hot one <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-b1f827f8a6c983b3db402a6b39a19a6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"\/> with temperature <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-ea1bcdd3ea46bc1cc5d0e3157998599a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"17\" style=\"vertical-align: -3px;\"\/> (<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-eda2ba4cff7031546609cd0c02cfaacc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;&#95;&#49;&#32;&#60;&#32;&#84;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"59\" style=\"vertical-align: -4px;\"\/>), and they can &#8222;see&#8220; each other  &#8211; the light path is reversible.  They both emit radiation, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-b1f827f8a6c983b3db402a6b39a19a6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"\/> emits more at all wavelengths due to Planck&#8217;s law, therefore losing more heat than <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-c7bab69bae9bcd6c8e2b54aceb92ec73_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: -4px;\"\/> in the process of emission. The received radiation is only a part of what was emitted, and even if the full radiation from <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-c7bab69bae9bcd6c8e2b54aceb92ec73_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: -4px;\"\/> was absorbed, <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-b1f827f8a6c983b3db402a6b39a19a6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"\/> can never receive more radiation than it has lost by emission.  Therefore the temperature of <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-b1f827f8a6c983b3db402a6b39a19a6b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#112;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"17\" style=\"vertical-align: -4px;\"\/> must necessesarily be smaller after the observed radiation process.    <\/p>\n\n\n\n<p>Sharing this conviction on Twitter quickly raised critical responses. But I was lucky in several ways: <strong>Most responses were polite and respectful,  yet very clear that they would not accept the &#8222;denial&#8220; of downwelling radiation<\/strong>. As a &#8222;proof&#8220; they provided links to instruments that can actually measure downwelling radiation. <\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Instruments for measuring downwelling IR<\/h4>\n\n\n\n<p>The typical instrument to measure downwelling IR is a <a href=\"https:\/\/en.wikipedia.org\/wiki\/Pyrgeometer\">pyrgeometer<\/a>. From its description we find the following features:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>It does not measure spectral components, but the total flux.<\/li><li> Since the mean free path of IR radiation in the atmosphere is ~25 meters, this device typically measures IR flux within a cone with the height of 25 meter. <\/li><li>The actual measurement is the <strong>difference between the blackbody flux of the &#8222;surface&#8220; within the instrument and the incoming flux<\/strong>, in combination with a temperature measurement inside the instrument.  The measurement principle is the &#8222;<a href=\"https:\/\/en.wikipedia.org\/wiki\/Thermoelectric_effect\">Seebeck effect&#8220;<\/a> which <strong>measures by definition temperature differences<\/strong>. <\/li><li>Taking into accout the spectral composition of the IR Flux with a factor, the pyrgeometer effectively measures relative temperature (compared to its own temperature)<\/li><\/ul>\n\n\n\n<p>So at the end of the day, a pyrgeometer measures the difference of downwelling flux and the &#8222;upwelling&#8220; surface flux of the instrument. That confirms that only flux differences make a real heat flow possible.  <br>And the measurement volume is a cone of height <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-9a6a0c93f08264c180e48c1b2a318891_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#53;&#109;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"33\" style=\"vertical-align: 0px;\"\/>. This is in fact a local measurement, measuring the integral of the Planck spectrum of this cone. If it was a black body radiation, it would be the radiation equivalent of the local temperature according to the <a href=\"https:\/\/en.wikipedia.org\/wiki\/Stefan%E2%80%93Boltzmann_law\">Stefan-Boltzmann law<\/a>.<strong> In reality it is a function of the local temperature, that also depends on the greenhouse gas content<\/strong>. <strong> And It actually says nothing about processes beyond 25m distance.<\/strong> <br>The measured flux is therefore very close to just a temperature measurement, combined with a greenhouse gas dependent emissivity coefficient. It would be exactly measuring temperature, if the air was a black body.  