Plugging temperature indicator computer simulation Page: 3 of 7
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Calculating the temperature change with time utilizes an equation of thermal energy,
p [C T + VT =kV2T+H, 5
C, = constant pressure fluid heat capacity,
T = linear fluid velocity through filter,
t = time,
v = velocity vector,
k = thermal conductivity,
H = external heat source,
that assumes a Newtonian fluid at constant pressure, constant thermal conductivity, no viscous
dissipation, and an external heat source. Using cylindrical coordinates and ignoring temperature
gradients in the radial and angular directions, the energy equation simplifies to,
- aT 1T 32T6
pCp at + az kaz2+H.
In a numerical solution of equation 6, the parameters 'p', 'CP,', 'k', and 'H' are considered
constant for small time increments. The external heat source is from heater input and losses from
both natural and forced convection.
After programming the equations needed to determine the temperature change with time,
along with proportional-integral-derivative control techniques, and knowledge of the impurities in
the sodium, simulated plugging runs look similar to real plugging runs (see Fig. 2). As a
diagnostic tool, the simulation program can perform simulated plugging runs in minutes instead of
hours and was useful in helping electrical engineers bench-check new control software without
having to operate a real PTI.
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Vaden, D.E. Plugging temperature indicator computer simulation, article, May 1, 1996; Illinois. (digital.library.unt.edu/ark:/67531/metadc671360/m1/3/: accessed September 25, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.