{"id":297,"date":"2020-01-17T16:35:56","date_gmt":"2020-01-17T16:35:56","guid":{"rendered":"https:\/\/dev-cu-sites.pantheonsite.io\/gahmadi\/?page_id=297"},"modified":"2025-08-17T21:53:45","modified_gmt":"2025-08-17T21:53:45","slug":"me527-syllabus","status":"publish","type":"page","link":"https:\/\/sites.clarkson.edu\/gahmadi\/courses\/me527\/me527-syllabus\/","title":{"rendered":"ME527 Course Syllabus"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">Course Specifications<\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Recommended book: Incompressible Flow, by R.L. Panton, 4th ed. John Wiley (2013)<\/li>\n\n\n\n<li>Instructor: Goodarz Ahmadi (CAMP 267, 268-2322) <\/li>\n\n\n\n<li>Office Hours: Monday and Wednesday 12:30 &#8211; 3:30 pm <\/li>\n\n\n\n<li>Prerequisites: Graduate Standing<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Course Learning Objectives<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>To provide a fundamental understanding of fluid flows in the laminar regime.<\/li>\n\n\n\n<li>To provide a fundamental understanding of boundary layer flow.<\/li>\n\n\n\n<li>To familiarize the students with the computational modeling of fluid flows. <\/li>\n\n\n\n<li>To familiarize the students with the industrial applications of fluid flows.<\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Course Learning Outcomes<\/h4>\n\n\n\n<p><strong>Objective 1<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Students will be able to formulate and solve fluid flows under the laminar regime.<\/li>\n<\/ul>\n\n\n\n<p><strong>Objective 2<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Students will be able to use perturbation and asymptotic methods and analyze boundary layer flows.<\/li>\n<\/ul>\n\n\n\n<p><strong>Objective 3<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Students will demonstrate a fundamental understanding of computational fluid mechanics.<\/li>\n\n\n\n<li>Students will demonstrate using the ANSYS-Fluent Code for solving laminar flow problems.&nbsp;<\/li>\n\n\n\n<li>Students will demonstrate using the CFD code for solving turbulent flows.<\/li>\n<\/ul>\n\n\n\n<p><strong>Objective 4<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Students will understand the concept of stability of fluid motion.<\/li>\n\n\n\n<li>Students will understand the basics of turbulent flows.<\/li>\n\n\n\n<li>Students will understand the industrial applications of fluid flows.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Course Outline<\/h3>\n\n\n\n<p>I. REVIEWS OF ENGINEERING MATHEMATICS<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-01_EngMathShort.pdf\">Engineering Mathematics, Differential Equations<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-01_EngMathShort.pdf\">Engineering Mathematics, Partial Differential Equations<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-02_indicial.pdf\">Indicial Notation<\/a><\/li>\n<\/ul>\n\n\n\n<p>II. CONTINUUM FLUID MECHANICS<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-11_fundamental.pdf\">Fundamentals<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-12_continuum.pdf\">Kinematics<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-13_conservation.pdf\">Conservation Laws<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-13_conservation.pdf\">Continuum Thermodynamics<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-13_conservation.pdf\">Constitutive Equations<\/a><\/li>\n<\/ul>\n\n\n\n<p>III. NAVIER-STOKES EQUATION<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-14_Viscous-Parallel-Flows.pdf\">Steady Parallel Flows<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-15_ExactSol.pdf\">Exact Solutions<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-16_ViscousFlows-General.pdf\">Viscous Flow Theories<\/a><\/li>\n<\/ul>\n\n\n\n<p>IV. LOW REYNOLDS NUMBER FLOWS<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-16_ViscousFlows-General.pdf\">Creeping flows<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-16_ViscousFlows-General.pdf\">Lubrication Theory and Squeeze Film Flows<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-17_FlowsPastSphere.pdf\">Flow around a sphere<\/a><\/li>\n<\/ul>\n\n\n\n<p>V. NUMERICAL SIMULATION METHODS<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/confluence.cornell.edu\/display\/SIMULATION\/Home\">Finite Difference and Finite Volume Methods<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-ANSYS-Fluent-Tutorial-Part-1.pdf\">Introduction to CFD<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/confluence.cornell.edu\/display\/SIMULATION\/Home\">Commercial codes (ANSYS-FLUENT)<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-ANSYS-Fluent-Tutorial-Part-1.pdf\">ANSYS-Fluent Tutorial Part 1<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-ANSYS-Fluent-Tutorial-Part-2.pdf\">ANSYS-Fluent Tutorial Part 2<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-ANSYS-Fluent-Tutorial-Part-3.pdf\">ANSYS-Fluent Tutorial Part 3<\/a><\/li>\n<\/ul>\n\n\n\n<p>VI. ASYMPTOTIC METHODS<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-21_Pertubation-Theory-.pdf\">Perturbation Method<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-21_Pertubation-Theory-.pdf\">Singular Perturbation Theory<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-21_Pertubation-Theory-.pdf\">Matched Asymptotic Expansion<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-18_Potential-Flows-Past-Sphere.pdf\">Potential Flows<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-22_Inviscid-Shear-Flows.pdf\">Inviscid Shear Flows<\/a><\/li>\n<\/ul>\n\n\n\n<p>VII. BOUNDARY LAYER THEORY<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-23__High-Re-Flows.pdf\">High Reynolds Number Flows<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-24_Boundary_Layer.pdf\">Boundary