https://www.shreyasmandre.com/teaching/ Recent content in Teaching on Shreyas Mandre Hugo -- gohugo.io en-us Thu, 13 Jan 2022 07:24:09 +0000 https://www.shreyasmandre.com/teaching/dimensionalanalysis/ Sun, 23 Aug 2026 00:00:00 +0000 https://www.shreyasmandre.com/teaching/dimensionalanalysis/ Almost every quantity in engineering and the sciences carries units, and that single fact constrains the form any physical law can take. These notes develop that constraint into a working method: how to choose a system of dimensions, how to reduce a relationship to its dimensionless parameters, and what Buckingham’s Pi theorem does and does not tell you. The final chapter puts it to work on experimental data and on scale models. https://www.shreyasmandre.com/teaching/fluidstructureinteraction/ Sat, 22 Aug 2026 00:00:00 +0000 https://www.shreyasmandre.com/teaching/fluidstructureinteraction/ A university course on the instabilities that arise when a fluid flow and a deformable structure interact. (Taught at Cambridge as 4A10, Flow Instability and Fluid-Structure Interaction.) The HTML and PDF lecture notes may be found at this link. Here is the learning material: https://www.shreyasmandre.com/teaching/fluiddynamics/ Thu, 13 Jan 2022 07:33:50 +0000 https://www.shreyasmandre.com/teaching/fluiddynamics/ A university course in fluid dynamics for undergraduates in Maths and Physics. (Some version of this is taught at Warwick as MA3D1 and at Brown as ENGN0810.) The HTML and PDF lecture notes may be found at this link. Here is the learning material, including recordings of videos made in the unusual year of 2020: https://www.shreyasmandre.com/teaching/interfaces/ Thu, 13 Jan 2022 06:20:01 +0000 https://www.shreyasmandre.com/teaching/interfaces/ This material treats the mechanics that arises from the presence of surface tension of liquid interfaces. Liquid interface dynamics, especially due to the action of surface tension, has always been and remains one of the most interesting topics in mechanics. Even the discovery of surface tension or the first measurement of surface tension was not trivial. Today, as certain aspects of our world are miniaturized due to the emergence of “nanotechnology”, effects of surface tension are more imminently noticeable.