Lectures related to Fluid Mechanics: Fundamentals and Applications

Continuum Mechanics: Conservation Laws and Kinematics

Introduces continuum mechanics, focusing on conservation laws and kinematics for continuous media.

Fluid Mechanics: Foundations and Applications

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

Covers the foundations of incompressible fluid mechanics, conservation laws, and general flow equations, with a focus on practical issues and class logistics.

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Fluid Dynamics: Eulerian and Lagrangian Approaches

Covers the Eulerian and Lagrangian approaches in fluid dynamics, emphasizing their applications in analyzing fluid flow.

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.

Understanding Turbulence

By the instructor Tobias Schneider explores the fundamental aspects of turbulence and its significance in various scientific disciplines.

Angular Momentum Balance in Continua

Explores stress tensor symmetry through angular momentum balance in continua, covering topics like energy conservation and constitutive laws.

Conservation Laws and Bernoulli Equation

Covers conservation laws in fluid dynamics, including the Venturi effect and Bernoulli equation.

Fluid Dynamics: Differential Conservation Laws and Equations

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

Linear Momentum Conservation and Stress in Continuum

Explores the conservation of linear momentum and stress in a continuum, focusing on governing equations and constitutive laws.

Continuum Mechanics: Conservation Laws, Tensor Objects, and Fluid Dynamics

Covers conservation laws, tensor objects, and fluid dynamics in Continuum Mechanics.

Variational Methods in Mechanics

Covers variational methods in mechanics, focusing on the Ritz-Galerkin method.

Partial Differential Equations in Biomechanics

Explores the use of PDEs and ODEs in biomechanics, including the Lotka-Volterra model.

Introduction to Free Convection: Governing Equations

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

Biomechanics Modeling: Musculoskeletal System

Explores biomechanical modeling of the musculoskeletal system using differential equations and finite element modeling.

Continuum Mechanics: Theory and Applications

Covers the basics of continuum mechanics, including constitutive laws, stress, dynamics, and fluid motion.

Continuum Mechanics: Forces and Deformation

Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.

Continuum Mechanics: Forces and Motion

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

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.