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Rigid body dynamics

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(1)

Rigid body dynamics

Force F Mass m

x

2 2

md x F dt = Newton’s equation of motion is:

Problem is to calculate x(t)given the force F

Fluid dynamics problems

¾ The force field is determined by the overall constraints provided by

– the requirement of continuity – the boundary conditions

¾ In particular, the pressure field at any instant is determined by the flow configuration

– I will now illustrate this with an example!

(2)

Fluid dynamics problems

¾ The object is to calculate the flow field U(x,y,z,t)in a given region subject to appropriate boundary conditions and the constraint of continuity.

¾ The calculation of the force field (i.e. the pressure field) may not be necessary, depending on the solution method.

U

U

pump isobars

streamlines

HI

HI

LO LO

HI

Assumptions:inviscid, irrotational, incompressible flow

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