{"id":397631,"date":"2024-12-16T14:34:30","date_gmt":"2024-12-16T14:34:30","guid":{"rendered":"https:\/\/innovationspace.ansys.com\/forum\/forums\/topic\/mixture-fraction-of-bilger-definition\/"},"modified":"2024-12-16T14:34:30","modified_gmt":"2024-12-16T14:34:30","slug":"mixture-fraction-of-bilger-definition","status":"publish","type":"topic","link":"https:\/\/innovationspace.ansys.com\/forum\/forums\/topic\/mixture-fraction-of-bilger-definition\/","title":{"rendered":"Mixture fraction of Bilger definition"},"content":{"rendered":"<p>&lt;p&gt;I used the Bilger&#8217;s definition of mixture fraction to predict the coal combustion.&nbsp;&lt;\/p&gt;&lt;p&gt;the volatile formula of PRB coal is C1.16H3.4O0.71N0.0741.&lt;\/p&gt;&lt;p&gt;Since char combustion is a secondary factor to determine the coal flame, I only consider volatile flame here.&lt;\/p&gt;&lt;p&gt;volatile contains nitrogen element, which doesn&#8217;t affect the oxygen consumption; by referring Haifeng Wang 2023 &#8216;s work, in the coupling function, nitrogen item could be eliminated.&lt;\/p&gt;&lt;p&gt;so I can use eqn.&nbsp; 8.4-9 and 8.4-10.&lt;\/p&gt;&lt;p&gt;the mixture fraction result is not showing Boundedness [0,1], Monotonicity.&nbsp; But stoichiometry preservation (0.146) is close to the flame location.&lt;\/p&gt;&lt;p&gt;I assume this is due to the volatile release process. when using Eqn. 8.4-9, b_fuel &#8211; b_o = 2*Yc\/Mc +0.5Yh\/Mh+Yo\/Mo, in which Yc = 0.148, Yh= 0.0361 from volatile , Yo=0.23 from oxidizer.&lt;\/p&gt;&lt;p&gt;while for b, Yc is from the volatile in that cell, which is dependent upon the release process. I didn&#8217;t find any solution for coal combustion.&lt;\/p&gt;&lt;p&gt;how to make it right for coal combustion?&lt;\/p&gt;&lt;p&gt;Thank you.&lt;\/p&gt;&lt;p&gt;&nbsp;&lt;\/p&gt;&lt;p&gt;&nbsp;&lt;\/p&gt;&lt;p&gt;&nbsp;&lt;\/p&gt;&lt;p&gt;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2024\/12\/16-12-2024-1734358265-mceclip0.png\" width=\"1571\" height=\"476\" \/>&lt;\/p&gt;&lt;p&gt;<img decoding=\"async\" src=\"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2024\/12\/16-12-2024-1734358365-mceclip1.png\" \/>&lt;\/p&gt;&lt;p&gt;<img decoding=\"async\" src=\"https:\/\/innovationspace.ansys.com\/forum\/wp-content\/uploads\/sites\/2\/2024\/12\/16-12-2024-1734358871-mceclip2.png\" \/>&lt;\/p&gt;<\/p>\n","protected":false},"template":"","class_list":["post-397631","topic","type-topic","status-publish","hentry","topic-tag-2d_dpm-1","topic-tag-2d-axisymmetric","topic-tag-coal-combustion","topic-tag-mixture-of-gas","topic-tag-non-premixed-combustion","topic-tag-species-transport-model"],"aioseo_notices":[],"acf":[],"custom_fields":[{"0":{"_bbp_forum_id":["27792"],"_bbp_topic_id":["397631"],"_bbp_author_ip":["128.252.130.158"],"_bbp_last_reply_id":["397873"],"_bbp_last_active_id":["397873"],"_bbp_last_active_time":["2024-12-18 15:26:00"],"_bbp_reply_count":["1"],"_bbp_reply_count_hidden":["0"],"_bbp_voice_count":["2"],"_bbp_engagement":["27819","14415"],"_btv_view_count":["452"],"_bbp_topic_status":["unanswered"],"_bbp_subscription":["14415"]},"test":"ll00023mix-wvu-edu"}],"_links":{"self":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/topics\/397631","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/topics"}],"about":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/types\/topic"}],"version-history":[{"count":0,"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/topics\/397631\/revisions"}],"wp:attachment":[{"href":"https:\/\/innovationspace.ansys.com\/forum\/wp-json\/wp\/v2\/media?parent=397631"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}