Fluid Dynamics: Euler Equations

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Covers the concise local statement of linear momentum balance and continuity, emphasizing the importance of continuity in analyzing particle motion.

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Explores closed and non-closed surfaces, divergence theorem, Stokes theorem, and fluid properties in fluid dynamics and electromagnetism.

Energy Conservation: The First Law of Thermodynamics

Covers the first law of thermodynamics, focusing on energy conservation and its implications in fluid dynamics.

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

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

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.

Conservation of Angular Momentum: Stress Balance

Covers the conservation of angular momentum and stress balance in mechanics.

Linear Momentum Balance in Continuum Mechanics

Covers the evaluation of linear momentum balance in continua, focusing on stress vectors and tensors, and deriving the governing equations for momentum conservation.

Turbulence and Symmetry

Explores turbulence, symmetry, and the impact of Reynolds number on flow behavior.

Control Volume and System

Explains control volume, system, mass conservation laws, and Reynolds transport theorem with practical examples and theoretical derivations.

Divergence Theorem: Green Identities in R²

Explores the divergence theorem and corollaries related to Green identities in the plane, demonstrating their application through examples.