Shreyas Mandre

University Associate Professor of Fluid-Structure Interaction
Department of Engineering, University of Cambridge
       

Teaching

The handwritten, typed and recorded version of courses I teach. Certainly useful for students who want to learn these subjects are are currently taking a course with me, or equivalent. Also useful for those who have taken a course I taught and might want to refer to the notes for a quick refresh (if you are one of those, do drop me a line or connect on social media).

  1. Dimensional analysis
    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.

  2. Fluid-structure instability
    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:

  3. Fluid Dynamics
    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:

  4. Mechanics of fluid 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.