{"id":4950,"date":"2012-04-02T05:31:00","date_gmt":"2012-04-02T05:31:00","guid":{"rendered":"http:\/\/thales.mit.edu\/bush\/?p=4950"},"modified":"2021-04-15T01:30:05","modified_gmt":"2021-04-15T01:30:05","slug":"a-quasi-static-model-of-drop-impact","status":"publish","type":"post","link":"https:\/\/thales.mit.edu\/bush\/index.php\/2012\/04\/02\/a-quasi-static-model-of-drop-impact\/","title":{"rendered":"Quasi-static drop impact"},"content":{"rendered":"\n<div class=\"wp-block-cover alignwide has-purple-background-color has-background-dim\"><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"561\" height=\"195\" src=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/impacting-drops2.jpg\" alt=\"\" class=\"wp-image-4951\"\/><\/figure>\n\n\n\n<p class=\"tw-text-wide has-extra-small-font-size\">We develop a conceptually simple theoretical model of non-wetting drop impact on a rigid surface at small Weber numbers. Flat and curved impactor surfaces are considered, and the influence of surface curvature is elucidated. Particular attention is given to characterizing the contact time of the impact and the coefficient of restitution, the goal being to provide a reasonable estimate for these two parameters with the simplest model possible. Approximating the shape of the drop during impact as quasi-static allows us to derive the governing differential equation for the droplet motion from a Lagrangian. Predictions of the resulting model are shown to compare favorably with previously reported experimental results.<\/p>\n\n\n\n<p class=\"tw-text-wide has-small-font-size\">See paper:      <a data-type=\"URL\" data-id=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/PoF-Molacek.pdf\" href=\"http:\/\/thales.mit.edu\/bush\/wp-content\/uploads\/2021\/04\/PoF-Molacek.pdf\">Mol\u00e1\u010dek, J. and Bush, J.W.M., PRF (2012).<\/a><\/p>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":5,"featured_media":4952,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13,6,3],"tags":[],"class_list":["post-4950","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-bouncing-walking","category-interfacial-flows","category-pilot-wave-hydrodynamics","entry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v16.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Quasi-static drop impact - John W. M. Bush<\/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:\/\/thales.mit.edu\/bush\/index.php\/2012\/04\/02\/a-quasi-static-model-of-drop-impact\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Quasi-static drop impact - John W. M. Bush\" \/>\n<meta property=\"og:url\" content=\"https:\/\/thales.mit.edu\/bush\/index.php\/2012\/04\/02\/a-quasi-static-model-of-drop-impact\/\" \/>\n<meta property=\"og:site_name\" content=\"John W. M. 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