{"id":94,"date":"2022-12-30T18:15:39","date_gmt":"2022-12-30T18:15:39","guid":{"rendered":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/exercise-6\/"},"modified":"2023-01-08T00:58:29","modified_gmt":"2023-01-08T00:58:29","slug":"exercise-6","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/exercise-6\/","title":{"raw":"Exercise 6","rendered":"Exercise 6"},"content":{"raw":"<div class=\"exercise-6\">\r\n<p class=\"import-Normal\">Calculate the Rayleigh number for a ten-meter-thick freshwater aquifer that has <em class=\"import-GWPCambria\">K<\/em><sub class=\"import-GWPCambriaSub\"><em>f<\/em><\/sub>\u00a0=\u00a010\u00a0m d<sup class=\"import-GWPNormalSuper\">\u2212<\/sup><sup class=\"import-GWPNormalSuper\">1<\/sup>, which is overlain by seawater (e.g., following an overtopping event due to a storm surge). <em>Hint<\/em>: Look up the definition of the freshwater hydraulic conductivity in the <a href=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/equivalent-freshwater-head\/#chapter-42-section-1\">Section titled\u00a0<em>Horizontal Flow<\/em><\/a>. Assume that [latex]\\frac{\\mu _f}{\\mu }=1[\/latex]<\/p>\r\n<p class=\"import-Normal\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/solution-exercise-6\/\"><span class=\"import-Hyperlink\">Click for solution to <\/span><span class=\"import-Hyperlink\">Exercise <\/span><span class=\"import-Hyperlink\">6<\/span><\/a><\/p>\r\n<p class=\"import-Normal\"><\/p>\r\n\r\n<\/div>","rendered":"<div class=\"exercise-6\">\n<p class=\"import-Normal\">Calculate the Rayleigh number for a ten-meter-thick freshwater aquifer that has <em class=\"import-GWPCambria\">K<\/em><sub class=\"import-GWPCambriaSub\"><em>f<\/em><\/sub>\u00a0=\u00a010\u00a0m d<sup class=\"import-GWPNormalSuper\">\u2212<\/sup><sup class=\"import-GWPNormalSuper\">1<\/sup>, which is overlain by seawater (e.g., following an overtopping event due to a storm surge). <em>Hint<\/em>: Look up the definition of the freshwater hydraulic conductivity in the <a href=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/equivalent-freshwater-head\/#chapter-42-section-1\">Section titled\u00a0<em>Horizontal Flow<\/em><\/a>. Assume that <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-content\/ql-cache\/quicklatex.com-552eb0da490b7b5d37d56f5ddf8afd7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#109;&#117;&#32;&#95;&#102;&#125;&#123;&#92;&#109;&#117;&#32;&#125;&#61;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"50\" style=\"vertical-align: -9px;\" \/><\/p>\n<p class=\"import-Normal\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/solution-exercise-6\/\"><span class=\"import-Hyperlink\">Click for solution to <\/span><span class=\"import-Hyperlink\">Exercise <\/span><span class=\"import-Hyperlink\">6<\/span><\/a><\/p>\n<p class=\"import-Normal\">\n<\/div>\n","protected":false},"author":1,"menu_order":22,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-94","chapter","type-chapter","status-publish","hentry"],"part":143,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters\/94","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/wp\/v2\/users\/1"}],"version-history":[{"count":4,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters\/94\/revisions"}],"predecessor-version":[{"id":324,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters\/94\/revisions\/324"}],"part":[{"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/parts\/143"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters\/94\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/wp\/v2\/media?parent=94"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/chapter-type?post=94"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/wp\/v2\/contributor?post=94"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/wp\/v2\/license?post=94"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}