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Lecture
Sailboat Keel Design
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Frontwing Design: EPFL Racing Team
Explores the design of a frontwing for an electric race car to enhance performance through aerodynamics.
Drag on a Sphere and Newtonian Fluid Mechanics
Explores drag on a sphere in Newtonian fluid mechanics, focusing on key parameters and the significance of the Reynolds number in determining the drag force.
Spring Clutches and Torque Limiters
Explains energy injection and reduction in spring clutches and torque limiters.
Bernoulli's Equation and Viscosity
Explores Bernoulli's equation, viscosity effects, shear stress, Poiseuille's law, Reynolds number, flow types, and lift/drag forces.
Fluid-Structure Interactions: Vortex Dynamics and Energy Harvesting
Delves into unsteady deformations of elastic structures driven by vortex shedding and their application in energy harvesting.
Non-inertial Reference Frames & Constraints
Covers forces in non-inertial reference frames, constraints, and the use of pulleys and ropes.
Boundary Layers: Recap and Effects on Drag and Lift
Covers the importance of boundary layers, viscosity effects on drag and lift.
Proper Actions and Quotients
Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.
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Fundamental Groups
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.