5. Introduction to Viscous Fluid Flow
The chapter delves into the concept of viscous fluid flow, focusing on the derivation of the Navier-Stokes equation. It revisits fundamental fluid properties while emphasizing kinematic aspects such as substantial and local derivatives. The lecture progresses through various types of fluid motion and deformation, analyzing strain rates and rotation of fluid elements.
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Sections
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What we have learnt
- Fluids deform continuously under shear forces, distinguishing them from solids.
- Key properties of fluids include kinematic, transport, thermodynamic, and miscellaneous properties.
- Understanding material derivatives is essential in studying fluid dynamics, particularly in deriving important equations like Navier-Stokes.
Key Concepts
- -- Viscous Fluid Flow
- The flow regime where the fluid exhibits viscosity, affecting its motion due to internal friction.
- -- NavierStokes Equation
- A fundamental equation describing the motion of viscous fluid substances, derived from the principles of conservation of momentum and mass.
- -- Material Derivative
- A derivative that accounts for both the local rate of change and the convective changes of a fluid property.
- -- Strain Rate
- A measure of how fast a fluid element deforms over time, crucial in understanding fluid motion and behavior.
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