{"id":49694975,"url":"https://github.com/ichristov/intermediate-fluid-mechanics","last_synced_at":"2026-05-07T23:16:16.435Z","repository":{"id":275050751,"uuid":"922257979","full_name":"ichristov/intermediate-fluid-mechanics","owner":"ichristov","description":"ME 50900 - Intermediate Fluid Mechanics","archived":false,"fork":false,"pushed_at":"2026-04-29T20:53:26.000Z","size":276355,"stargazers_count":30,"open_issues_count":0,"forks_count":6,"subscribers_count":2,"default_branch":"main","last_synced_at":"2026-04-29T22:21:56.823Z","etag":null,"topics":["blasius-equation","boundary-layer","couette-poiseuille-flow","dimensional-analysis","fluid-mechanics","ideal-flow","interactive-visualizations","lubrication","navier-stokes-equations","self-similarity","stokes-flow","streamfunction","teaching-materials","tensor-calculus","velocity-field","vorticity"],"latest_commit_sha":null,"homepage":"https://engineering.purdue.edu/ME509/","language":"Jupyter Notebook","has_issues":true,"has_wiki":null,"has_pages":null,"mirror_url":null,"source_name":null,"license":"gpl-3.0","status":null,"scm":"git","pull_requests_enabled":true,"icon_url":"https://github.com/ichristov.png","metadata":{"files":{"readme":"README.md","changelog":null,"contributing":null,"funding":null,"license":"LICENSE","code_of_conduct":null,"threat_model":null,"audit":null,"citation":null,"codeowners":null,"security":null,"support":null,"governance":null,"roadmap":null,"authors":null,"dei":null,"publiccode":null,"codemeta":null,"zenodo":null,"notice":null,"maintainers":null,"copyright":null,"agents":null,"dco":null,"cla":null}},"created_at":"2025-01-25T18:22:50.000Z","updated_at":"2026-04-29T20:53:31.000Z","dependencies_parsed_at":"2025-10-30T00:20:00.175Z","dependency_job_id":"def1ca2f-4906-4e92-8afc-758dd4b0f9f9","html_url":"https://github.com/ichristov/intermediate-fluid-mechanics","commit_stats":null,"previous_names":["ichristov/intermediate-fluid-mechanics"],"tags_count":3,"template":false,"template_full_name":null,"purl":"pkg:github/ichristov/intermediate-fluid-mechanics","repository_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ichristov%2Fintermediate-fluid-mechanics","tags_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ichristov%2Fintermediate-fluid-mechanics/tags","releases_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ichristov%2Fintermediate-fluid-mechanics/releases","manifests_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ichristov%2Fintermediate-fluid-mechanics/manifests","owner_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners/ichristov","download_url":"https://codeload.github.com/ichristov/intermediate-fluid-mechanics/tar.gz/refs/heads/main","sbom_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories/ichristov%2Fintermediate-fluid-mechanics/sbom","scorecard":null,"host":{"name":"GitHub","url":"https://github.com","kind":"github","repositories_count":286080680,"owners_count":32759577,"icon_url":"https://github.com/github.png","version":null,"created_at":"2022-05-30T11:31:42.601Z","updated_at":"2026-05-07T02:14:30.463Z","status":"ssl_error","status_checked_at":"2026-05-07T02:14:29.405Z","response_time":62,"last_error":"SSL_connect returned=1 errno=0 peeraddr=140.82.121.6:443 state=error: unexpected eof while reading","robots_txt_status":"success","robots_txt_updated_at":"2025-07-24T06:49:26.215Z","robots_txt_url":"https://github.com/robots.txt","online":false,"can_crawl_api":true,"host_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub","repositories_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repositories","repository_names_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/repository_names","owners_url":"https://repos.ecosyste.ms/api/v1/hosts/GitHub/owners"}},"keywords":["blasius-equation","boundary-layer","couette-poiseuille-flow","dimensional-analysis","fluid-mechanics","ideal-flow","interactive-visualizations","lubrication","navier-stokes-equations","self-similarity","stokes-flow","streamfunction","teaching-materials","tensor-calculus","velocity-field","vorticity"],"created_at":"2026-05-07T23:16:15.720Z","updated_at":"2026-05-07T23:16:16.429Z","avatar_url":"https://github.com/ichristov.png","language":"Jupyter Notebook","funding_links":[],"categories":[],"sub_categories":[],"readme":"# ME 50900 \u0026ndash; Intermediate Fluid Mechanics\n\nThis is a GitHub repository for ME 50900 \u0026ndash; Intermediate Fluid Mechanics at Purdue University, as taught by Prof. [Ivan C. Christov](HTTPS://christov.tmnt-lab.org).\nThe repository mainly consists of Jupyter notebooks used for hands-on demos in lectures, continuous knowledge acquisition, problem-set solutions, and enrichment activities.\n\n🚀 Getting started (rough grouping of notebooks based on course topics):\n\n* Kinematics:\n  * [Flow visualization](extras/flow_visualization.ipynb) \u0026mdash; quiver plots, streamlines, pathlines, streaklines.