{"id":150408,"date":"2015-11-24T03:00:00","date_gmt":"2015-11-24T00:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=5333869587aa89d6e6b5bf33015cb65d"},"modified":"2015-11-24T03:00:00","modified_gmt":"2015-11-24T00:00:00","slug":"the-fluid-dynamics-of-the-chocolate-fountain","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=150408","title":{"rendered":"The fluid dynamics of the chocolate fountain"},"content":{"rendered":"<p>We consider the fluid dynamics of the chocolate fountain. Molten chocolate is a mildly<br \/>\nshear-thinning non-Newtonian fluid. Dividing the flow into three main domains\u2014the pumped flow up the<br \/>\ncentre, the film flow over each dome, and the freely falling curtain flow between the domes\u2014we<br \/>\ngenerate a wide-ranging study of Newtonian and non-Newtonian fluid mechanics. The central pumped<br \/>\nflow is a benchmark to elucidate the effects of shear-thinning. The dome flow can be modelled as a<br \/>\nthin-film flow with the leading-order effects being a simple balance of gravity and viscosity.<br \/>\nFinally, the curtain flow is analytically intractable but is related to the existing theory of water<br \/>\nbells (both inviscid and viscous). In pipe flow, Newtonian fluids exhibit a parabolic velocity<br \/>\nprofile; shear-thinning makes the profile more blunted. In thin-film flow over the dome,<br \/>\ngravitational and viscous effects balance and the dome shape is not important beyond the local<br \/>\nslope. We find that the chocolate thins&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We consider the fluid dynamics of the chocolate fountain. Molten chocolate is a mildly<br \/>\nshear-thinning non-Newtonian fluid. Dividing the flow into three main domains\u2014the pumped flow up the<br \/>\ncentre, the film flow over each dome, and the freely falling&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-150408","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/150408","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=150408"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/150408\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=150408"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=150408"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=150408"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}