{"id":958,"date":"2020-05-09T14:30:30","date_gmt":"2020-05-09T19:30:30","guid":{"rendered":"https:\/\/charles-oneill.com\/blog\/?p=958"},"modified":"2020-05-09T15:03:22","modified_gmt":"2020-05-09T20:03:22","slug":"power-induced-dihedral","status":"publish","type":"post","link":"https:\/\/charles-oneill.com\/blog\/power-induced-dihedral\/","title":{"rendered":"Power Induced Dihedral"},"content":{"rendered":"\n<p>I recently received a question about the effects of propeller thrust on aircraft stability and control (S&amp;C). Within the aircraft design community, we know that power effects to S&amp;C can be a significant engineering effort. Often, the quantification of these effects requires a powered wind tunnel test with a commensurate pricetag. With in the pilot community, we know that power -and especially propwash- significantly impacts (pun intended) the tail&#8217;s aerodynamic control power. There are jet aircraft (ex. YC-14, AV-8) using jet exhaust to provide lift and other reactions.<\/p>\n\n\n\n<p>One interesting historical case of a power induced dihedral is the Martin 2-0-2 prototype from the late 1940s. First, let&#8217;s discuss the theory. For a twin engine propeller aircraft, the natural design configuration is mounting the engines on nacelles mid-span and in front of the wing. <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"121\" src=\"https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/05\/power-induced-dihedral-image-300x121.png\" alt=\"\" class=\"wp-image-970\" srcset=\"https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/05\/power-induced-dihedral-image-300x121.png 300w, https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/05\/power-induced-dihedral-image.png 473w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/figure><\/div>\n\n\n\n<p>We also know that the propwash has a higher dynamic pressure resulting from the increased flow velocity. The propwash during a sideslip is thus non-symmetric across the wing panels (i.e. more outboard on the downwind panel and more inboard on the upwind panel). The asymmetric flow pattern will induce a roll moment into the sideslip. We call this an anhedral effect (i.e. a positive C_L_beta), which is usually detrimental to the aircraft&#8217;s flight dynamics.<\/p>\n\n\n\n<p>In the Martin 2-0-2 design, the prototype encountered S&amp;C problems during flight tests.  The solution was to considerably increase dihedral in the outer wing panels. This wing joint would later become a fatigue problem (<a href=\"https:\/\/aviation-safety.net\/database\/record.php?id=19480829-0&amp;lang=en\" target=\"_blank\" rel=\"noreferrer noopener\">https:\/\/aviation-safety.net\/database\/record.php?id=19480829-0&amp;lang=en<\/a>) corrected with the 2-0-2A. Overall the aircraft was not known as a success. <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"900\" height=\"577\" src=\"https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/05\/Martin_2-0-2_4563917854.jpg\" alt=\"\" class=\"wp-image-969\" srcset=\"https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/05\/Martin_2-0-2_4563917854.jpg 900w, https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/05\/Martin_2-0-2_4563917854-300x192.jpg 300w, https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/05\/Martin_2-0-2_4563917854-768x492.jpg 768w, https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/05\/Martin_2-0-2_4563917854-800x513.jpg 800w\" sizes=\"(max-width: 900px) 100vw, 900px\" \/><figcaption>Martin 2-0-2 Production Aircraft<br>             By Bill Larkins &#8211; Martin 2-0-2, CC BY-SA 2.0<\/figcaption><\/figure><\/div>\n\n\n\n<p>A derivation of power induced dihedral is shown below. Notice that the magnitude depends on the angle of attack; the effect is worst at low speeds with high power settings.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"791\" height=\"1024\" src=\"https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/04\/image-6-791x1024.png\" alt=\"\" class=\"wp-image-959\" srcset=\"https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/04\/image-6-791x1024.png 791w, https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/04\/image-6-232x300.png 232w, https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/04\/image-6-768x994.png 768w, https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/04\/image-6-1187x1536.png 1187w, https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/04\/image-6-1583x2048.png 1583w, https:\/\/charles-oneill.com\/blog\/wp-content\/uploads\/2020\/04\/image-6-618x800.png 618w\" sizes=\"(max-width: 791px) 100vw, 791px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>I recently received a question about the effects of propeller thrust on aircraft stability and control (S&amp;C). Within the aircraft design community, we know that power effects to S&amp;C can be a significant engineering effort. Often, the quantification of these effects requires a powered wind tunnel test with a commensurate pricetag. With in the pilot [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts\/958"}],"collection":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/comments?post=958"}],"version-history":[{"count":4,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts\/958\/revisions"}],"predecessor-version":[{"id":977,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/posts\/958\/revisions\/977"}],"wp:attachment":[{"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/media?parent=958"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/categories?post=958"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/charles-oneill.com\/blog\/wp-json\/wp\/v2\/tags?post=958"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}