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Having all the required components to model the complex stub
hole cast iron/anode carbon contact resistance complex physic in
ANSYS® version 12.0, it was quite strait forward for the author to
take advantage of the classic ANSYS® parametric design language
(APDL) to develop some demonstration anode stub hole models
and to used them as efficient stub hole design tools.
First demonstration model

The first demonstration anode stub hole model presented here is a
quarter stub hole model that would represents the quarter of an
anode for a 1 stub per anode block anode design, 1/8 of an anode
for a 2 stubs per anode block anode design, 1/12 of an anode for a
3 stubs per anode block anode design etc. (see figure 1 for the full
model mesh). In such a quarter stub model, it is easy to support
stub hole design having 4, 8, 12, 16 standard inclined flutes. The
first model presented here is using the 8 flutes option (see figure 2
for the cast iron only model mesh).
Figure 1:
Quarter stub hole thermo-electro-mechanical model,
full mesh
This defined the model topology leaving the option to model
thousands of different actual anode stub hole geometries. Per
example, it is possible to vary the stub diameter, the stub hole
depth, the minimum cast iron thickness between flutes, and the
flute dimensions: width at the base, width at the tip and depth.
For all the cases presented here, the stub diameter was kept to 18
cm and the stub hole depth was kept to 12 cm. For the first case
presented, the minimum cast iron thickness was set to 12 mm, the
flute width at the base was set to 18 mm, the flute width at the tip
was set to 14 mm and the flute depth was set to 8 mm. This
geometric setup gives an average of 14 mm of cast iron thickness
between the stub and the anode carbon which, according to Brooks
[12], is the main stub hole design criteria.
Figure 2:
Quarter stub hole thermo-electro-mechanical model:
cast iron mesh 8 flutes design
This geometric setup was analyzed two different ways, in the first
model run, the "traditional" constant contact resistance setup was
used, a typical value of 2 micro-ohm m2 being selected for that
constant value. The model prediction for that run is 286 mV for the
total voltage drop from the top of the stub to the bottom face of the
anode block (see figure 3).
Figure 3:
Model predicted voltage drop for the constant
contact resistance setup (V)