8. Navier-Stokes Equation part 2
The chapter covers the Navier-Stokes equations, focusing on their derivation, assumptions, and applications in fluid dynamics. The importance of simplifying these equations for analytical solutions, particularly in incompressible flows, is emphasized. Additionally, it explores the linkage between Navier-Stokes and Bernoulli’s equations, outlining the conditions necessary for their application.
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Sections
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What we have learnt
- The Navier-Stokes equations consist of mass conservation and momentum equations for incompressible flow.
- Key assumptions include treating fluid as Newtonian, maintaining constant viscosity, and considering incompressibility.
- The simplification of the Navier-Stokes equations leads to the Euler equations under certain conditions.
Key Concepts
- -- NavierStokes Equations
- A set of equations derived from the principles of conservation of mass and momentum used to describe fluid motion.
- -- Continuity Equation
- An equation that represents the principle of mass conservation in a steady flow.
- -- Euler Equations
- Simplified forms of the Navier-Stokes equations applicable to inviscid flows.
- -- Bernoulli's Equation
- An equation that describes the conservation of energy in a flowing fluid, drawn from Euler's equations under steady flow assumptions.
Additional Learning Materials
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