{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

# p09fl33 - Lecture 33 Hydrodynamics(18 Nov 09 A Beginnings 1...

This preview shows pages 1–2. Sign up to view the full content.

Lecture 33: Hydrodynamics (18 Nov 09) A. Beginnings 1. FW Sec. 48 2. This is an ad hoc approach to the dynamics of a continuous fluid. More systematic (statistical physics) approach starts from the N -particle dis- tribution with particle-particle interactions and works to get an equa- tion of motion for the 1-body averages. There are a few conservation laws: mass, energy, total momentum. Force terms reflect both the external forces and the interparticle forces. 3. Text introduces the subject using isotropic simple fluid. Then for a small volume boundary by a surface, (1) there is a force/area P , the pressure, (2) P is normal, the bounding surfaces [i.e., no shear], and (3) P is independent of the orientation of the surface element. However, P may depend on position r and then there are gradients of P and hence net forces on a volume element. 4. Calculate forces on face x of dV = dx × dy × dz : F x = [ P ( x, y, z ) - P ( x + dz, y, z )] dydz ’ - ∂P ∂x dV 5. The acceleration term of a volume element is d v dt = v ∂t + v · ~ r v where d/dt

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

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 4

p09fl33 - Lecture 33 Hydrodynamics(18 Nov 09 A Beginnings 1...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online