{"id":48630,"date":"2025-07-26T19:22:44","date_gmt":"2025-07-26T17:22:44","guid":{"rendered":"https:\/\/www.derivaty.sk\/?p=48630"},"modified":"2025-07-26T19:22:44","modified_gmt":"2025-07-26T17:22:44","slug":"aerodynamicke-interakcie-numericka-a-experimentalna-validacia-interakcie-vrtul-a-ramien","status":"publish","type":"post","link":"https:\/\/www.vrtulniky.sk\/news\/aerodynamicke-interakcie-numericka-a-experimentalna-validacia-interakcie-vrtul-a-ramien\/","title":{"rendered":"Aerodynamick\u00e9 interakcie: Numerick\u00e1 a experiment\u00e1lna valid\u00e1cia interakcie vrt\u00fa\u013e a ramien"},"content":{"rendered":"<h2>Preh\u013ead probl\u00e9mu: pre\u010do interakcia vrt\u00fa\u013e a ramien ur\u010duje v\u00fdkon multikopt\u00e9r<\/h2>\n<p>V multikopt\u00e9rach pr\u00fadenie z vrtule interaguje s bl\u00edzkou \u0161trukt\u00farou \u2013 najm\u00e4 s ramenami a krytmi motorov. Vznik\u00e1 t\u00fdm komplexn\u00e1 kombin\u00e1cia efektov: lok\u00e1lne odtrhnutia, zosilnenie v\u00edrov, periodick\u00e9 tlaky a zmeny indukovanej r\u00fdchlosti, ktor\u00e9 priamo ovplyv\u0148uj\u00fa <em>\u0165ah<\/em>, <em>\u00fa\u010dinnos\u0165<\/em> a <em>hluk<\/em>. Ke\u010f\u017ee typick\u00e1 vzdialenos\u0165 hrany ramena od koncov vrtule je \u010dasto &lt; 0,2\u20130,35R (R = polomer vrtule), ide o z\u00f3nu silnej aerodynamickej interakcie, kde line\u00e1rne aproxim\u00e1cie zlyh\u00e1vaj\u00fa a je nutn\u00e1 kombin\u00e1cia <strong>CFD simul\u00e1ci\u00ed<\/strong> a <strong>valid\u00e1cie v aerodynamickom tuneli<\/strong>.<\/p>\n<h2>Z\u00e1kladn\u00e9 bezrozmern\u00e9 ukazovatele a defin\u00edcie<\/h2>\n<ul>\n<li><strong>Koeficient \u0165ahu:<\/strong> <code>C<sub>T<\/sub> = T \/ (\\u03C1 n^2 D^4)<\/code>, kde <em>T<\/em> je \u0165ah, <em>\\u03C1<\/em> hustota, <em>n<\/em> ot\u00e1\u010dky [1\/s], <em>D<\/em> priemer vrtule.<\/li>\n<li><strong>Koeficient v\u00fdkonu:<\/strong> <code>C<sub>P<\/sub> = P \/ (\\u03C1 n^3 D^5)<\/code>.<\/li>\n<li><strong>\u010cinite\u013e indukovan\u00e9ho \u010d\u00edsla:<\/strong> <code>\\u03BB = v<sub>i<\/sub> \/ (n D)<\/code> pre visenie; <em>v<sub>i<\/sub><\/em> je indukovan\u00e1 r\u00fdchlos\u0165.<\/li>\n<li><strong>Sol\u00eddnos\u0165 (solidity):<\/strong> <code>\\u03C3 = B c \/ (\\u03C0 R)<\/code> (B = po\u010det listov, c = priemern\u00e1 chord).<\/li>\n<li><strong>Advance ratio (dopredn\u00fd let):<\/strong> <code>J = V \/ (n D)<\/code>; pre visenie je J \u2248 0, v re\u00e1lnom lete J \u2248 0,1\u20130,6.<\/li>\n<\/ul>\n<h2>Mechanizmy interakcie: ak\u00e9 javy h\u013eada\u0165<\/h2>\n<ul>\n<li><strong>Clipped inflow<\/strong>: rameno preru\u0161uje pr\u00edtok ku kore\u0148u listu; vznik\u00e1 asymetria za\u0165a\u017eenia a pokles lok\u00e1lneho C<sub>l<\/sub>.<\/li>\n<li><strong>Tip-vortex &amp; arm impingement<\/strong>: \u0161pi\u010dkov\u00e9 v\u00edry periodicky nar\u00e1\u017eaj\u00fa na hrany ramena \u2192 tlakov\u00e9 pulz\u00e1cie, hlukov\u00e9 t\u00f3ny.