Lectures related to Instability Analysis: Linearized Equations and Dispersion Relation

Turbulence: Numerical Flow Simulation

Explores turbulence characteristics, simulation methods, and modeling challenges, providing guidelines for choosing and validating turbulence models.

Kelvin-Helmholtz and Rayleigh Taylor Instabilities

Explores Kelvin-Helmholtz and Rayleigh Taylor instabilities, kinematic conditions, linearized equations, and normal mode expansion.

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Fluid Mechanics: Foundations and Applications

Covers the foundations of fluid mechanics, focusing on flow problem descriptions and solutions.

Drag on a Sphere and Newtonian Fluid Mechanics

Covers the analysis of drag on a sphere in Newtonian fluid mechanics, focusing on key parameters and the significance of Reynolds number.

Fluid Dynamics: Differential Conservation Laws and Equations

Covers the differential approach to fluid dynamics, focusing on conservation laws and the Cauchy stress tensor.

Newton's 2nd Law: Fluid Dynamics

Discusses Newton's 2nd Law in fluid dynamics and incompressible Newtonian fluids.

Inviscid Flows: Understanding Fluid Dynamics

Explores inviscid flows, Reynolds number importance, linear deformations, and volume change in fluid dynamics.

Fluid Friction Forces

Explores fluid friction forces, including laminar and turbulent flow, viscosity, and terminal velocity calculation.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

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.

Linear Equations and Matrices

Introduces linear equations, matrices, systems of equations, and solution sets for 2 or 3 unknowns.

Introduction to ODEs: System of 1st Order ODEs

Introduces Ordinary Differential Equations (ODEs) and their applications in physics, covering basics, initial value problems, and linear ODEs.

Fluid Kinematics: Streamlines, Pathlines, and Streaklines

Covers fluid kinematics, focusing on streamlines, pathlines, and streaklines in fluid flow visualization.

Laminar Flow: Shear between Parallel Plates

Explores laminar shear flow between parallel plates for incompressible fluids.

Introduction to Free Convection: Governing Equations

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

Numerical Flow Simulation: Boundary Conditions

Covers the numerical simulation workflow for fluid dynamics, focusing on boundary conditions and their importance for solution convergence.

Viscous Flow in Newtonian Fluids

Explores viscous flow in Newtonian fluids, focusing on no-slip conditions and laminar shear flow equations.

Linear Equations: Introduction and Solutions

Covers the introduction and solutions of linear equations, including methods for solving systems and determining the number of solutions.

Dynamic Boundary Conditions

Explores dynamic boundary conditions in fluid mechanics, perturbation techniques, and fluid stability analysis.