{"id":18295,"date":"2024-11-18T09:09:46","date_gmt":"2024-11-18T09:09:46","guid":{"rendered":"https:\/\/aerospacerepository.org\/?p=18295"},"modified":"2024-11-18T09:09:47","modified_gmt":"2024-11-18T09:09:47","slug":"on-the-validity-range-of-piston-theory","status":"publish","type":"post","link":"https:\/\/aerospacerepository.org\/index.php\/2024\/11\/18\/on-the-validity-range-of-piston-theory\/","title":{"rendered":"ON THE VALIDITY RANGE OF PISTON THEORY"},"content":{"rendered":"\n<p><strong>Marius-Corne Meijer, Laurent Dala<\/strong><\/p>\n\n\n\n<p><strong>DOI Number: N\/A<\/strong><\/p>\n\n\n\n<p><strong>Conference number: IFASD-2015-004<\/strong><\/p>\n\n\n\n<p>The basis of linear piston theory in unsteady potential \ufb02ow is used in this work to develop a quantitative treatment of the validity range of piston theory. In the limit of steady \ufb02ow, velocity perturbations from Donov\u2019s series expansion for the supersonic \ufb02ow over an airfoil are used to assess the contributions of nonlinear terms relative to linear terms in the full perturbed potential equation. The range of Mach number and \ufb02ow turning angle for which linear terms dominate is put forward as the analytical validity range for linear piston theory as based in potential \ufb02ows. The range of validity of single-term nonlinear extensions to the linear potential equation into the transonic and hypersonic regions is treated. A brief review of the development of related aerodynamic methods for supersonic \ufb02ows which share a similar form with piston theory is given; where applicable, the piston theory coef\ufb01cients for the methods are given. The differences in the theoretical bases between the methods are highlighted. A discussion of the role of higher-order terms in piston theory and the validity limits of local piston theory is given.<\/p>\n\n\n\n<p><a href=\"https:\/\/aerospacerepository.org\/wp-content\/uploads\/2024\/11\/IFASD-2015-004.pdf\">Read the full paper here<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p><b>Marius-Corne Meijer, Laurent Dala<\/b><\/p>\n<p>DOI Number: N\/A<\/p>\n<p>Conference number: IFASD-2015-004<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2413,2416],"tags":[2466,2465,2464,2309,2467],"class_list":["post-18295","post","type-post","status-publish","format-standard","hentry","category-1-ifasd-2015","category-aerodynamics-cfd","tag-linearization","tag-local-piston-theory","tag-perturbation","tag-potential-ow","tag-quasi-steady","category-2413","category-2416","description-off"],"_links":{"self":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/18295","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/comments?post=18295"}],"version-history":[{"count":1,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/18295\/revisions"}],"predecessor-version":[{"id":18297,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/18295\/revisions\/18297"}],"wp:attachment":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/media?parent=18295"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/categories?post=18295"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/tags?post=18295"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}