{"id":104,"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-3\/"},"modified":"2023-01-08T01:19:50","modified_gmt":"2023-01-08T01:19:50","slug":"solution-exercise-3","status":"publish","type":"chapter","link":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/solution-exercise-3\/","title":{"raw":"Solution Exercise 3","rendered":"Solution Exercise 3"},"content":{"raw":"<div class=\"solution-exercise-3\">\r\n<p class=\"import-Normal\">Inserting <a href=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/equivalent-freshwater-head\/#equation-12\">Equation\u00a012<\/a> in the bracketed term of <a href=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/equivalent-freshwater-head\/#equation-18\">Equation\u00a018<\/a> shows that the terms cancel, thus yielding <em class=\"import-GWPCambria\">q<\/em><sub class=\"import-GWPCambriaSub\"><em>z<\/em><\/sub>\u00a0=\u00a00:<\/p>\r\n<p class=\"import-Normal\" style=\"text-align: center;\">[latex]\\displaystyle \\frac{\\rho _{f}-\\rho _{s}}{\\rho _{f}}+\\frac{\\rho _{s}-\\rho _{f}}{\\rho _{f}}=0[\/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-3\/\"><span class=\"import-Hyperlink\">Return to <\/span><span class=\"import-Hyperlink\">Exercise\u00a0<\/span><span class=\"import-Hyperlink\">3<\/span><\/a><\/p>\r\n<p class=\"import-Normal\"><\/p>\r\n\r\n<\/div>","rendered":"<div class=\"solution-exercise-3\">\n<p class=\"import-Normal\">Inserting <a href=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/equivalent-freshwater-head\/#equation-12\">Equation\u00a012<\/a> in the bracketed term of <a href=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/equivalent-freshwater-head\/#equation-18\">Equation\u00a018<\/a> shows that the terms cancel, thus yielding <em class=\"import-GWPCambria\">q<\/em><sub class=\"import-GWPCambriaSub\"><em>z<\/em><\/sub>\u00a0=\u00a00:<\/p>\n<p class=\"import-Normal\" 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-66d3739b6f58319649b502cf9bf3a388_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;&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#114;&#104;&#111;&#32;&#95;&#123;&#102;&#125;&#45;&#92;&#114;&#104;&#111;&#32;&#95;&#123;&#115;&#125;&#125;&#123;&#92;&#114;&#104;&#111;&#32;&#95;&#123;&#102;&#125;&#125;&#43;&#92;&#102;&#114;&#97;&#99;&#123;&#92;&#114;&#104;&#111;&#32;&#95;&#123;&#115;&#125;&#45;&#92;&#114;&#104;&#111;&#32;&#95;&#123;&#102;&#125;&#125;&#123;&#92;&#114;&#104;&#111;&#32;&#95;&#123;&#102;&#125;&#125;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"172\" style=\"vertical-align: -18px;\" \/><\/p>\n<p class=\"import-Normal\" style=\"text-align: right;\"><a href=\"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/chapter\/exercise-3\/\"><span class=\"import-Hyperlink\">Return to <\/span><span class=\"import-Hyperlink\">Exercise\u00a0<\/span><span class=\"import-Hyperlink\">3<\/span><\/a><\/p>\n<p class=\"import-Normal\">\n<\/div>\n","protected":false},"author":1,"menu_order":28,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-104","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\/104","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\/104\/revisions"}],"predecessor-version":[{"id":329,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/chapters\/104\/revisions\/329"}],"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\/104\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/wp\/v2\/media?parent=104"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/pressbooks\/v2\/chapter-type?post=104"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/wp\/v2\/contributor?post=104"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/books.gw-project.org\/variable-density-groundwater-flow\/wp-json\/wp\/v2\/license?post=104"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}