{"id":167,"date":"2016-08-06T16:09:10","date_gmt":"2016-08-06T20:09:10","guid":{"rendered":"https:\/\/1409.mae.ncsu.edu\/cfd\/?page_id=167"},"modified":"2016-08-06T16:23:50","modified_gmt":"2016-08-06T20:23:50","slug":"multi-phase-flows","status":"publish","type":"page","link":"https:\/\/mae.ncsu.edu\/cfd\/multi-phase-flows\/","title":{"rendered":"Multi-Phase Flows"},"content":{"rendered":"<p>The AECFDL&#8217;s work in multi-phase flow simulation spans a wide range of applications. The key step underpinning this activity was the development of novel low-diffusion upwinding methods valid for real fluids at all speeds in the late 1990s. Several (semi)-production-level codes were developed from this basis, including specialized algorithms (and physical models) for simulating reactive gas-solid flows in circulating fluidized bed reactors and water cavitation induced during projectile penetration. Another focal point has been the simulation of supercritical fluids undergoing rapid expansion. In initial applications, the working fluid was supercritical carbon dioxide, and the intent of the studies was to predict the nucleation and growth of a polymeric secondary phase dissolved in the supercritical fluid. This work was later extended to model phase transitions occurring in the injection of supercritical ethylene \/methane mixtures. Nucleation \/ growth sub-models developed during these efforts have been leveraged by the U.S. Air Force to predict the effects of water condensation in hypersonic wind tunnels. Specialized algorithms for ensuring sharp capturing of phase interfaces have been developed and used to simulate primary breakup of liquid jets during air-assisted atomization and pressure-swirl atomization.<\/p>\n<h3>Images<\/h3>\n<hr \/>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" src=\"https:\/\/mae.ncsu.edu\/cfd\/wp-content\/uploads\/sites\/4\/2016\/06\/gasinjection.jpg\" alt=\"gasinjection\" width=\"345\" height=\"391\" \/><br \/>\n<strong>Gas injection into a minimally-fluidized bed<\/strong><\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mae.ncsu.edu\/cfd\/wp-content\/uploads\/sites\/4\/2016\/06\/projectile.jpg\" alt=\"projectile\" width=\"638\" height=\"513\" \/><br \/>\n<strong>Supercavitating projectile in water<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mae.ncsu.edu\/cfd\/wp-content\/uploads\/sites\/4\/2016\/06\/dambreak.jpg\" alt=\"dambreak\" width=\"691\" height=\"430\" \/><br \/>\n<strong>Three-dimensional water-air &#8216;dam-break&#8217; problem<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mae.ncsu.edu\/cfd\/wp-content\/uploads\/sites\/4\/2016\/06\/volumefraction.jpg\" alt=\"volumefraction\" width=\"709\" height=\"513\" \/><br \/>\n<strong>Evolution of vapor volume fraction in an &#8216;in-out&#8217; aerated-liquid injector<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mae.ncsu.edu\/cfd\/wp-content\/uploads\/sites\/4\/2016\/06\/isocontours.jpg\" alt=\"isocontours\" width=\"591\" height=\"353\" \/><br \/>\n<strong>Iso-contours of gas-phase volume fraction (&#8216;out-in&#8217; aerated-liquid injector)<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mae.ncsu.edu\/cfd\/wp-content\/uploads\/sites\/4\/2016\/06\/nucleation.jpg\" alt=\"nucleation\" width=\"675\" height=\"835\" \/><br \/>\n<strong>Homogeneous nucleation of droplets during injection of supercritical ethylene<\/strong><\/p>\n<p>&nbsp;<\/p>\n<p style=\"text-align: center\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/mae.ncsu.edu\/cfd\/wp-content\/uploads\/sites\/4\/2016\/06\/jetstructure.jpg\" alt=\"jetstructure\" width=\"591\" height=\"142\" \/><br \/>\n<strong>Evolution of conical jet structure with increasing Reynolds number (left to right) during pressure-swirl atomization<\/strong><\/p>\n<p>&nbsp;<\/p>\n<h3>References<\/h3>\n<hr \/>\n<p>Edwards, Z.C., Edwards, J.R., Lin, K-C., and Carter, C. &#8220;Simulation of Supercritical Ethylene Condensation in Beryllium Injectors&#8221; AIAA Paper 2013-0893, January, 2013<\/p>\n<p>Robichaud, G., Dixon, R.B., Potturi, A.S., Cassidy, D., Edwards, J.R., Sohn, A., Dow, T.A., and Muddiman, D.C. &#8220;Design, Modeling, Fabrication, and Evaluation of the Air Amplifier for Improved Detection of Biomolecules by Electrospray Ionization Mass Spectrometry&#8221;, International Journal of Mass Spectrometry, Vol. 300, 2011, pp. 99-107<\/p>\n<p>Cassidy, D.A., Edwards, J.R., and Tian, M. &#8220;An Investigation of Interface-Sharpening Schemes for Multiphase Mixture Flows&#8221; Journal of Computational Physics, Vol. 228, No. 16, 2009, pp. 5628-5649.