The radiating bands correspond to the available greenhouse gases. <a href=\"https:\/\/en.wikipedia.org\/wiki\/Thermal_radiation#Radiative_heat_transfer\">The actual radiative heat flow <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-a595ba572dc2c8b743ab78685d9422b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#68;&#101;&#108;&#116;&#97;&#32;&#83;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"27\" style=\"vertical-align: 0px;\"\/> from a location of hot temperature <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-64ea980b8ecea3fb0b6b478c7d4f0196_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;&#95;&#104;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: -3px;\"\/> to a location of cold temperature <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-a3fa55818ba7c1fdcfb614c895ad8cd7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#84;&#95;&#99;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"16\" style=\"vertical-align: -3px;\"\/> is determined by<\/a> <p class=\"ql-center-displayed-equation\" style=\"line-height: 21px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-d5705b696ca515dae02c7c7fe54ef2d2_l3.png\" height=\"21\" width=\"157\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#91;&#92;&#68;&#101;&#108;&#116;&#97;&#32;&#83;&#61;&#92;&#115;&#105;&#103;&#109;&#97;&#92;&#99;&#100;&#111;&#116;&#92;&#101;&#112;&#115;&#105;&#108;&#111;&#110;&#40;&#84;&#95;&#104;&#94;&#52;&#45;&#84;&#95;&#99;&#94;&#52;&#41;&#92;&#93;\" title=\"Rendered by QuickLaTeX.com\"\/><\/p> where <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/klima-fakten.net\/wp-content\/ql-cache\/quicklatex.com-729568734d87ffb0f88cf42b1bc6828a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#101;&#112;&#115;&#105;&#108;&#111;&#110;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"7\" style=\"vertical-align: 0px;\"\/> depends on the emissivity and the geometry of the arrangement.<\/p>\n\n\n\n<p>While the measurement can be refined by measuring the downwelling sprectrum, the basic principle remains. The analysed volume of data, a cone of about 25m height, is still the same as with a pyrgeometer<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Thermodynamic equilibrium<\/h4>\n\n\n\n<p>The troposphere is considered to be in a state of local thermodynamic equilibrium. This has a few consequences:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>The atmosphere has a constant <strong>lapse rate<\/strong>, i.e. falling temperature with altitude, <strong>while being in thermodynamic equilibrium<\/strong>. This implies that there is no heat flow at all despite temperature difference, unless there are deviations from the lapse rate induced temperature difference. <\/li><li>Due to thermodynamic equilibrium, according to <a href=\"https:\/\/en.wikipedia.org\/wiki\/Kirchhoff%27s_law_of_thermal_radiation\">Kirchhoff&#8217;s law<\/a> all greenhouse gases emit the same amount of IR radiation as they absorb. This enforces a strong inter-dependency of the radiative processes with the dominant thermodynamics. <\/li><li>Above the troposphere the thermodynamic equilibrium breaks down, and radiative processes become dominant. As discussed above, even then there is no heat transfer from cold to hot locations. <\/li><\/ul>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Radiation budget In climate science we usually find a &#8222;radiation budget&#8220; in order to display the energy fluxes that determine the climate: For a long &hellip; <\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"twitterCardType":"","cardImageID":0,"cardImage":"","cardTitle":"","cardDesc":"","cardImageAlt":"","cardPlayer":"","cardPlayerWidth":0,"cardPlayerHeight":0,"cardPlayerStream":"","cardPlayerCodec":"","footnotes":""},"class_list":["post-3076","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/klima-fakten.net\/index.php?rest_route=\/wp\/v2\/pages\/3076","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/klima-fakten.net\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/klima-fakten.net\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/klima-fakten.net\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/klima-fakten.net\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=3076"}],"version-history":[{"count":79,"href":"https:\/\/klima-fakten.net\/index.php?rest_route=\/wp\/v2\/pages\/3076\/revisions"}],"predecessor-version":[{"id":7003,"href":"https:\/\/klima-fakten.net\/index.php?rest_route=\/wp\/v2\/pages\/3076\/revisions\/7003"}],"wp:attachment":[{"href":"https:\/\/klima-fakten.net\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=3076"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}