\n  * [Velocity field in polar coords](velocity_field_in_polar_coords.ipynb) \u0026mdash; plotting planar (2D) velocity fields given in terms of polar velocity components.\n  * [Streamfunction in 2D](streamfunction_2D.ipynb) \u0026mdash; constructing, visualizing, and understanding streamfunctions for 2D flows in Cartesian coordinates.\n  * [Kinematics and the material derivative](kinematics_material_derivative.ipynb) \u0026mdash; given a flow field, going beyond flow visualization.\n\n* Dynamics of unidirectional flows:\n  * [Combined PC flow](combined_PC_flow.ipynb) \u0026mdash; solution of combined Poiseuille\u0026ndash;Couette flow generated by the combination of a pressure gradient and wall motion.\n  * [Startup PC flow](extras/startup_PC_flow.ipynb) \u0026mdash; the full transient solution from rest for Poiseuille\u0026ndash;Couette flow (to complement [Combined PC Flow](../combined_PC_flow.ipynb)).\n  * [Slip flow in a channel](extras/slip_flow_channel.ipynb) \u0026mdash; a pressure-driven flow with Navier slip in a 2D channel, arising from microfluidics.\n  * [Stokes' 1st problem](Stokes_1st_problem.ipynb) \u0026mdash; similarity solution for the flow caused by the impulsive motion of a plate.\n  * [Stokes' 2nd problem](Stokes_2nd_problem.ipynb) \u0026mdash; post-transient solution for the flow caused by an oscillating plate.\n  * [Decay of an ideal vortex](decay_ideal_vortex.ipynb) \u0026mdash; similarity solution for the decay of a point load of vorticity at the origin.\n  * [Womersley flow](extras/Womersley_flow.ipynb) \u0026mdash; flow in a 2D channel and a 3D axisymmetric tube driven by a periodically pulsating pressure gradient, including animations.\n  * [Rectangular duct flow](extras/rectangular_duct.ipynb) \u0026mdash; Fourier series solution for pressure-driven flow in a 3D duct.\n\n* Flow fields with two velocity components:\n  * [Asymptotic suction flow](extras/asymptotic_suction_flow.ipynb) \u0026mdash; a fully-developed flow field with two velocity components.\n  * [Ideal flows in 2D](ideal_flows_2D.ipynb) \u0026mdash; having fun with functions of a complex variable.\n  * [Boundary layers](boundary_layers.ipynb) \u0026mdash; everything you need to know about Blasius' problem.\n  * [Stokes flows in 2D](Stokes_flows_2D.ipynb) \u0026mdash; having fun with the biharmonic equation in the plane, from Taylor's scraper to Moffatt's eddies.\n  * [Stokes flow past sphere](Stokes_flow_past_sphere.ipynb) \u0026mdash; heavy-duty calculations in spherical coordinates.\n  * [Wavy channel flow](wavy_channel.ipynb) \u0026mdash; the pressure drop along a wavy channel from lubrication theory.\n  * [Slipper pad bearing](slipper_pad_bearing.ipynb) \u0026mdash; a classic application of Reynolds' lubrication equation.\n\n* Dimensional analysis:\n  * [Dimensional analysis](dimensional_analysis.ipynb) \u0026mdash; Buckingham's $\\Pi$ theorem is just the rank\u0026ndash;nullity theorem in disguise.\n  * [Taylor and the bomb](Taylor_and_the_bomb.ipynb) \u0026mdash; how G. I. Taylor estimated the energetic yield of the Trinity test.\n\n⚠️ The notebooks are unlikely to be robust and may require updates to run on different platforms, and as underlying Python libraries evolve.\n\n📝 Also, checkout the [handouts](handouts) folder.\n\n📚 Some resources for self-learning Jupyter, Python and $\\LaTeX$:\n\n* Google Colaboratory lets open Jupyter notebooks from GitHub and run them in the cloud from your browser: \u003chttps://colab.research.google.com\u003e.\n  * See the [getting started with Markdown](https://www.markdownguide.org/getting-started/) guide for how to write nice discussion between your computational cells in the Jupyter notebook.\n  * More advanced programmers may find the following links useful: [Introduction to Git in VS Code](https://code.visualstudio.com/docs/sourcecontrol/intro-to-git), [Jupyter Notebooks in VS Code](https://code.visualstudio.com/docs/datascience/jupyter-notebooks).\n\n* Check out [PY4E](https://www.py4e.com) \u0026ndash; Python for Everybody \u0026ndash; for free materials for learning how to program in Python.\n  * The first few lectures of [ME 297 - Introduction to Data Science for Mechanical Engineers](https://github.com/PurdueMechanicalEngineering/me-297-intro-to-data-science ) also cover getting started with Scientific Python.\n\n* For all your math typesetting needs: D. F. Griffiths and D. J. Higham, [_Learning LaTeX_](https://epubs.siam.org/doi/book/10.1137/1.9781611974423), 2nd ed, SIAM.\n","project_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fichristov%2Fintermediate-fluid-mechanics","html_url":"https://awesome.ecosyste.ms/projects/github.com%2Fichristov%2Fintermediate-fluid-mechanics","lists_url":"https://awesome.ecosyste.ms/api/v1/projects/github.com%2Fichristov%2Fintermediate-fluid-mechanics/lists"}