<\/p>\n<p>Star, A.M., Edwards, J.R., Lin, K.-C., Cox-Stouffer, S., and Jackson, T.A. &#8220;Numerical Simulation of Injection of Supercritical Ethylene into Nitrogen&#8221;, Journal of Propulsion and Power, Vol. 22, No. 6, July-August, 2006, pp. 809-819.<\/p>\n<p>Neaves, M.D. and Edwards, J.R. &#8220;All-Speed Time-Accurate Underwater Projectile Calculations using a Preconditioning Algorithm&#8221;, Journal of Fluids Engineering, Vol. 128, No. 2, 2006, pp. 284-296<\/p>\n<p>Mao, D., Edwards, J.R., Kuznetsov, A.V., and Srivastava, R.K. &#8220;Three Dimensional Simulation of a Circulating Fluidized Bed Reactor for Multi-Pollutant Control&#8221;, Chemical Engineering Science, Vol. 59, No. 20, 2004, pp. 4279-4287.<\/p>\n<p>Mao, D., Edwards, J.R., Kuznetsov, A.V., and Srivastava, R.K. &#8220;Development of Low-Diffusion Flux-Splitting Methods for Dense Gas-Solid Flows,&#8221; Journal of Computational Physics, Vol. 185, No. 1, 2003, pp. 100-119<\/p>\n<p>Franklin, R.K., Edwards, J.R., Chernyak, Y., Gould, R.D., Henon, F., and Carbonell, R.G. &#8220;Formation of Perfluoropolyether Coatings by the Rapid Expansion of Supercritical Solutions Process, Part 2: Numerical Modeling&#8221; Industrial and Engineering Chemistry Research, Vol. 40, No. 23, 2001, pp. 6127-6139.<\/p>\n<p>Edwards, J.R., Franklin, R.K, and Liou, M.-S., &#8220;Low-Diffusion Flux-Splitting Methods for Real Fluid Flows with Phase Transitions,&#8221; AIAA Journal, Vol. 38, No. 9, 2000, pp. 1624-1634<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The AECFDL&#8217;s work in multi-phase flow simulation spans a wide range of applications. The key step underpinning this activity was the development of novel low-diffusion upwinding methods valid for real&hellip;<\/p>\n","protected":false},"author":7,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"no-sidebar.php","meta":{"_acf_changed":false,"ncst_dynamicHeaderBlockName":"","ncst_dynamicHeaderData":"","ncst_content_audit_freq":"","ncst_content_audit_date":"","ncst_content_audit_display":false,"ncst_backToTopFlag":"","footnotes":""},"class_list":["post-167","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Multi-Phase Flows - Aerospace Engineering Computational Fluid Dynamics Laboratory<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mae.ncsu.edu\/cfd\/multi-phase-flows\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Multi-Phase Flows - Aerospace Engineering Computational Fluid Dynamics Laboratory\" \/>\n<meta property=\"og:description\" content=\"The AECFDL&#8217;s work in multi-phase flow simulation spans a wide range of applications. The key step underpinning this activity was the development of novel low-diffusion upwinding methods valid for real&hellip;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mae.ncsu.edu\/cfd\/multi-phase-flows\/\" \/>\n<meta property=\"og:site_name\" content=\"Aerospace Engineering Computational Fluid Dynamics Laboratory\" \/>\n<meta property=\"article:modified_time\" content=\"2016-08-06T20:23:50+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mae.ncsu.edu\/cfd\/wp-content\/uploads\/sites\/4\/2016\/06\/gasinjection.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/multi-phase-flows\\\/\",\"url\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/multi-phase-flows\\\/\",\"name\":\"Multi-Phase Flows - Aerospace Engineering Computational Fluid Dynamics Laboratory\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/multi-phase-flows\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/multi-phase-flows\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/wp-content\\\/uploads\\\/sites\\\/4\\\/2016\\\/06\\\/gasinjection.jpg\",\"datePublished\":\"2016-08-06T20:09:10+00:00\",\"dateModified\":\"2016-08-06T20:23:50+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/multi-phase-flows\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/multi-phase-flows\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/multi-phase-flows\\\/#primaryimage\",\"url\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/wp-content\\\/uploads\\\/sites\\\/4\\\/2016\\\/06\\\/gasinjection.jpg\",\"contentUrl\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/wp-content\\\/uploads\\\/sites\\\/4\\\/2016\\\/06\\\/gasinjection.jpg\",\"width\":345,\"height\":391},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/multi-phase-flows\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Multi-Phase