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List of Figures
1-1
Single stage EHD thruster. . . . . . . . . . . . . . . . . . . . . . . . .
16
2-1
Concentric cylinders for model problem.
. . . . . . . . . . . . . . . .
28
3-1
Fifth order DG element, nodes are shown with small perturbations to
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
3-2
Model problem solution for ra = 0.01 m, po = 10-- Cm- 3, and
3-3
Dual stage thruster geometry.
4-1
Model problem normalized residuals for ra = 0.01 m, po
and # o = 5kV .
4-2
Plot of log|en
1
#o
= 5 kV. 47
. . . . . . . . . . . . . . . . . . . . . .
= 10-5
50
L2 for identical meshes with basis func-
log|e91
tions of order k. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
Cm- 3, and
#o =
Model problem solution for ra = 0.01 m, po = 10-
4-4
Scalar solution errors for ra = 0.01 m, po = 10-5 Cm-3, and
4-5
Model problem solution for ra = 0.01 m, po = 10-5 Cm-3, and
4-6
Maximum electric field vs. applied voltage for model problem with
inner electrode offset by rb/2, po
=
#o
51
5 kV. 52
4-3
4-7
48
Cm- 3
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
HIL2 vs.
44
,
avoid overlaps.
= 5 kV.
52
o = 5kV. 53
0 Cm-3. . . . . . . . . . . . . . . .
54
Maximum and minimum electric field strength on emitter surface as a
function of charge density.
. . . . . . . . . . . . . . . . . . . . . . . .
55
. . . . . . . . . . . . . . . . . . . . .
56
4-8
Potential solution for V = 150
4-9
Electric field and charge density solution for V = 150 kV, po = 1 x 10-4 Cm- 3. 56
4-10 Charge density gradient and current density solution for V = 150 kV,
po = I x 10-4 Cm-3.
. . . . . . . . . . . . . . . . . . . . . . . . . . .
9
57