10. Motion and Deformation of Fluid Particle
The chapter explores the concepts of fluid mechanics, particularly focusing on boundary layer formations and vorticity. It differentiates between rotational and irrotational flows, explaining how viscous effects dominate within boundary layers, leading to the formation of eddies. The chapter also introduces the stream functions and their role in analyzing fluid flow, including examples that illustrate these principles in practical scenarios.
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Sections
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What we have learnt
- Boundary layers form where viscous effects dominate due to large velocity gradients.
- Vorticity indicates rotation in fluid particles, differentiating between rotational and irrotational flows.
- The concepts of steady and irrotational flow can be analyzed through stream functions and continuity equations.
Key Concepts
- -- Boundary Layer
- A thin region near the surface of an object where viscous effects dominate due to rapid changes in velocity.
- -- Vorticity
- A measure of the local rotation in a fluid, defined as the curl of the velocity field.
- -- Stream Function
- A mathematical function used to describe the flow of a fluid, where the flow is steady and incompressible.
- -- Irrotational Flow
- Flow where the fluid particles move without rotation.
- -- Rotational Flow
- Flow that includes rotation of the fluid particles, typically seen within boundary layers.
Additional Learning Materials
Supplementary resources to enhance your learning experience.