{"id":450,"date":"2022-12-11T23:09:00","date_gmt":"2022-12-11T23:09:00","guid":{"rendered":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/chapter\/exercise-14\/"},"modified":"2023-01-14T17:48:42","modified_gmt":"2023-01-14T17:48:42","slug":"exercise-14","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/chapter\/exercise-14\/","title":{"raw":"Exercise 14","rendered":"Exercise 14"},"content":{"raw":"<div class=\"exercise-14\">\r\n<ol type=\"a\">\r\n \t<li class=\"import-Normal\">Calculate the hydraulic radius of the circular pipe and trapezoidal concrete channel shown below. Assume the concrete channel is symmetric and the length units are meters.<\/li>\r\n<\/ol>\r\n<p class=\"import-Normal\" style=\"padding-left: 40px;\"><img class=\"alignnone\" src=\"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-content\/uploads\/sites\/27\/2022\/12\/image80-1.png\" alt=\"Figure showing hydraulic radius\" width=\"790\" height=\"325\" \/><\/p>\r\n\r\n<ol start=\"2\" type=\"a\">\r\n \t<li class=\"import-Normal\">If the flow is 0.005\u00a0m<sup class=\"import-GWPNormalSuper\">3<\/sup>\/s, what is the mean velocity for each conveyance?<\/li>\r\n \t<li class=\"import-Normal\">What is the Reynolds number for each conveyance? Assume water temperature is 20<sup>o<\/sup>\u00a0C.\r\n<em>Hint:<\/em> The kinematic viscosity [m<sup>2<\/sup>\/s] is the ratio between the dynamic viscosity of a fluid [(1\u00a0Pascal-second)\u00a0=\u00a01\u00a0kilogram\/(meter-second)] and the density of a fluid [kg\/m<sup>3<\/sup>]. The SI unit of the kinematic viscosity is m<sup>2<\/sup>\/s. Other units are:<\/li>\r\n<\/ol>\r\n<ul>\r\n \t<li style=\"list-style-type: none;\">\r\n<ul>\r\n \t<li style=\"list-style-type: disc;\">1 St (Stoke) = 1 cm<sup class=\"import-GWPNormalSuper\">2<\/sup>\/s\u00a0=\u00a010<sup class=\"import-GWPNormalSuper\">\u22124<\/sup>\u00a0m<sup class=\"import-GWPNormalSuper\">2<\/sup>\/s;<\/li>\r\n \t<li style=\"list-style-type: disc;\">1 cSt (centiStoke) = 1 mm<sup class=\"import-GWPNormalSuper\">2<\/sup>\/s\u00a0=\u00a010<sup class=\"import-GWPNormalSuper\">\u22126<\/sup>m<sup class=\"import-GWPNormalSuper\">2<\/sup>\/s; and<\/li>\r\n \t<li style=\"list-style-type: disc;\">Water at 20 \u00b0C has a kinematic viscosity of about 1 cSt.<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<ol start=\"4\" type=\"a\">\r\n \t<li>Is flow laminar or turbulent in each conveyance?<\/li>\r\n \t<li>If the flow is 0.005 m<sup class=\"import-GWPNormalSuper\">3<\/sup>\/s, what is the mean velocity for each conveyance?<\/li>\r\n<\/ol>\r\n<p class=\"import-Normal\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/chapter\/exercise-14-solution\/\"><span class=\"import-Hyperlink\">Click here for solution to <\/span><span class=\"import-Hyperlink\">E<\/span><span class=\"import-Hyperlink\">xercise 1<\/span><span class=\"import-Hyperlink\">4<\/span><\/a><\/p>\r\n<p class=\"import-Normal\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/chapter\/fluid-mechanics-of-pipes-and-open-channels\/#text-link-to-exercise-14\">Return to where text linked to Exercise 14<\/a><\/p>\r\n\r\n<\/div>","rendered":"<div class=\"exercise-14\">\n<ol type=\"a\">\n<li class=\"import-Normal\">Calculate the hydraulic radius of the circular pipe and trapezoidal concrete channel shown below. Assume the concrete channel is symmetric and the length units are meters.<\/li>\n<\/ol>\n<p class=\"import-Normal\" style=\"padding-left: 40px;\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone\" src=\"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-content\/uploads\/sites\/27\/2022\/12\/image80-1.png\" alt=\"Figure showing hydraulic radius\" width=\"790\" height=\"325\" \/><\/p>\n<ol start=\"2\" type=\"a\">\n<li class=\"import-Normal\">If the flow is 0.005\u00a0m<sup class=\"import-GWPNormalSuper\">3<\/sup>\/s, what is the mean velocity for each conveyance?<\/li>\n<li class=\"import-Normal\">What is the Reynolds number for each conveyance? Assume water temperature is 20<sup>o<\/sup>\u00a0C.<br \/>\n<em>Hint:<\/em> The kinematic viscosity [m<sup>2<\/sup>\/s] is the ratio between the dynamic viscosity of a fluid [(1\u00a0Pascal-second)\u00a0=\u00a01\u00a0kilogram\/(meter-second)] and the density of a fluid [kg\/m<sup>3<\/sup>]. The SI unit of the kinematic viscosity is m<sup>2<\/sup>\/s. Other units are:<\/li>\n<\/ol>\n<ul>\n<li style=\"list-style-type: none;\">\n<ul>\n<li style=\"list-style-type: disc;\">1 St (Stoke) = 1 cm<sup class=\"import-GWPNormalSuper\">2<\/sup>\/s\u00a0=\u00a010<sup class=\"import-GWPNormalSuper\">\u22124<\/sup>\u00a0m<sup class=\"import-GWPNormalSuper\">2<\/sup>\/s;<\/li>\n<li style=\"list-style-type: disc;\">1 cSt (centiStoke) = 1 mm<sup class=\"import-GWPNormalSuper\">2<\/sup>\/s\u00a0=\u00a010<sup class=\"import-GWPNormalSuper\">\u22126<\/sup>m<sup class=\"import-GWPNormalSuper\">2<\/sup>\/s; and<\/li>\n<li style=\"list-style-type: disc;\">Water at 20 \u00b0C has a kinematic viscosity of about 1 cSt.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<ol start=\"4\" type=\"a\">\n<li>Is flow laminar or turbulent in each conveyance?<\/li>\n<li>If the flow is 0.005 m<sup class=\"import-GWPNormalSuper\">3<\/sup>\/s, what is the mean velocity for each conveyance?<\/li>\n<\/ol>\n<p class=\"import-Normal\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/chapter\/exercise-14-solution\/\"><span class=\"import-Hyperlink\">Click here for solution to <\/span><span class=\"import-Hyperlink\">E<\/span><span class=\"import-Hyperlink\">xercise 1<\/span><span class=\"import-Hyperlink\">4<\/span><\/a><\/p>\n<p class=\"import-Normal\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/chapter\/fluid-mechanics-of-pipes-and-open-channels\/#text-link-to-exercise-14\">Return to where text linked to Exercise 14<\/a><\/p>\n<\/div>\n","protected":false},"author":1,"menu_order":38,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-450","chapter","type-chapter","status-publish","hentry"],"part":556,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/chapters\/450","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":4,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/chapters\/450\/revisions"}],"predecessor-version":[{"id":855,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/chapters\/450\/revisions\/855"}],"part":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/parts\/556"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/chapters\/450\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/media?parent=450"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/pressbooks\/v2\/chapter-type?post=450"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/contributor?post=450"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/introduction-to-karst-aquifers\/wp-json\/wp\/v2\/license?post=450"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}