<\/li>\n<li><strong>Wake re-ingestion<\/strong>: \u0161\u00edrenie pr\u00fadu od horn\u00fdch vrt\u00fa\u013e na doln\u00e9 (pri koaxi\u00e1lnych\/stacked usporiadaniach) a sp\u00e4tn\u00e9 nas\u00e1vanie okolo ramien.<\/li>\n<li><strong>Bluff-body shedding<\/strong>: pri hranatej geometrii ramena (Re ~ 10<sup>5<\/sup>\u201310<sup>6<\/sup>) vznik\u00e1 K\u00e1rm\u00e1nova uli\u010dka, ktor\u00e1 interaguje so \u0161mykov\u00fdmi vrstvami listov.<\/li>\n<li><strong>Swirl &amp; kontra-rot\u00e1cia<\/strong>: rotuj\u00faci pr\u00fad modifikuje uhol n\u00e1behu downstream vrtule\/ramena; protirot\u00e1cia redukuje netto swirl, ale men\u00ed spektrum tlakov\u00fdch fluktu\u00e1ci\u00ed.<\/li>\n<\/ul>\n<h2>CFD pr\u00edstup: v\u00fdber modelu, dom\u00e9ny a gridu<\/h2>\n<ul>\n<li><strong>Geometria a varianty:<\/strong> parametrize rameno (profil kruh\/ov\u00e1l\/airfoil-like), hrany (r\u00e1dius\/zkosenie), vzdialenos\u0165 od roviny rot\u00e1cie (<em>z\/R<\/em>), vysunutie ramena od osi (<em>r\/R<\/em>), kryt motora (nacelle), str\u00e1\u017eny kruh (duct\/guard).<\/li>\n<li><strong>Rot\u00e1cia listov:<\/strong>\n<ul>\n<li><em>MRF (Multiple Reference Frame)<\/em>: r\u00fdchla stacion\u00e1rna aproxim\u00e1cia pre screening.<\/li>\n<li><em>Sliding Mesh \/ Overset<\/em>: \u010dasovo presn\u00e9 rie\u0161enie interakcie s ramenom, zachyt\u00e1va periodick\u00e9 deje (doporu\u010den\u00e9 pre valid\u00e1ciu).<\/li>\n<\/ul>\n<\/li>\n<li><strong>Turbulen\u010dn\u00e9 modely:<\/strong> k-\u03c9 SST pre RANS baseline; DES\/DDES alebo (S)LES pre zachytenie \u0161pi\u010dkov\u00fdch v\u00edrov a interak\u010dn\u00e9ho spektra. Pri (S)LES cie\u013ete <em>y<sup>+<\/sup> \u2248 1\u20132<\/em> na listoch a ramen\u00e1ch; pri RANS sta\u010d\u00ed <em>y<sup>+<\/sup> \u2248 30\u2013100<\/em> s wall functions, no hroz\u00ed podmodelovanie odtrhnut\u00ed.<\/li>\n<li><strong>Dom\u00e9na a okrajov\u00e9 podmienky:<\/strong> hranice minim\u00e1lne 5\u201310D od vrtule; <em>inlet<\/em> s uniformn\u00fdm alebo profilovan\u00fdm pr\u00fadom (pre forward flight), <em>outlet<\/em> s p=0; steny ramien a listov no-slip; rot\u00e1cia zadan\u00e1 cez RPM.<\/li>\n<li><strong>Diskretiz\u00e1cia a \u010dasovanie:<\/strong> pre sliding mesh zvo\u013ete krok <em>\u0394\u03b8<\/em> \u2248 1\u20133\u00b0 na krok; konvergencia hodnoten\u00e1 na periodickej stacionarite (CT, CP) cez 3\u20135 ot\u00e1\u010dok.<\/li>\n<li><strong>Grid:<\/strong> hexa\/prism vrstvy na listoch (20\u201330 pr\u00fadov\u00fdch vrstiev), lok\u00e1lne zjemnenie okolo \u0161pi\u010diek a hr\u00e1n ramena; celkom 30\u201380 mil. buniek pre detailn\u00e9 LES jedn\u00e9ho rotora s ramenom.<\/li>\n<\/ul>\n<h2>Metodika setupu: krok-za-krokom<\/h2>\n<ol>\n<li><strong>Izolovan\u00fd rotor (baseline):<\/strong> vytvorte CT\u2013RPM\u2013P mapu v MRF; validujte proti dostupn\u00fdm datasheetom alebo jednoduch\u00e9mu \u0165ahomern\u00e9mu stojanu.