![\"\"](\"https:\/\/www.beta-strumentazione.it\/wp-content\/uploads\/2024\/06\/ScreenShot_20240604181932.jpeg\")
<\/figure>\n\n\n\nWhere CDil.<\/sub>is the requested concentration after dilution, CBs is the concentration of the measurand component in the span gas bottle, CBz the concentration of the measurand component in the zero gas bottle (generally CBz=0).\u00a0 In both cases a) and b) the starting point is the same<\/p>\n\n\n\n The tranfer functionis composed by three contributions that puts into mathematic form the three conditions that must be accomplished in the divider:<\/p>\n\n\n\n b. The condition of having set the total output flow to a setpoint specified by the user<\/p>\n\n\n\n c. The Poiseuille formula, (modified to consider the fact that dilution occurs at capillaries outlet and gases are compressibles.<\/p>\n\n\n\n d. The system of the three above equations is calculated in one time to get the solution (N, dP1, dP0), but before that it\u2019s better to prevent consequences due to special conditions :<\/p>\n\n\n\n Please note that the capillaries number coming out from calculation is decimal, but our equal calipparies must be threated as integer numbers. Than, the capillaries partition is necessarily defined as an integers ratio, using approximations to integer and the approximation error is exactly recovered by applying dP1 and dP0 that solves the equation.<\/p>\n\n\n\n It can be interesting to see the values of dP1 and dP0 resulting from the above calculations.The two trends shown below indicate how the dilution range can be fully covered. In this case the left side figure is showing a situation with the two viscosities equal and the right side picture is showing a case with \u03b71=0,5*\u03b70. <\/p>\n\n\n\n In the second case, N is growing slower to compensate the higher flow due to lower viscosity<\/p>\n\n\n\n In the charts we see two lines : one bleu is the ratio P1\/P0 and one brown is relevant to capillaries partition : from the left (high dilution) with N small to the right low dilutions with N high. <\/p>\n<\/div>\n<\/div>\n\n\n\n <\/p>\n\n\n\n It\u2019s useful to observe what\u2019s happening in the various points of the horizontal segment in the brown step. Note that dilution grows linearly moving from left to right (trace green) :<\/p>\n\n\n\n Each front of step (when N changes to N+1), there is a sudden change : the pressures ratio do revert (P1\/P0 changes from higher than one to lower than one) and N is incremented : with all this bailamme the Dilution is changed just a very small amount (step is nearly vertical). It\u2019s the right point in which to check the calculation accuracy. We made those tests, not requiring a special instrumentation, and got the demonstration that the dilution equation matches perfectly the diluter logics and the capillaries physics.<\/p>\n\n\n\n <\/p>\n","protected":false},"excerpt":{"rendered":" BetaCAP diluters are fully complying with their transfer function : the user inputs the wanted resulting flow, the dilution ratio and the gas composition. The gas divider puts those data…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[28],"tags":[],"class_list":["post-2377","post","type-post","status-publish","format-standard","hentry","category-news-en"],"acf":[],"_links":{"self":[{"href":"https:\/\/www.beta-strumentazione.it\/en\/wp-json\/wp\/v2\/posts\/2377","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.beta-strumentazione.it\/en\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.beta-strumentazione.it\/en\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.beta-strumentazione.it\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.beta-strumentazione.it\/en\/wp-json\/wp\/v2\/comments?post=2377"}],"version-history":[{"count":10,"href":"https:\/\/www.beta-strumentazione.it\/en\/wp-json\/wp\/v2\/posts\/2377\/revisions"}],"predecessor-version":[{"id":3111,"href":"https:\/\/www.beta-strumentazione.it\/en\/wp-json\/wp\/v2\/posts\/2377\/revisions\/3111"}],"wp:attachment":[{"href":"https:\/\/www.beta-strumentazione.it\/en\/wp-json\/wp\/v2\/media?parent=2377"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.beta-strumentazione.it\/en\/wp-json\/wp\/v2\/categories?post=2377"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.beta-strumentazione.it\/en\/wp-json\/wp\/v2\/tags?post=2377"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}THE TRANSFER FUNCTION OF THE DILUTER<\/h2>\n\n\n\n
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![\"\"](\"https:\/\/www.beta-strumentazione.it\/wp-content\/uploads\/2024\/06\/KDil.jpeg\")
<\/figure>\n\n\n\n![\"\"](\"https:\/\/www.beta-strumentazione.it\/wp-content\/uploads\/2024\/04\/Immagine2.png\")
<\/figure>\n\n\n\n![\"\"](\"https:\/\/www.beta-strumentazione.it\/wp-content\/uploads\/2024\/06\/Poiseuille.jpeg\")
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![\"\"](\"https:\/\/www.beta-strumentazione.it\/wp-content\/uploads\/2024\/06\/ScreenShot_20240604190230.jpeg\")
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![\"\"](\"https:\/\/www.beta-strumentazione.it\/wp-content\/uploads\/2024\/04\/eta1sueta01-1.png\")
<\/figure>\n<\/div>\n\n\n\n![\"\"](\"https:\/\/www.beta-strumentazione.it\/wp-content\/uploads\/2024\/04\/eta1sueta00.5-1.png\")
<\/figure>\n<\/div>\n<\/div>\n\n\n\n![\"\"](\"https:\/\/www.beta-strumentazione.it\/wp-content\/uploads\/2024\/04\/eta1sueta0grande-2.png\")
<\/figure>\n<\/div>\n\n\n\n
It\u2019s good to remember that N=Ni (integer) and is related to Nd decimal values where Ni-0,5 < Nd < Ni+0,5. Ni is the brown trace and Nd the green.<\/p>\n\n\n\n\n
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