I've been studying a few books on PDE's, specifically the heat equation. I have one book that covers this topic in cylindrical coordinates. All the examples are applied to a solid cylinder and result in a general Fourier Bessel series for 3 common cases that can be found easily with an online...
Let's say it's a light water reactor fueled by uranium 233. The goal is to convert enough uranium 233 from Thorium 232 to breakaway from uranium 235. So a conversion rate of 1 or slightly over 1.
I'm trying to visualize this. The upper and lower plates are shared by all the fuel bundles, correct? Would the plates take the diameter of the barrel enclosing the fuel bundles?
I'm studying fast reactors. I can't seem to find a clear answer to my question. I know fast reactors are fueled by either plutonium 239 converting uranium 238, or uranium 233 converting thorium 232, or fueled by highly enriched uranium. Which is the better and why?
I found the density of carbon and iron:
ρ_fe=7.87 g/〖cm〗^3
ρ_c=2.26 g/〖cm〗^3
Using equation 2:
atom density of iron and carbon
N_fe = 8.48e22 cm^-3
N_c = 1.13e23 cm^-3
Using equation 1:
macroscopic scatter and absorption cross sections of iron and carbon
Σ_a,fe = .217 cm^-1...
I calculate the gravity force
F = mg = (-9806.6)*(5.26e-1) = -5158 (mm^2*kg)/s^2
I get the moment
M = F*r = (-3.5e5)*(-6.81e1) = 3.5e5 (mm^2 * kg) / s^2 Where r is the y coordinate distance from origin to centroid
J = (Ix'...
Yes, hypersonic flow. What does it tell me then? I notice my plate has a larger boundary thickness across the length but the cone has a larger frequency. What can I conclude from this?
In this case I am using the script mentioned from my other post to obtain properties at the leading edge of a flat plate and cone both at 0 angle of attack. The boundary layer was calculated assuming a constant temperature wall.