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MMD > Archives > February 2008 > 2008.02.11 > 02Prev  Next


Effect of Tracker Bar Hose Length on Repetition
By Bob Taylor

When this topic first surfaced, I refrained from joining the discussion.
What often seems to be a simple question results in a complex answer.
In this case the answer lies in the science of fluid dynamics, if one
gets into the full details.  That is really not needed here for most
readers.  The short answer is yes, the longer the tube, the slower the
valve response, all other things being equal.

The purpose of the Ampico B ball bleed is to have the best attributes
of two bleed sizes contained in a single valve.  In general, small
bleeds result in fast "on", large bleeds result in fast "off".  The
ball bleed provides those two sizes in a single valve.  True, the
tracker hose is exhausted at a greater rate when the ball bleed is
open, but that is a result, not a design attribute.  It is a "so what?"
type of thing.

In fluid dynamics, analysis is broken into two categories:
Compressible fluids and non-compressible fluids.  Water is considered
non-compressible.  Air is considered compressible.  But if the air is
always at near atmospheric pressure, we can fudge just a bit and think
of it as non-compressible.   Thus, as air flows through a device such
as a tube, we can think of it as a solid object just like a long dowel
rod in the tube.  That means when we push it further into the tube by
one inch, it instantly moves out the other end by one inch and at the
same speed.

It is this concept that relates to valve response time.  If the tube is
short, the dowel is short and the surface friction between the two is
very small.  Conversely, if the tube is quite long the surface friction
increases to such an extent, that considerable drag friction opposes
the movement of the dowel.  Also, the dowel has mass.  Newton teaches
that if we move a mass by always exerting the same force on it, as the
mass increases, the rate of movement slows down.

In this analysis, the force is the difference in the atmospheric
pressure and the reduced pressure created by the piano pumping source.
If the entire piano is playing at a single vacuum pressure, the longest
tubes from the tracker bar will have the slowest air movement.  As one
contributor suggests, increasing the tube size might correct the slow
repetition.   That fix still does not address the increased mass of the
air within the longer tube.  In fact, increasing the tube size will
further increase the mass.   The mass is probably a lesser factor than
friction in most cases, but can't be ignored.

As far as pouch size and bleed size calculations, they must address
tubing length.   The pouch size and the pouch well determine volume
that must be moved for valve activation.  The bleed is designed to move
that volume at a certain rate, thus bleed size is really a factor of
pouch size.  However, the tube length enters into the volume associated
with the pouch well.

Before digging into that, it is easier just to go back to the short
answer also realizing that a porous pouch can really mess things up, too.

Bob Taylor


(Message sent Mon 11 Feb 2008, 21:18:02 GMT, from time zone GMT-0600.)

Key Words in Subject:  Bar, Effect, Hose, Length, Repetition, Tracker

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