** Next:** 8.2.3 Brevick's circular model
**Up:** 8.2.2 Brevick's Model
** Previous:** 8.2.2 Brevick's Model

Since Garber's model never work Brevick and co-workers go on a ``fishing
expedition'' in the fluid mechanics literature to find equations to describe
the wave.
They found in Lamb's book several equations relating the wave velocity to the
wave height for a deep liquid (water)^{8}.
Since these equations are for a two dimensional case, Brevick and co-workers
built it for a squared shot sleeve.
Here are the equations that they used.
The ``instantaneous'' height difference
(
) is given as

This equation (), with little rearranging,
obtained a new form

The wave velocity is given by

Brevick introduces the optimal plunger acceleration concept.
``By plotting the height and position of each incremental wave with time,
their model is able to predict the `stability' of the resulting wave front
when the top of the front has traveled the length of the shot sleeve.''^{9}.
They then performed experiments on this ``miracle acceleration
^{10}.''

** Next:** 8.2.3 Brevick's circular model
** Up:** 8.2.2 Brevick's Model
** Previous:** 8.2.2 Brevick's Model
** Contents**
*Genick Bar-Meir ||| www.potto.org
*

copyright Dec , 2006

The pdf version is also available here