Boundary Layer Instability

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Laminar Flow: Shear between Parallel Plates

Explores laminar shear flow between parallel plates for incompressible fluids.

Solid mechanics in biomechanics: Large strain and stress definitions

Explores large strain in soft tissues and various stress definitions in solid mechanics.

Deformation Analysis: Small Strain and Kinematics

Explores small strain theory, kinematics, and compatibility conditions in solid mechanics.

Velocity Boundary Layer Equations

Focuses on velocity boundary layer equations in laminar flow and covers mass and momentum conservation, Navier-Stokes equations, and the Reynolds number.

Spatially Developing Shear Flows: Instability

Explores the spatial development of shear flows and various flow instabilities, focusing on the Kelvin-Helmholtz instability and related phenomena.

Modes of Momentum Transport and Viscosity

Explores momentum transport modes, fluid density, viscosity, and Newton's law, with examples and exercises.

Theory of Elasticity

Explores the theory of elasticity, including Hooke's law, strain tensors, stress tensor, and thermodynamics of deformation.

Bernoulli's Equation and Viscosity

Explores Bernoulli's equation, viscosity effects, shear stress, Poiseuille's law, Reynolds number, flow types, and lift/drag forces.

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

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

The stress tensor: representation and properties

Explores the stress tensor representation, interpretation, and properties, emphasizing the sign convention for normal and shear stresses.