Lectures related to Numerical Analysis of Incompressible Fluid Flow

Fluid Dynamics: Bernoulli Equation

Explores the Bernoulli equation in fluid dynamics, emphasizing assumptions and practical applications in solving fluid mechanics problems.

Bernoulli Equation: Fluid Flow and Pressure Variation

Demonstrates Bernoulli's equation for gas fluid flow and pressure variation, including velocity estimation for water spilling out of a hole.

Dynamics of Steady Euler Flows: New Results

Explores the dynamics of steady Euler flows on Riemannian manifolds, covering ideal fluids, Euler equations, Eulerisable flows, and obstructions to exhibiting plugs.

Fluid Flow Forces: Navier-Stokes Equation

Explores the limitations of the Bernoulli equation in fluid flow and introduces the Navier-Stokes equation.

Velocity Potential and Momentum Balance

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

Internal Forced Convection: Hydrodynamic Aspects

Covers the hydrodynamic and thermal aspects of internal forced convection.

Introduction to Free Convection: Governing Equations

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