{"id":23209,"date":"2025-10-26T11:08:08","date_gmt":"2025-10-26T11:08:08","guid":{"rendered":"https:\/\/aerospacerepository.org\/?p=23209"},"modified":"2025-10-26T11:08:09","modified_gmt":"2025-10-26T11:08:09","slug":"on-shock-layer-linear-instabilities","status":"publish","type":"post","link":"https:\/\/aerospacerepository.org\/index.php\/2025\/10\/26\/on-shock-layer-linear-instabilities\/","title":{"rendered":"On shock layer linear instabilities"},"content":{"rendered":"\n<p><strong>Vassilis THEOFILIS<\/strong><\/p>\n\n\n\n<p><strong>DOI Number: N\/A<\/strong><\/p>\n\n\n\n<p><strong>Conference number: HiSST-2025-058<\/strong><\/p>\n\n\n\n<p>While accurate description of the internal structure of strong shock layers is beyond the scope of the Navier-Stokes equations [9, 15, 4, 2], continuum equations may be used to describe weak shock layers at low Mach numbers. The present contribution extends the steady laminar base flow model of Gilbarg and Paolucci <a href=\"GP\">7<\/a> and the two-dimensional modal linear stability analysis Duck and Balakumar [6] by incorporating nonzero transverse and lateral shock velocity components. In line with earlier predictions, analysis of the GP base flow model did not reveal discrete eigenvalues or unstable members of the continuous spectrum. Three-dimensional perturbations were found to be stronger damped than their<br>2d counterparts, while less damped continuous branches are generated as the disturbance wavelength increases. Amplitude functions of the least damped perturbations exhibit a damped oscillatory nature toward the hot side of the shock. Non-modal linear stability and receptivity analyses are underway.<\/p>\n\n\n\n<p><a href=\"https:\/\/aerospacerepository.org\/wp-content\/uploads\/2025\/10\/HISST2025_58_paper.pdf\">Read the full paper here<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p><b>Vassilis THEOFILIS<\/b><\/p>\n<p>DOI Number: N\/A<\/p>\n<p>Conference number: HiSST-2025-058<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[993,3361,3370],"tags":[3717,3719,3718],"class_list":["post-23209","post","type-post","status-publish","format-standard","hentry","category-events","category-1-hisst-2025","category-hypersonic-fundamentals-history","tag-continuum","tag-linear-stability","tag-shock-layer","category-993","category-3361","category-3370","description-off"],"_links":{"self":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/23209","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=23209"}],"version-history":[{"count":1,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/23209\/revisions"}],"predecessor-version":[{"id":23211,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/23209\/revisions\/23211"}],"wp:attachment":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/media?parent=23209"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/categories?post=23209"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/tags?post=23209"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}