================================================================================ Nomenclature ================================================================================ .. list-table:: :header-rows: 1 :align: center :widths: 1,4,1 * - Symbols - Definition - Units * - :math:`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`. - * - :math:`a` - Atomic weight - * - :math:`B` - Coefficient of the quadratic function of temperature for fuel thermal conductivity, e.g., :eq:`A10.2-1` to :eq:`A10.2-3` - * - :math:`Bu` - Fuel burnup - atom % * - :math:`C` - Plutonium alloying coefficient in thermal conductivity :eq:`10.3-102` - * - :math:`C_{\text{p}}` - Specific heat - J/kg-K * - :math:`c` - Coefficient of the quadratic term in the simplified enthalpy :eq:`10.3-26` - * - :math:`D` - Value of determinants in Cramer's rule for solving a system of linear algebraic equations - * - :math:`f_{\text{o}}` - Heavy-metal mass fissioned expressed as a percentage of U-Pu-Zr alloy post-irradiation mass - * - :math:`H` - Enthalpy - J/mol * - :math:`h` - Enthalpy - J/kg * - :math:`K` - Thermal Conductivity - W/m-K * - :math:`K_{\text{pt}1}` - Thermal conductivity of a pore tube containing a fission gas-filled pore - W/m-K * - :math:`K_{\text{pt}2}` - Thermal conductivity of a pore tube containing a logged sodium-filled pore - W/m-K * - :math:`L` - Length, e.g., :eq:`10.3-44` or Lorenz number in Q. :eq:`10.3-68` - m or W-Ω/K\ :sup:`2` * - :math:`M` - Mass - kg * - :math:`m_{\text{a}}` - One atomic mass unit, :math:`1.6592828 \times 10^{-27}` kg - kg * - :math:`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` - * - :math:`Na` - Avogadro's number, :math:`6.02472 \times 10^{26}` molecules/kg-mole - /kg-mole * - :math:`P'` - Porosity fraction relative to the 100%-dense volume - * - :math:`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` - * - :math:`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` - * - :math:`P_{\text{g}}` - Gas-filled porosity fraction relative to the swollen fuel volume - * - :math:`P_{\text{I},1}` - Fraction of the side (in heat flow direction) of a unit cell that is occupied by a gas-filled pore - * - :math:`P_{\text{I},2}` - Fraction of the side (in heat flow direction) of a unit cell that is occupied by a sodium-filled pore - * - :math:`P_{\text{Na}}` - Sodium-filled porosity fraction relative to the swollen fuel volume - * - :math:`T` - Temperature - K * - :math:`V` - Volume - m\ :sup:`3` * - :math:`v` - Characteristic volume of an atom - m\ :sup:`3` * - :math:`W` - Weight fraction - * - :math:`X_{\text{i}}` - Weight fractions of the 3 database alloys to be mixed to produce the desired fuel composition - * - :math:`x` - Zr weight fraction in the U-Zr binary database alloy used in enthalpy region 1 or thermal conductivity region 3 - * - :math:`Y_{\text{i}}` - Atom fractions of the 3 database alloys to be mixed to produce the desired fuel composition - * - :math:`\alpha` - Coefficient of linear thermal expansion - per K * - :math:`\Delta L` - Linear thermal expansion from 293K - m * - :math:`\rho` - Density, e.g., :eq:`10.3-32` or electrical resistivity in :eq:`10.3-68` - kg/m\ :sup:`3` or Ω-m * - :math:`\sigma` - Standard deviation - * - Subscripts: - - * - :math:`\text{a}` - Desired alloy or desired database alloy - * - :math:`\text{c}` - Centigrade temperature scale - * - :math:`\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` - * - :math:`\text{g}` - Fission gas - * - :math:`\text{h}` - Heavy metals - * - :math:`\text{i}` - Index for fuel constituents (I - U, Pu, Zr) or index for the 3 database alloys of a region of interpolation - * - :math:`\text{l}` - Liquidus or molten liquid - * - :math:`\text{Na}` - Sodium - * - :math:`\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` - * - :math:`\text{p}` - Plutonium - * - :math:`\text{s}` - Solidus - * - :math:`\text{sfp}` - Solid fission products - * - :math:`\text{th}` - Theoretical - * - :math:`\text{u}` - Uranium - * - :math:`\text{uz}` - U-Zr binary alloy - * - :math:`\text{u50}` - U-50 atom % Zr binary alloy - * - :math:`\text{z}` - Zirconium - * - :math:`\alpha` - Lowest-temperature solid-state phase (α-phase) - * - :math:`\gamma` - Highest-temperature solid-state phase (γ-phase) -