{"id":108,"date":"2022-12-30T18:15:40","date_gmt":"2022-12-30T18:15:40","guid":{"rendered":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/solution-exercise-7\/"},"modified":"2023-01-08T04:32:51","modified_gmt":"2023-01-08T04:32:51","slug":"solution-exercise-7","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/solution-exercise-7\/","title":{"raw":"Solution Exercise 7","rendered":"Solution Exercise 7"},"content":{"raw":"<div class=\"solution-exercise-7\">\r\n<p class=\"import-Normal\">The value for <em class=\"import-GWPCambria\">H<\/em> can be obtained from <a href=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/stable-and-unstable-density-configurations\/#figure-9\">Figure\u00a09<\/a>, with which the Rayleigh number can be calculated as:<\/p>\r\n<p style=\"text-align: center;\">[latex]\\displaystyle Ra=\\frac{\\Delta \\rho gkH}{\\mu D_{T}}=\\frac{3\\times 9.81\\times 10^{-10}\\times 100}{1.0\\times 10^{-3}\\times 1.0\\times 10^{-6}}=2.9\\times 10^{2}[\/latex]<\/p>\r\n<p class=\"import-Normal\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/exercise-7\/\"><span class=\"import-Hyperlink\">Return to <\/span><span class=\"import-Hyperlink\">Exercise <\/span><span class=\"import-Hyperlink\">7<\/span><\/a><\/p>\r\n<p class=\"import-Normal\"><\/p>\r\n\r\n<\/div>","rendered":"<div class=\"solution-exercise-7\">\n<p class=\"import-Normal\">The value for <em class=\"import-GWPCambria\">H<\/em> can be obtained from <a href=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/stable-and-unstable-density-configurations\/#figure-9\">Figure\u00a09<\/a>, with which the Rayleigh number can be calculated as:<\/p>\n<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-content\/ql-cache\/quicklatex.com-a227e51de2d241aabc5583c566e7a5df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#105;&#115;&#112;&#108;&#97;&#121;&#115;&#116;&#121;&#108;&#101;&#32;&#82;&#97;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#68;&#101;&#108;&#116;&#97;&#32;&#92;&#114;&#104;&#111;&#32;&#103;&#107;&#72;&#125;&#123;&#92;&#109;&#117;&#32;&#68;&#95;&#123;&#84;&#125;&#125;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#51;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#57;&#46;&#56;&#49;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#48;&#94;&#123;&#45;&#49;&#48;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#48;&#48;&#125;&#123;&#49;&#46;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#48;&#94;&#123;&#45;&#51;&#125;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#46;&#48;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#48;&#94;&#123;&#45;&#54;&#125;&#125;&#61;&#50;&#46;&#57;&#92;&#116;&#105;&#109;&#101;&#115;&#32;&#49;&#48;&#94;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"413\" style=\"vertical-align: -16px;\" \/><\/p>\n<p class=\"import-Normal\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/exercise-7\/\"><span class=\"import-Hyperlink\">Return to <\/span><span class=\"import-Hyperlink\">Exercise <\/span><span class=\"import-Hyperlink\">7<\/span><\/a><\/p>\n<p class=\"import-Normal\">\n<\/div>\n","protected":false},"author":1,"menu_order":32,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-108","chapter","type-chapter","status-publish","hentry"],"part":155,"_links":{"self":[{"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters\/108","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":3,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters\/108\/revisions"}],"predecessor-version":[{"id":346,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters\/108\/revisions\/346"}],"part":[{"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/parts\/155"}],"metadata":[{"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters\/108\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/wp\/v2\/media?parent=108"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/chapter-type?post=108"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/wp\/v2\/contributor?post=108"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/wp\/v2\/license?post=108"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}