<\/li>\n<li><strong>Pridanie ramena:<\/strong> najprv stacion\u00e1rny MRF pre 5\u201310 variant r\u00fary\/profilu a polohy; vyberte top 2\u20133 rie\u0161enia.<\/li>\n<li><strong>\u010casovo presn\u00fd model:<\/strong> sliding mesh pre vybran\u00e9 varianty; analyzujte spektrum tlaku na ramen\u00e1ch a listoch (FFT).<\/li>\n<li><strong>Parametrick\u00e1 \u0161t\u00fadia:<\/strong> <em>z\/R<\/em> \u2208 [\u22120,3; +0,3], <em>r\/R<\/em> \u2208 [0,6; 0,95], t\/Ramena \u2208 [0,03; 0,12], hrana = {sharp, chamfer, fillet R\/t \u2208 [0,2; 1,5]}.<\/li>\n<li><strong>Forward flight:<\/strong> nastavte J = 0,2\u20130,4 a uhol n\u00e1klonu 5\u201315\u00b0, sledujte posun v\u00edrov a crossflow na ramen\u00e1ch.<\/li>\n<\/ol>\n<h2>Valid\u00e1cia v aerodynamickom tuneli: n\u00e1vrh experimentu<\/h2>\n<ul>\n<li><strong>Konfigur\u00e1cia:<\/strong> mont\u00e1\u017e rotora a ramena v mierke 1:1 alebo 1:2 na <em>n\u00e1boji<\/em> s minim\u00e1lnym zasahovan\u00edm dr\u017eiaka (sting\/balance). Zabezpe\u010dte rovnak\u00e9 RPM a geometriu ako v CFD.<\/li>\n<li><strong>Merania:<\/strong>\n<ul>\n<li>6-komponentn\u00e1 v\u00e1ha (\u0165ah, kr\u00fatiaci moment, bo\u010dn\u00e9 sily) \u2192 CT a CP.<\/li>\n<li>Pitot\/rake alebo PIV v rovine 0,1\u20130,3D pod rotormi \u2192 profil indukovan\u00fdch r\u00fdchlost\u00ed.<\/li>\n<li>Tlakov\u00e9 sn\u00edma\u010de na hran\u00e1ch ramena (rozstup 0,05\u20130,1D) \u2192 tlakov\u00e9 pulz\u00e1cie a dominantn\u00e9 frekvencie.<\/li>\n<li>Mikrof\u00f3nov\u00e9 pole (akustika) \u2192 tonalita na <em>BPF<\/em> (blade-passing frequency) a jej harmonik\u00e1ch.<\/li>\n<\/ul>\n<\/li>\n<li><strong>Protokol:<\/strong> pre ka\u017ed\u00fd variant 3 opakovania, 5 \u00farovn\u00ed RPM (napr. 2000\u20135000 rpm), logovanie teploty a tlaku (korekt\u00edvna hustota).<\/li>\n<li><strong>Korekcie tunela:<\/strong> korekcia blok\u00e1\u017ee (&lt; 5 % ide\u00e1l), interference so stojanom; pre otvoren\u00e9 testovacie sekcie ustr\u00e1\u017ete recirkul\u00e1ciu.<\/li>\n<\/li>\n<\/ul>\n<h2>Porovn\u00e1vanie CFD a tunelov\u00fdch d\u00e1t: metriky a tolerancie<\/h2>\n<ul>\n<li><strong>Prim\u00e1rne:<\/strong> \u0394C<sub>T<\/sub> a \u0394C<sub>P<\/sub> oproti baseline rotor-only; cie\u013e \u00b13\u20135 % pre RANS, \u00b12\u20133 % pre LES v priemern\u00fdch hodnot\u00e1ch.<\/li>\n<li><strong>Spektr\u00e1:<\/strong> porovnajte hlavn\u00fd p\u00edk na BPF = B\u00b7RPM\/60 a 1\u00d7\u20134\u00d7 harmoniky; tolerancia \u00b15 % vo frekvencii, \u00b12 dB v SPL pre relat\u00edvne porovnania.<\/li>\n<li><strong>Pr\u00fadnice\/kinematika:<\/strong> PIV vs. CFD \u2013 RMSE indukovanej r\u00fdchlosti v rovine pod rotorom &lt; 10 % maxima.<\/li>\n<li><strong>Neistota merania:<\/strong> vyhodno\u0165te pod\u013ea ASME PTC 19.1 \u2013 kombinovan\u00e1 \u0161tandardn\u00e1 neistota cie\u013eovo &lt; 1,5 % pre \u0165ah a &lt; 2,5 % pre moment.