{"id":5997,"date":"2023-02-27T08:53:18","date_gmt":"2023-02-27T08:53:18","guid":{"rendered":"https:\/\/www.goodacademic.com\/blog\/questions\/fluid-question\/"},"modified":"2023-02-27T08:53:18","modified_gmt":"2023-02-27T08:53:18","slug":"fluid-question","status":"publish","type":"questions","link":"https:\/\/www.goodacademic.com\/blog\/questions\/fluid-question\/","title":{"rendered":"Fluid question"},"content":{"rendered":"<div class=\"col-sm-12 messageContent\">\n <b>Learning Goal: <\/b>I&#8217;m working on a civil engineering question and need guidance to help me learn.<\/p>\n<p>Engineers and investors are planning to build a luxury hotel at Yellowstone. They<\/p>\n<p>have the rights to exploit hot springs located in the mountains. The water coming<\/p>\n<p>from the hot spring is very hot, reaching a temperature of 50\u00e2\u2014\u00a6. As an alternative<\/p>\n<p>to reduce the temperature, another pipe will run cold water from a lagoon, with<\/p>\n<p>a temperature of 10\u00e2\u2014\u00a6 and mix it with the hot water. The engineers realized that<\/p>\n<p>this is a very complex problem for Hazen-Williams model because such a model<\/p>\n<p>would consider water at same temperature. The engineers, therefore, will employ<\/p>\n<p>the Darcy-Weisbach formulation. They remark that kinematic viscosity will change with temperature. They present the kinematic viscosity as a function of temperature (below). The pipe is commercial steel with ks=0.046.<\/p>\n<p>(a) Determine the flow rates extracted from the hot and cold sources so the total flow<\/p>\n<p>rate is 20 [l\/s] and the temperature after mixture is 35\u00e2\u2014\u00a6 (i.e. define the correct<\/p>\n<p>proportion of Q from each pipe so you get the correct mixed temperature).<\/p>\n<p>Assume an instantaneous and adiabatic mixing (i.e. the temperature can be<\/p>\n<p>obtained by simply calculating the ratios of flow rate from each pipe).<\/p>\n<p>(b) Determine the diameter of the hot and cold pipes coming from the cold and<\/p>\n<p>hot water sources. Hint: You need to use the Moody Abacus for each of the<\/p>\n<p>two pipes. You need to iterate for the diameters. In the first iteration you<\/p>\n<p>need to guess the diameters. Then you get the values of f. Then use those f in<\/p>\n<p>the Bernoulli equation with the diameter as unknown. If the values of D are<\/p>\n<p>different from the first guess, perform another iteration.<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Learning Goal: I&#8217;m working on a civil engineering question and need guidance to help me learn. Engineers and investors are planning to build a luxury hotel at Yellowstone. They have the rights to exploit hot springs located in the mountains. The water coming from the hot spring is very hot, reaching a temperature of 50\u00e2\u2014\u00a6. [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"closed","template":"","meta":[],"disciplines":[739],"paper_types":[],"tagged":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions\/5997"}],"collection":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/comments?post=5997"}],"version-history":[{"count":0,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/questions\/5997\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/media?parent=5997"}],"wp:term":[{"taxonomy":"disciplines","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/disciplines?post=5997"},{"taxonomy":"paper_types","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/paper_types?post=5997"},{"taxonomy":"tagged","embeddable":true,"href":"https:\/\/www.goodacademic.com\/blog\/wp-json\/wp\/v2\/tagged?post=5997"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}