Flows\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/#website\",\"url\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/\",\"name\":\"Aerospace Engineering Computational Fluid Dynamics Laboratory\",\"description\":\"The AECFDL conducts research in computational fluid dynamics, with an emphasis on the development of advanced physical models and algorithms suitable for conducting large-scale simulations of diverse fluid phenomena. \",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/mae.ncsu.edu\\\/cfd\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Multi-Phase Flows - Aerospace Engineering Computational Fluid Dynamics Laboratory","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/mae.ncsu.edu\/cfd\/multi-phase-flows\/","og_locale":"en_US","og_type":"article","og_title":"Multi-Phase Flows - Aerospace Engineering Computational Fluid Dynamics Laboratory","og_description":"The AECFDL&#8217;s work in multi-phase flow simulation spans a wide range of applications. The key step underpinning this activity was the development of novel low-diffusion upwinding methods valid for real&hellip;","og_url":"https:\/\/mae.ncsu.edu\/cfd\/multi-phase-flows\/","og_site_name":"Aerospace Engineering Computational Fluid Dynamics Laboratory","article_modified_time":"2016-08-06T20:23:50+00:00","og_image":[{"url":"https:\/\/mae.ncsu.edu\/cfd\/wp-content\/uploads\/sites\/4\/2016\/06\/gasinjection.jpg","type":"","width":"","height":""}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"3 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/mae.ncsu.edu\/cfd\/multi-phase-flows\/","url":"https:\/\/mae.ncsu.edu\/cfd\/multi-phase-flows\/","name":"Multi-Phase Flows - Aerospace Engineering Computational Fluid Dynamics Laboratory","isPartOf":{"@id":"https:\/\/mae.ncsu.edu\/cfd\/#website"},"primaryImageOfPage":{"@id":"https:\/\/mae.ncsu.edu\/cfd\/multi-phase-flows\/#primaryimage"},"image":{"@id":"https:\/\/mae.ncsu.edu\/cfd\/multi-phase-flows\/#primaryimage"},"thumbnailUrl":"https:\/\/mae.ncsu.edu\/cfd\/wp-content\/uploads\/sites\/4\/2016\/06\/gasinjection.jpg","datePublished":"2016-08-06T20:09:10+00:00","dateModified":"2016-08-06T20:23:50+00:00","breadcrumb":{"@id":"https:\/\/mae.ncsu.edu\/cfd\/multi-phase-flows\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/mae.ncsu.edu\/cfd\/multi-phase-flows\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/mae.ncsu.edu\/cfd\/multi-phase-flows\/#primaryimage","url":"https:\/\/mae.ncsu.edu\/cfd\/wp-content\/uploads\/sites\/4\/2016\/06\/gasinjection.jpg","contentUrl":"https:\/\/mae.ncsu.edu\/cfd\/wp-content\/uploads\/sites\/4\/2016\/06\/gasinjection.jpg","width":345,"height":391},{"@type":"BreadcrumbList","@id":"https:\/\/mae.ncsu.edu\/cfd\/multi-phase-flows\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/mae.ncsu.edu\/cfd\/"},{"@type":"ListItem","position":2,"name":"Multi-Phase Flows"}]},{"@type":"WebSite","@id":"https:\/\/mae.ncsu.edu\/cfd\/#website","url":"https:\/\/mae.ncsu.edu\/cfd\/","name":"Aerospace Engineering Computational Fluid Dynamics Laboratory","description":"The AECFDL conducts research in computational fluid dynamics, with an emphasis on the development of advanced physical models and algorithms suitable for conducting large-scale simulations of diverse fluid phenomena. ","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/mae.ncsu.edu\/cfd\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/mae.ncsu.edu\/cfd\/wp-json\/wp\/v2\/pages\/167","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mae.ncsu.edu\/cfd\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mae.ncsu.edu\/cfd\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mae.ncsu.edu\/cfd\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/mae.ncsu.edu\/cfd\/wp-json\/wp\/v2\/comments?post=167"}],"version-history":[{"count":5,"href":"https:\/\/mae.ncsu.edu\/cfd\/wp-json\/wp\/v2\/pages\/167\/revisions"}],"predecessor-version":[{"id":173,"href":"https:\/\/mae.ncsu.edu\/cfd\/wp-json\/wp\/v2\/pages\/167\/revisions\/173"}],"wp:attachment":[{"href":"https:\/\/mae.ncsu.edu\/cfd\/wp-json\/wp\/v2\/media?parent=167"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}