<\/li>\n<\/ul>\n<h2>V\u00fdsledky typick\u00fdch \u0161t\u00fadi\u00ed: \u010do sa zvy\u010dajne potvrd\u00ed<\/h2>\n<ul>\n<li><strong>Vplyv vzdialenosti ramena od roviny rot\u00e1cie (z\/R):<\/strong> posun ramena <em>pod<\/em> rovinu rotora o 0,1\u20130,2R redukuje interak\u010dn\u00e9 straty CT o 1\u20133 p.b. v porovnan\u00ed s nulovou vzdialenos\u0165ou.<\/li>\n<li><strong>\u0160t\u00edhlej\u0161ie, zaoblen\u00e9 ramen\u00e1:<\/strong> t\/D \u2264 0,06 a fillet R\/t \u2265 0,5 zni\u017euj\u00fa pulz\u00e1cie tlaku na 0,6\u20130,8\u00d7 oproti hranat\u00fdm profilom.<\/li>\n<li><strong>Fairing pred hranou ramena (leading-edge cap):<\/strong> redukcia CP o 2\u20134 % pri zachovan\u00ed CT (t. j. vy\u0161\u0161\u00ed \u201efigure of merit\u201d).<\/li>\n<li><strong>Kontrarot\u00e1cia susedn\u00fdch vrt\u00fa\u013e:<\/strong> vyrovn\u00e1va swirl, zlep\u0161uje rovnomernos\u0165 indukcie, ale m\u00f4\u017ee prida\u0165 sekund\u00e1rne p\u00edky v akustike \u2013 kompromis pod\u013ea priority (\u00fa\u010dinnos\u0165 vs. hluk).<\/li>\n<\/ul>\n<h2>Akustika: interak\u010dn\u00fd hluk a ako ho modelova\u0165<\/h2>\n<ul>\n<li><strong>CAA workflow:<\/strong> CFD (\u010dasovo presn\u00e9 tlaky) \u2192 akustick\u00e1 anal\u00fdza (Ffowcs Williams\u2013Hawkings \/ integraln\u00e1 formul\u00e1cia) \u2192 mapy vy\u017earovania.<\/li>\n<li><strong>Dominantn\u00fd zdroj:<\/strong> rozptyl \u0161pi\u010dkov\u00fdch v\u00edrov na hran\u00e1ch ramena; sekund\u00e1rne odtrhnutia na ramene pri doprednom lete.<\/li>\n<li><strong>Zn\u00ed\u017eenie:<\/strong> pribl\u00ed\u017eenie ramena k \u201etichej z\u00f3ne\u201d medzi listami (phase alignment), zaoblenie hr\u00e1n, mikro-z\u00fabky na trailing edge vrtule (serrations) \u2013 testova\u0165 pod\u013ea spektra.<\/li>\n<\/ul>\n<h2>Odpor\u00fa\u010dania pre n\u00e1vrh ramena a rozmiestnenie vrt\u00fa\u013e<\/h2>\n<ul>\n<li><strong>Poloha ramena:<\/strong> z\/R = \u22120,1 a\u017e \u22120,2 (rameno mierne pod rovinou rotora); r\/R \u2248 0,75\u20130,85, aby sa minimalizovalo impingement \u0161pi\u010dkov\u00e9ho v\u00edru.<\/li>\n<li><strong>Prierez ramena:<\/strong> eliptick\u00fd alebo plytk\u00fd airfoil-like (t\/c \u2248 0,12\u20130,16), s plynul\u00fdm n\u00e1behom; vyhnite sa ostr\u00fdm hran\u00e1m a kvadratick\u00fdm profilom.<\/li>\n<li><strong>Fillet a prechody:<\/strong> ve\u013ekorys\u00e9 r\u00e1diusy na napojen\u00ed na motorov\u00fd dr\u017eiak a trup; R\/t \u2265 0,5.<\/li>\n<li><strong>Guard\/duct:<\/strong> ak sa pou\u017eije, zabezpe\u010dte dostato\u010dn\u00fa v\u00f4\u013eu (tip clearance) 1,5\u20133 % D a plynul\u00fd vstupn\u00fd n\u00e1beh; inak hroz\u00ed pokles CT.<\/li>\n<li><strong>Konfigur\u00e1cia rot\u00e1cie:<\/strong> susedn\u00e9 vrtule v kontra-rot\u00e1cii; pre X-frame zv\u00e1\u017ete f\u00e1zovanie listov tak, aby sa BPF p\u00edky nes\u010d\u00edtali.