Lectures related to Basic Potential Flows: Sources, Sinks, and Vortices

Covers the characteristics and equations related to flow in non-viscous fluids, including mass conservation and momentum conservation.

Explores central force dynamics, conservation laws, and conic sections properties.

Covers mass conservation, Navier-Stokes equations, vorticity, and potential flow.

Introduces the characteristics of supersonic flows and the conditions for considering irrotational flows.

Explores perfect fluid dynamics, incompressible and irrotational flow, conservation of mass, and the Bernoulli equation.

Covers the transport theorem and fundamental laws in hydrodynamics.

Covers mass conservation, Navier-Stokes equations, and potential flow in incompressible fluid mechanics.

Covers conservation of linear momentum, forces, equations of motion, and potential flow in fluid dynamics.

Discusses velocity potential, momentum balance, and solution strategies for incompressible flows.

Covers the governing equations for forces and motion in continua, including stress, energy conservation, solid deformation, and fluid motion.

Covers energy conservation principles in turbomachinery, focusing on the Bernoulli equation and its applications in real-world scenarios.

Introduces powerful tools for analyzing fluid mechanics problems, emphasizing mass conservation, Newton's second law, and the continuity equation.

Covers potential flow around 2D bodies, stagnation points, lift and drag forces, and vortices.

Explores uniqueness results for the Poisson equation and harmonic functions with different boundary conditions.

Covers fluid dynamics fundamentals, potential flow theory, and Bernoulli's equation application.

Explores hydraulic jumps in free-surface flow and their momentum conservation implications.

Covers symmetries and conservation laws in fluid dynamics, emphasizing the importance of maximizing symmetries in ideal fluid systems.

Explores free convection, laminar flow boundary layer equations, and heat transfer principles.