6. Viscous Fluid Flow (Contd.)
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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Sections
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1.1Lecture – 49
What we have learnt
- Vorticity is defined as the curl of the velocity vector and is twice the rate of rotation in a fluid.
- Shear strain and extensional strain rates are important for analyzing fluid deformation.
- The chapter prepares for deriving equations of continuity and momentum for fluid dynamics.
Key Concepts
- -- Vorticity
- A measure of the local rotational motion of a fluid, represented as the curl of the velocity vector.
- -- Shear Strain
- The average decrease of the angle between two sides within a fluid, indicating how the fluid layers slide past one another.
- -- Extensional Strain
- The rate of change in length of a fluid element compared to its original length, critical for understanding fluid expansion.
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