<\/li>\n<\/ul>\n<h2>Pr\u00edklad paramatrick\u00e9ho CFD porovnania (v\u00fdstupov\u00e9 tabu\u013eky)<\/h2>\n<table>\n<thead>\n<tr>\n<th>Variant<\/th>\n<th>Prierez ramena<\/th>\n<th>z\/R<\/th>\n<th>\u0394C<sub>T<\/sub> vs. rotor-only<\/th>\n<th>\u0394C<sub>P<\/sub> vs. rotor-only<\/th>\n<th>Rel. SPL @BPF<\/th>\n<th>Pozn\u00e1mka<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>A<\/td>\n<td>kvadratick\u00fd, ostr\u00e9 hrany<\/td>\n<td>0,00<\/td>\n<td>\u22120,040<\/td>\n<td>+0,025<\/td>\n<td>+4 dB<\/td>\n<td>Siln\u00e9 impingement<\/td>\n<\/tr>\n<tr>\n<td>B<\/td>\n<td>elipsa t\/c=0,14<\/td>\n<td>\u22120,15<\/td>\n<td>\u22120,012<\/td>\n<td>+0,006<\/td>\n<td>+1 dB<\/td>\n<td>Komfortn\u00fd kompromis<\/td>\n<\/tr>\n<tr>\n<td>C<\/td>\n<td>airfoil-like + fillet R\/t=1,0<\/td>\n<td>\u22120,20<\/td>\n<td>\u22120,006<\/td>\n<td>+0,002<\/td>\n<td>0 dB<\/td>\n<td>Najlep\u0161\u00ed FoM<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Checklist pre CFD\u2013tunelov\u00fd program<\/h2>\n<ul>\n<li>Definova\u0165 <strong>baseline rotor-only<\/strong> (CT, CP) a testovacie RPM\/J.<\/li>\n<li>Parametrizova\u0165 <strong>geometriu ramena<\/strong> a <strong>polohu<\/strong> (z\/R, r\/R, fillet).<\/li>\n<li>Spusti\u0165 <strong>MRF screening<\/strong> \u2192 top 3 varianty.<\/li>\n<li>Pre top varianty <strong>sliding mesh<\/strong> s konvergenciou za 3\u20135 ot\u00e1\u010dok.<\/li>\n<li>Navrhn\u00fa\u0165 <strong>tunelov\u00fd test<\/strong> (v\u00e1ha, PIV\/mikrof\u00f3ny, tlakov\u00e9 sn\u00edma\u010de) s korekciami blok\u00e1\u017ee.<\/li>\n<li>Vyhodnoti\u0165 <strong>\u0394CT, \u0394CP, spektrum @BPF<\/strong>, RMSE pr\u00fadenia; skompletizova\u0165 neistoty.<\/li>\n<li>Iterova\u0165 geometriu (fillet, leading-edge cap, z\/R) a potvrdi\u0165 zlep\u0161enia \u2265 1\u20132 p.b. v CT\/CP alebo \u22122 dB SPL.<\/li>\n<\/ul>\n<h2>Typick\u00e9 chyby a ako sa im vyhn\u00fa\u0165<\/h2>\n<ul>\n<li><strong>Mal\u00e1 dom\u00e9na CFD:<\/strong> pr\u00edli\u0161 bl\u00edzke hranice falo\u0161ne tlmia v\u00edry \u2192 nadhodnotenie CT.<\/li>\n<li><strong>Nedostato\u010dn\u00fd \u010dasov\u00fd krok:<\/strong> aliasing BPF \u2192 nepresn\u00e9 spektr\u00e1 a pulz\u00e1cie momentu.<\/li>\n<li><strong>Ignorovanie tunelov\u00fdch korekci\u00ed:<\/strong> bez blok\u00e1\u017ee\/interference korekci\u00ed s\u00fa \u0394CT v r\u00e1de percent zav\u00e1dzaj\u00face.<\/li>\n<li><strong>Nezladen\u00e9 RPM a nap\u00e1janie:<\/strong> pri elektrick\u00fdch pohonoch sa men\u00ed kr\u00fatiaci moment s teplotou; stabilizujte nap\u00e4tie a logujte teplotu vinutia.<\/li>\n<\/ul>\n<h2>Roz\u0161\u00edrenia: dopredn\u00fd let, pozemn\u00fd efekt a viacrotorov\u00e1 interakcia<\/h2>\n<ul>\n<li><strong>Dopredn\u00fd let (J&gt;0):<\/strong> bo\u010dn\u00fd n\u00e1fuk zvy\u0161uje asymetriu za\u0165a\u017eenia listov; rameno na n\u00e1veternnej strane m\u00e1 v\u00e4\u010d\u0161\u00ed vplyv \u2013 testova\u0165 v uhloch n\u00e1klonu 5\u201315\u00b0.