Lectures related to Viscous stress tensor

Explores fluid dynamics, covering Navier-Stokes equations, momentum conservation, stresses, and dimensional analysis.

Introduces the conservation of momentum in nozzle flow, deriving an equation resembling the inviscid Navier-Stokes equations.

Fluid Dynamics: Differential Conservation Laws and Equations

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

Navier-Stokes Equations: Hydrodynamics Fundamentals

Covers the fundamentals of hydrodynamics, including the Navier-Stokes equations and stresses in fluids.

Viscous Dissipation and the Slider Bearing

Covers viscous dissipation, stress tensors, and the slider bearing's energy flux and lubrication flow assumptions.

Fluid Dynamics: Bernoulli Equation

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

Incompressible Fluid Mechanics: Differential Analysis

Covers mass and momentum conservation, Navier-Stokes equations, and analytical methods in incompressible fluid mechanics.

Life at Low Reynolds Number: Microorganisms' Adaptation and Propulsion

Explores microorganisms' challenges at small scales, their motility, and propulsion mechanisms.

Inviscid Flows: Understanding Fluid Dynamics

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

Prandtl Equations: Boundary Layer Analysis

Explains Prandtl equations, dominant balance, and boundary layer analysis in fluid dynamics.

Centrifugal Instabilities: Mechanism and Analysis

Covers centrifugal instabilities, Rayleigh criterion, experimental setups, Navier-Stokes equations, base flow analysis, and comparison between theory and experiments.

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Hydrostatics and Archimedes Principle

Explores hydrostatics, Archimedes principle, streamlines, and Newton's second law in fluid dynamics.

Vorticity Conservation and Diffusion

Covers vorticity conservation, diffusion, potential flow, and vortex dynamics.

Additional Forces

Covers Coulomb's force, electric field force, Lorentz force, and friction models.

Friction and Ballistics

Explores ballistic motion equations with friction, emphasizing the impact of viscous forces on trajectory and velocity.

Fluid Dynamics: Reynolds Number and Flow Characteristics

Covers the Reynolds number, flow characteristics, mass flow, and continuity equations in fluid dynamics.

Projectile Motion: Frictional Effects

Discusses projectile motion with friction and systems with inclined planes and pulleys.

Dimensional Analysis and Scaling Laws

Explores dimensional analysis and scaling laws through exercises on Euler buckling and periodic folding of a sheet of paper.

Dimensional Analysis & Scaling Laws

Explores dimensional analysis, scaling laws, and the folding process of materials with an analogy to viscous fluids.