11. Fluid Dynamics Overview
The chapter discusses the analysis of fluid mechanics, emphasizing the calculations of wall and shear stress, stream functions, vorticity, and velocity potential in the context of flow between parallel plates. It explains how to derive these using Navier-Stokes equations while addressing the importance of boundary layers in fluid flow. The concepts are crucial for understanding the interactions between fluid dynamics and forces acting on solids within the flow.
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What we have learnt
- The velocity field can be derived from the Navier-Stokes equations.
- Wall shear stress and stream functions can be calculated using fluid kinematics.
- Boundary layers are crucial for understanding fluid flow, especially in relation to shear stress and turbulence.
Key Concepts
- -- NavierStokes Equations
- Equations that describe the motion of viscous fluid substances, fundamental for analyzing fluid flow.
- -- Vorticity
- A measure of the local rotation of fluid elements, relevant to understanding turbulent flows.
- -- Boundary Layer
- A thin region near a solid boundary where the effects of viscosity are significant, influencing drag and lift forces.
- -- Reynolds Number
- A dimensionless quantity used to predict flow patterns in different fluid flow situations, indicative of whether flow is laminar or turbulent.
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