<\/li>\n<li><strong>Pozemn\u00fd efekt:<\/strong> pri h\/R&lt;1,0 narast\u00e1 CT, ale interakcie s ramenom m\u00f4\u017eu zv\u00fd\u0161i\u0165 lateral forces \u2013 d\u00f4le\u017eit\u00e9 pre prist\u00e1tie.<\/li>\n<li><strong>Viac rotorov:<\/strong> vz\u00e1jomn\u00e9 wake\u2013wake v\u00e4zby; CFD s viacn\u00e1sobn\u00fdmi prekr\u00fdvaj\u00facimi mrie\u017ekami; tunel s modul\u00e1rnou stavbou pre 2\u20134 rotory.<\/li>\n<\/ul>\n<h2>Integrovan\u00fd n\u00e1vrh prin\u00e1\u0161a merate\u013en\u00fa v\u00fdhodu<\/h2>\n<p>Kombin\u00e1cia dobre kalibrovan\u00e9ho CFD (MRF \u2192 sliding mesh\/LES) a disciplinovanej valid\u00e1cie v tuneli umo\u017e\u0148uje identifikova\u0165 geometriu ramien a polohu rotorov, ktor\u00e1 <strong>minimalizuje straty \u0165ahu<\/strong>, <strong>zvy\u0161uje \u00fa\u010dinnos\u0165<\/strong> a <strong>zni\u017euje interak\u010dn\u00fd hluk<\/strong>. Pri dodr\u017ean\u00ed odpor\u00fa\u010dan\u00ed (z\/R mierne z\u00e1porn\u00e9, zaoblen\u00e9 profily, ve\u013ekorys\u00e9 fillet, koordin\u00e1cia rot\u00e1cie) je realistick\u00e9 dosiahnu\u0165 zlep\u0161enie <em>figure of merit<\/em> o 2\u20135 p.b. bez z\u00e1sahu do elektrickej architekt\u00fary. K\u013e\u00fa\u010dov\u00e1 je reprodukovate\u013enos\u0165: rovnak\u00e9 RPM, rovnak\u00e9 geometrie, jasn\u00e1 metrika a kvantifikovan\u00e1 neistota \u2013 iba tak m\u00e1 CFD\u2013tunelov\u00fd cyklus skuto\u010dn\u00fa in\u017einiersku hodnotu.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pr\u00fadenie okolo ramien zni\u017euje \u00fa\u010dinnos\u0165 vrt\u00fa\u013e. CFD a tunelov\u00e1 valid\u00e1cia odhalia v\u00edry, \u00fapravy geometrie a tlmenie zlep\u0161ia stabilitu aj spotrebu.<\/p>\n","protected":false},"author":46,"featured_media":88630,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2629],"tags":[2151,2152,734,2153,2154,2082,2155,2156],"class_list":["post-48630","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-drony","tag-cfd","tag-interakcie-vrtul-a-ramien","tag-meranie","tag-odtrh","tag-tienovanie","tag-tlmenie","tag-uprava-geometrie","tag-viry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Aerodynamick\u00e9 interakcie: Numerick\u00e1 a experiment\u00e1lna valid\u00e1cia interakcie vrt\u00fa\u013e a ramien - Podnik\u00e1m, lietam a relaxujem<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.vrtulniky.sk\/news\/aerodynamicke-interakcie-numericka-a-experimentalna-validacia-interakcie-vrtul-a-ramien\/\" \/>\n<meta property=\"og:locale\" content=\"sk_SK\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Aerodynamick\u00e9 interakcie: Numerick\u00e1 a experiment\u00e1lna valid\u00e1cia interakcie vrt\u00fa\u013e a ramien - Podnik\u00e1m, lietam a relaxujem\" \/>\n<meta property=\"og:description\" content=\"Pr\u00fadenie okolo ramien zni\u017euje \u00fa\u010dinnos\u0165 vrt\u00fa\u013e. 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