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The chapter covers the fundamentals of viscous fluid flow, leading up to the derivation of the Navier-Stokes equation. Key concepts include vorticity, shear strains, and the rate of rotation within fluids, which are essential for understanding fluid mechanics. Applications of these concepts in real-world scenarios and their interrelation with other physical laws are emphasized throughout the discussions.
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Term: Vorticity
Definition: A measure of the local rotational motion of a fluid, represented as the curl of the velocity vector.
Term: Shear Strain
Definition: The average decrease of the angle between two sides within a fluid, indicating how the fluid layers slide past one another.
Term: Extensional Strain
Definition: The rate of change in length of a fluid element compared to its original length, critical for understanding fluid expansion.