Layer Flows<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-24_Boundary_Layer.pdf\">Self-Similar Solutions<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-25_Boundary_Layer_Momentum_Integral.pdf\">Integral Methods <\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-29_TurbulentPlaneJetFlow.pdf\">Free Shear Flows (Jet and Wake Flows)<\/a><\/li>\n<\/ul>\n\n\n\n<p>VIII. STABILITY OF FLUID MOTION<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-14_StabilityLinear.pdf\">Linear Instability Theory<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-14_StabilityLinear.pdf\">Theory of Small Perturbation and Orr-Sommerfeld Equation<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-15_StabilityNon.pdf\">Nonlinear Stability Analysis<\/a><\/li>\n<\/ul>\n\n\n\n<p>IX. TURBULENT FLOWS<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-21_TURBULENCE.pdf\">Introduction to the Physics of Turbulence<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-22_PHENOMEN.pdf\">Reynolds Equation<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-22_PHENOMEN.pdf\">Phenomenological Theories<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-25_Correlation.pdf\">Correlation and Spectrum, Length and Time Scales<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-23_Energy.pdf\">Energy Equation<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-24_VorticityEquations.pdf\">Vorticity Dynamics<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-24_VorticityEquations.pdf\">Turbulent Jet and Wake Flows<\/a><\/li>\n<\/ul>\n\n\n\n<p>X. TURBULENCE MODELING<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-21_TURBULENCE.pdf\">Algebraic Model<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-22_PHENOMEN.pdf\">One-Equation Models<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-33_SecondOrdeMod.pdf\">Two-Equation Models, the k-e Models<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/sites.clarkson.edu\/gahmadi\/wp-content\/uploads\/sites\/28\/2020\/01\/ME527-34_TurbulenceModeling.pdf\">Stress Transport Models<\/a><\/li>\n<\/ul>\n\n\n\n<h4 class=\"wp-block-heading\">Evaluation Methods<\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Homework 10%<\/li>\n\n\n\n<li>Exam-1 25%, October 24, 2025, CAMP 184, 3:00-4:20 pm<\/li>\n\n\n\n<li>Final Exam 35%, Final Exam Week <\/li>\n\n\n\n<li>Projects 30%    <\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Course Description<\/h3>\n\n\n\n<p>ME527 Advanced Fluid Mechanics R-3, C-3. <br>Prerequisites: Graduate Standing. <\/p>\n\n\n\n<p>Review of engineering mathematics, kinematics of fluid motion, conservation laws, continuity and momentum equations, Navier-Stokes equation, viscous flow theory, simple flows, and low Reynolds number flows. Introduction to computational fluid dynamics. Asymptotic methods, perturbation methods, singular perturbation, and matched asymptotic expansion. Boundary layer theory, similarity solutions, and integral approach. Review of instability of viscous flows. Origin of turbulence. Phenomenological theories of turbulence. Reynolds&#8217; equation, energy, and vorticity transport in turbulence. Introduction to turbulence modeling. The k-e and stress transport models. <\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Exam &amp; Homework Policies<\/h3>\n\n\n\n<h4 class=\"wp-block-heading\">Exam Policy<\/h4>\n\n\n\n<p>Exams will be open-book with one book allowed.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Homework Policy<\/h4>\n\n\n\n<p>Homework will be collected as assigned.  Homework will be graded and returned to the students. <\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Course Specifications Course Learning Objectives Course Learning Outcomes Objective 1 Objective 2 Objective 3 Objective 4 Course Outline I. REVIEWS OF ENGINEERING MATHEMATICS II. CONTINUUM FLUID MECHANICS III. NAVIER-STOKES EQUATION IV. LOW REYNOLDS NUMBER FLOWS V. NUMERICAL SIMULATION METHODS VI. ASYMPTOTIC METHODS VII. BOUNDARY LAYER THEORY VIII. STABILITY OF FLUID MOTION IX. TURBULENT FLOWS X. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":19,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-templates\/right-sidebarpage.php","meta":{"advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"class_list":["post-297","page","type-page","status-publish","hentry"],"coauthors":[],"author_meta":{"author_link":"https:\/\/sites.clarkson.edu\/gahmadi\/author\/moeler\/","display_name":"moeler"},"relative_dates":{"created":"Posted 6 years ago","modified":"Updated 8 months ago"},"absolute_dates":{"created":"Posted on January 17, 2020","modified":"Updated on August 17, 2025"},"absolute_dates_time":{"created":"Posted on January 17, 2020 4:35 pm","modified":"Updated on August 17, 2025 9:53 pm"},"featured_img_caption":"","featured_img":false,"series_order":"","_links":{"self":[{"href":"https:\/\/sites.clarkson.edu\/gahmadi\/wp-json\/wp\/v2\/pages\/297","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.clarkson.edu\/gahmadi\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.clarkson.edu\/gahmadi\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.clarkson.edu\/gahmadi\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.clarkson.edu\/gahmadi\/wp-json\/wp\/v2\/comments?post=297"}],"version-history":[{"count":2,"href":"https:\/\/sites.clarkson.edu\/gahmadi\/wp-json\/wp\/v2\/pages\/297\/revisions"}],"predecessor-version":[{"id":1289,"href":"https:\/\/sites.clarkson.edu\/gahmadi\/wp-json\/wp\/v2\/pages\/297\/revisions\/1289"}],"up":[{"embeddable":true,"href":"https:\/\/sites.clarkson.edu\/gahmadi\/wp-json\/wp\/v2\/pages\/19"}],"wp:attachment":[{"href":"https:\/\/sites.clarkson.edu\/gahmadi\/wp-json\/wp\/v2\/media?parent=297"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}