Chapter10

# Chapter10 - Vorticity and Viscosity We have seen that there...

This preview shows pages 1–6. Sign up to view the full content.

Vorticity and Viscosity Vorticity and Viscosity z We have seen that there is direct connection between vorticity and the force that develops on an object moving through a fluid z In this chapter, we will prove that there is no physical mechanism for developing vorticity in an inviscid fluid for most practical applications Helmholtz’s Theorem d’Alembert’s Paradox z We will see how viscosity provides a mechanism for developing vorticity Navier-Stokes Equation Boundary Layers, Separation z We will discuss lift and drag on common objects

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
The Vortex Force The Vortex Force - - 1 1 z To understand the connection between vorticity and the force on an object moving through a fluid, recall that we can write Euler’s Equation as z The term proportional to u × ω acts like a Coriolis acceleration…moving it to the right-hand side… z As indicated, we call this the vortex force ω = vorticity = ρ ( u ) u