Joshua Cude, and other astute observerse:
We could model an exothermic reactions with unlimited (over the course of
the experiment) heat generation as a simple bump function.
A simple bump function for this is p = p_o / {1+[(T-T_o)/T_w]^2 }.
At T=T_o the power, p is maximal.
T_w is the half-width of the bump function. When T-T_o=T_w the power
evolution is halved.
On the rising side of the bump an increase in temperature will result in an
increased evolution of energy. This part of the curve could have
real-time-control problems due to positive feedback such as to make control
nonexistent. More heat evolution results in a higher temperature, and a
higher temperature evolves more heat increasing the temperature, etc, etc.
On the falling side of the bump function, increasing the temperature
decreases the evolved energy and the process is essentially self regulating
and the control problem vanish. It is self regulating.
If there is evidence from the reports that indicate that the alleged
reaction would be operating on the divergent, rising side of the curve, a
disproof of the assertion of thermal energy gains in the order of 5:1, 6:1,
8:1, or better might be made.
There seems to be a maximum dE/dT slope after which there is no possibility
of reducing the reaction rate, but where it will continue to increase when
the control input goes to zero. E is the evolved energy, and T is the
temperature for any given reactant volume.
However there may be an interesting problem with this sort of disproof upon
spatial dimensional rescaling:-
Control heat energy is introduced over an area. Total heat evolution is a
function of volume.
In other words, there may be a disproof for a reactor of typical dimension
X, that is not a disproof for a reactor of typical dimension 10X (or 1/10th
X.)
On Fri, Jul 22, 2011 at 10:11 AM, Joshua Cude <[email protected]> wrote:
[Snip...Stuff said about a sustained exothermic reaction]
