{"id":6,"date":"2026-10-08T16:58:45","date_gmt":"2026-10-08T16:58:45","guid":{"rendered":"https:\/\/marouane.site\/index.php\/learn\/fluid-mechanics-first-principles\/"},"modified":"2026-10-08T16:58:45","modified_gmt":"2026-10-08T16:58:45","slug":"fluid-mechanics-first-principles","status":"publish","type":"ms_course","link":"https:\/\/marouane.site\/index.php\/learn\/fluid-mechanics-first-principles\/","title":{"rendered":"Fluid mechanics, from first principles"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Build physical intuition before reaching for a solver. This short introductory course connects the no-slip condition, conservation of mass, and the velocity profile of fully developed pipe flow.<\/p><h2 class=\"wp-block-heading\">What you will learn<\/h2><ul class=\"wp-block-list\"><li>Explain what no-slip means at a stationary wall.<\/li><li>Use conservation of mass to relate mean velocity and flow rate.<\/li><li>Explore a laminar pipe-flow solution and recognize its limits.<\/li><\/ul><h2 class=\"wp-block-heading\">Prerequisites<\/h2><p class=\"wp-block-paragraph\">Basic algebra, SI units, and an interest in how fluids move. No simulation software is required.<\/p><div class=\"wp-block-group ms-callout ms-lime is-layout-constrained wp-block-group-is-layout-constrained\"><h3 class=\"wp-block-heading\">A small course, with a clear purpose<\/h3><p class=\"wp-block-paragraph\">Work through the three lessons in sequence. Use each checkpoint to test your understanding, then explore the interactive analytical example.<\/p><\/div><section class=\"ms-syllabus\" data-course=\"6\"><h2>Course syllabus<\/h2><p data-progress-text>0 of 3 lessons completed<\/p><progress value=\"0\" max=\"3\" aria-label=\"Course completion\"><\/progress><ol><li data-lesson=\"7\"><a href=\"https:\/\/marouane.site\/index.php\/lessons\/the-no-slip-condition\/\">01 \u00b7 What happens at the wall?<\/a><span data-completion-label><\/span><\/li><li data-lesson=\"8\"><a href=\"https:\/\/marouane.site\/index.php\/lessons\/continuity-and-flow-rate\/\">02 \u00b7 Follow the mass<\/a><span data-completion-label><\/span><\/li><li data-lesson=\"9\"><a href=\"https:\/\/marouane.site\/index.php\/lessons\/explore-laminar-pipe-flow\/\">03 \u00b7 Why a parabola appears<\/a><span data-completion-label><\/span><\/li><\/ol><\/section>","protected":false},"excerpt":{"rendered":"<p>Three focused lessons to connect boundary conditions, conservation laws, and a classical flow solution.<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"_ms_course_id":0,"_ms_order":0,"_ms_minutes":20,"_ms_level":"Foundation","_ms_classification":"","_ms_evidence":"","_ms_accent":"cyan","footnotes":""},"ms_topic":[2],"class_list":["post-6","ms_course","type-ms_course","status-publish","hentry","ms_topic-fluid-mechanics"],"_links":{"self":[{"href":"https:\/\/marouane.site\/index.php\/wp-json\/wp\/v2\/ms_course\/6","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/marouane.site\/index.php\/wp-json\/wp\/v2\/ms_course"}],"about":[{"href":"https:\/\/marouane.site\/index.php\/wp-json\/wp\/v2\/types\/ms_course"}],"version-history":[{"count":0,"href":"https:\/\/marouane.site\/index.php\/wp-json\/wp\/v2\/ms_course\/6\/revisions"}],"wp:attachment":[{"href":"https:\/\/marouane.site\/index.php\/wp-json\/wp\/v2\/media?parent=6"}],"wp:term":[{"taxonomy":"ms_topic","embeddable":true,"href":"https:\/\/marouane.site\/index.php\/wp-json\/wp\/v2\/ms_topic?post=6"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}