10.6. Nomenclature
Symbols |
Definition |
Units |
|---|---|---|
\(A\) |
Atom fraction, e.g., Eq. (10.3-7) or coefficients of the quadratic function of temperature for fuel thermal conductivity, e.g., Eq. (10.3-52) and Eq. (10.3-61). |
|
\(a\) |
Atomic weight |
|
\(B\) |
Coefficient of the quadratic function of temperature for fuel thermal conductivity, e.g., Eq. (10.7-12) to Eq. (10.7-14) |
|
\(Bu\) |
Fuel burnup |
atom % |
\(C\) |
Plutonium alloying coefficient in thermal conductivity Eq. (10.3-102) |
|
\(C_{\text{p}}\) |
Specific heat |
J/kg-K |
\(c\) |
Coefficient of the quadratic term in the simplified enthalpy Eq. (10.3-26) |
|
\(D\) |
Value of determinants in Cramer’s rule for solving a system of linear algebraic equations |
|
\(f_{\text{o}}\) |
Heavy-metal mass fissioned expressed as a percentage of U-Pu-Zr alloy post-irradiation mass |
|
\(H\) |
Enthalpy |
J/mol |
\(h\) |
Enthalpy |
J/kg |
\(K\) |
Thermal Conductivity |
W/m-K |
\(K_{\text{pt}1}\) |
Thermal conductivity of a pore tube containing a fission gas-filled pore |
W/m-K |
\(K_{\text{pt}2}\) |
Thermal conductivity of a pore tube containing a logged sodium-filled pore |
W/m-K |
\(L\) |
Length, e.g., Eq. (10.3-44) or Lorenz number in Q. Eq. (10.3-68) |
m or W-Ω/K2 |
\(M\) |
Mass |
kg |
\(m_{\text{a}}\) |
One atomic mass unit, \(1.6592828 \times 10^{-27}\) kg |
kg |
\(N\) |
Number of atoms, e.g., Eq. (10.3-34) or number of fissions, e.g., Eq. (10.3-35) or number of pairs of temperature and enthalpy values, e.g., Eq. (10.3-37) |
|
\(Na\) |
Avogadro’s number, \(6.02472 \times 10^{26}\) molecules/kg-mole |
/kg-mole |
\(P'\) |
Porosity fraction relative to the 100%-dense volume |
|
\(P_{\text{c}1}\) |
Areal fraction of a face of a unit cell that is occupied by a sodium-filled pore, e.g., Eq. (10.3-72) |
|
\(P_{\text{c}2}\) |
Areal fraction of a face of a unit cell that is occupied by a sodium-filled pore, e.g., Eq. (10.3-72) |
|
\(P_{\text{g}}\) |
Gas-filled porosity fraction relative to the swollen fuel volume |
|
\(P_{\text{I},1}\) |
Fraction of the side (in heat flow direction) of a unit cell that is occupied by a gas-filled pore |
|
\(P_{\text{I},2}\) |
Fraction of the side (in heat flow direction) of a unit cell that is occupied by a sodium-filled pore |
|
\(P_{\text{Na}}\) |
Sodium-filled porosity fraction relative to the swollen fuel volume |
|
\(T\) |
Temperature |
K |
\(V\) |
Volume |
m3 |
\(v\) |
Characteristic volume of an atom |
m3 |
\(W\) |
Weight fraction |
|
\(X_{\text{i}}\) |
Weight fractions of the 3 database alloys to be mixed to produce the desired fuel composition |
|
\(x\) |
Zr weight fraction in the U-Zr binary database alloy used in enthalpy region 1 or thermal conductivity region 3 |
|
\(Y_{\text{i}}\) |
Atom fractions of the 3 database alloys to be mixed to produce the desired fuel composition |
|
\(\alpha\) |
Coefficient of linear thermal expansion |
per K |
\(\Delta L\) |
Linear thermal expansion from 293K |
m |
\(\rho\) |
Density, e.g., Eq. (10.3-32) or electrical resistivity in Eq. (10.3-68) |
kg/m3 or Ω-m |
\(\sigma\) |
Standard deviation |
|
Subscripts: |
||
\(\text{a}\) |
Desired alloy or desired database alloy |
|
\(\text{c}\) |
Centigrade temperature scale |
|
\(\text{f}\) |
Fission, e.g., Eq. (10.3-38) or solid fission products, e.g., Eq. (10.3-40) or desired fuel, e.g., Eq. (10.3-61) |
|
\(\text{g}\) |
Fission gas |
|
\(\text{h}\) |
Heavy metals |
|
\(\text{i}\) |
Index for fuel constituents (I - U, Pu, Zr) or index for the 3 database alloys of a region of interpolation |
|
\(\text{l}\) |
Liquidus or molten liquid |
|
\(\text{Na}\) |
Sodium |
|
\(\text{o}\) |
Fabricated condition, e.g., Eq. (10.3-33) or 100%-dense unirradiated condition, e.g., Eq. (10.3-72) or a specified temperature, e.g., Eq. (10.3-44) |
|
\(\text{p}\) |
Plutonium |
|
\(\text{s}\) |
Solidus |
|
\(\text{sfp}\) |
Solid fission products |
|
\(\text{th}\) |
Theoretical |
|
\(\text{u}\) |
Uranium |
|
\(\text{uz}\) |
U-Zr binary alloy |
|
\(\text{u50}\) |
U-50 atom % Zr binary alloy |
|
\(\text{z}\) |
Zirconium |
|
\(\alpha\) |
Lowest-temperature solid-state phase (α-phase) |
|
\(\gamma\) |
Highest-temperature solid-state phase (γ-phase) |