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

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

View Full Document Right Arrow Icon
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
Image of page 1

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

View Full Document Right Arrow Icon
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
Image of page 2