{"id":17065,"date":"2024-06-05T08:29:23","date_gmt":"2024-06-05T08:29:23","guid":{"rendered":"https:\/\/aerospacerepository.org\/?p=17065"},"modified":"2025-09-15T12:54:17","modified_gmt":"2025-09-15T12:54:17","slug":"modellings-of-steady-shock-reflection-with-chemical-heat-release-and-the-transition-criteria-between-regular-and-mach-reflections","status":"publish","type":"post","link":"https:\/\/aerospacerepository.org\/index.php\/2024\/06\/05\/modellings-of-steady-shock-reflection-with-chemical-heat-release-and-the-transition-criteria-between-regular-and-mach-reflections\/","title":{"rendered":"Modellings of Steady Shock Reflection with Chemical Heat Release and the Transition Criteria between Regular and Mach Reflections"},"content":{"rendered":"\n<p><strong>Haoyang LI, Zijian ZHANG, Chun WANG<\/strong><\/p>\n\n\n\n<p><strong>DOI Number: N\/A<\/strong><\/p>\n\n\n\n<p><strong>Conference number: HiSST-2024-208<\/strong><\/p>\n\n\n\n<p>This paper presents a pioneering shock-detonation reflection theory and solves the transition criteria to provide a valuable reference for future oblique detonation engine (ODE) design. Initially, we investigate the structure of the oblique detonation wave (ODW) when the deflection angle \u03b8 is less than \u03b8CJ. We note that the numerical results differ from the theoretical solution predicted by weak underdriven (WU) ODW. When \u03b8 &lt; \u03b8CJ, a Chapman-Jouguet (CJ) ODW followed by a Prandtl-Meyer isentropic expansion (P-M IE) wave is obtained. In light of this finding, we introduce a CJ + P-M IE theory to reconstruct the relationship between pressure p and \u03b8 for the segment of WU detonation polar. Together with the segment of overdriven detonation polar, a whole detonation polar is established. Then, we provide a shock-detonation reflection theory combining the traditional shock polar and the new detonation polar. By analyzing the steady regular reflection (RR) and Mach reflection (MR) structures, we found that the key flow field characteristics, such as the angle of the slip line and reflected ODW, corroborate well with the theory. This verifies the accuracy of shock-detonation reflection theory. Subsequently, we solve the detachment criterion and von Neumann (VN) criterion according to the shock-detonation reflection theory. There are two crucial threshold values: critical heat release QC and critical Mach number MC. When Q &lt; QC, the section of the WU ODW is not employed in the reflection theory. When M &lt; MC, the solution of the VN criterion will be absent. Finally, the transition criteria are verified by numerical simulation under two different heat release Q. The numerical detachment and VN angles are coincident with the theoretical ones. The computations can confirm that the shock-detonation reflection theory and transition criteria are correct in our study.<\/p>\n\n\n\n<p><a href=\"https:\/\/aerospacerepository.org\/wp-content\/uploads\/2024\/06\/HiSST-2024-208.pdf\">Read the full paper here<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p><b>Haoyang LI, Zijian ZHANG, Chun WANG<\/b><\/p>\n<p>DOI Number: N\/A<\/p>\n<p>Conference number: HiSST-2024-208<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[993,1407,1414],"tags":[492,1721,1722,1723],"class_list":["post-17065","post","type-post","status-publish","format-standard","hentry","category-events","category-11-hisst-2024","category-propulsion-systems-and-components-11-hisst-2024","tag-numerical-simulation","tag-prandtl-meyer-expansion-wave","tag-transition-criteria","tag-wave-reflection","category-993","category-1407","category-1414","description-off"],"_links":{"self":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/17065","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=17065"}],"version-history":[{"count":2,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/17065\/revisions"}],"predecessor-version":[{"id":20802,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/posts\/17065\/revisions\/20802"}],"wp:attachment":[{"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/media?parent=17065"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/categories?post=17065"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/aerospacerepository.org\/index.php\/wp-json\/wp\/v2\/tags?post=17065"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}