================================================================================
Block 13 --- PMATCM --- Fuel and Cladding Properties
================================================================================

.. default-role:: sasinp

.. sasblock:: PMATCM 13

**Note: Suggested values refer to oxide fuel.**

.. sasinp:: COEFDS (1)
	:location: 1
	:units: kg/m^3

	Solid fuel theoretical density at the reference temperature. Suggested value: 11.08E+3.
	Theoretical fuel density = `COEFDS`\ (1) / [1.0 + (\ `COEFDS`\ (2) + `COEFDS`\ (3) \* (TK-273.15)) \* (TK-273.15)].

.. sasinp:: COEFDS (2)
	:location: 2
	:units: 1/K

	First-order solid fuel volumetric thermal expansion coefficient, ALPHA1.
	Suggested value: 2.04E-5.

.. sasinp:: COEFDS (3)
	:location: 3
	:units: 1/K^2

	Second-order solid fuel volumetric thermal expansion coefficient, BETA1
	Suggested value: 8.70E-9.
	Used only if `IRHOK` > 0. 

.. sasinp:: COEFK (1-7)
	:location: 4-10

	Fuel thermal conductivity coefficients.
	Fuel thermal conductivity = ((\ `COEFK`\ (1) - FDEN) \* FDEN - 1.0) \* ((\ `COEFK`\ (2) + `COEFK`\ (3) \* TK)\ :sup:`-1` + `COEFK`\ (4) \* TK\ :sup:`3`) if FDEN ≤ 0.95, and thermal conductivity = (3.0 \* FDEN -1.0) \* ((\ `COEFK`\ (5) + `COEFK`\ (6) \* TK)\ :sup:`-1` + `COEFK`\ (7) \* TK\ :sup:`3`) if FDEN > 0.95, where FDEN is fractional fuel density.
	Suggested values: 2.1, 2.88E-3, 2.52E-5, 5.83E-10, 5.75E-2, 5.03E-4, 2.91E-11.
	Used only if `IRHOK` = 2. 

.. sasinp:: EXKTB (L,ICLAD)
	:location: 11-70
	:units: W/m-K

	Table of clad thermal conductivity values for clad *ICLAD*, 1 ≤ *L* ≤ 20. See `EXKTM`
	for corresponding temperature values.
	
	If only `EXKTB`\ (1) is entered, property is temperature-independent.
	
	(1 ≤ *ICLAD* ≤ `ICLAD1`\ )

.. sasinp:: EXKTM (L)
	:location: 71-90
	:units: K

	Temperature values for `EXKTB` table, 1 ≤ *L* ≤ 20.

.. sasinp:: RHOTAB (L,IFUEL)
	:location: 91-250
	:units: kg/m^3

	Table of theoretical fuel density for fuel *IFUEL*, 1 ≤ *L* ≤ 20. See `RHOTEM` for corresponding temperature values. 
	
	Used for `IMETAL` = 0. See `RHOZN`\ for `IMETAL` > 0. 
	
.. sasinp:: RHOTEM (L,IFUEL)
	:location: 251-410
	:units: K

	Temperature values for `RHOTAB` table, 1 ≤ *L* ≤ 20, for fuel *IFUEL*.
	
	Note: If fuel solidus and liquidus temperatures are defined for fuel melting (see `TFSOL` and `TFLIQ`), then two adjacent entries for these temperatures should be provided in this table.

.. sasinp:: TMF (IFUEL)
	:location: 411-418
	:units: K

	Not to be input. It is set to fuel solidus temperature in the code. See `TFSOL`.

.. sasinp:: TR
	:location: 419
	:units: K

	Reference design point temperature. Temperature at which pin dimensions are measured.
	Suggested value: 300.

.. sasinp:: XKTAB (L,IFUEL)
	:location: 420-579
	:units: W/m-K

	Table of fuel thermal conductivity values for fuel *IFUEL*, 1 ≤ *L* ≤ 20. See `XKTEM`
	for corresponding temperature values.
	
	If only `XKTAB`\ (1) is entered, property is temperature-independent.
	
	(1 ≤ *IFUEL* ≤ `IFUEL1`\ )

.. sasinp:: XKTEM (L)
	:location: 580-599
	:units: K

	Temperature values for `XKTAB` table, 1 ≤ *L* ≤ 20.

.. sasinp:: FGMM
	:location: 600
	:units: g/mol

	Molecular weight of fission-gas atom.
	Suggested value: 131.

.. sasinp:: GATPF
	:location: 601

	Gas atoms generated per fission. Suggested value: 0.246.

.. sasinp:: ENPF
	:location: 602
	:units: MeV

	Energy per fission. Suggested value: 197.

.. sasinp:: RLEQ
	:location: 603

	Fraction of the as-fabricated porosity which defines the equiaxed / columnar fuel boundary.
	Suggested value: 0.6.
	PRSTY2 < `RLEQ` \* `PRSTY` - columnar fuel
	PRSTY2 > `RLEQ` \* `PRSTY` - equiaxed fuel

.. sasinp:: RUEQ
	:location: 604

	Grain size ratio at the equiaxed / as-fabricated boundary.
	Suggested value: 1.2.
	DGR2 < `RUEQ` \* `DGO` - as-fabricated
	DGR2 ≥ `RUEQ` \* `DGO` - equiaxed

.. sasinp:: PRSMIN
	:location: 605

	Minimum attainable porosity during restructuring.
	Suggested value: 0.02.

.. sasinp:: CPFTAB (L,IFUEL)
	:location: 606-765
	:units: J/kg-K

	Table of fuel specific heat values for fuel *IFUEL*, 1 ≤ *L* ≤ 20. See `CPFTEM`
	for corresponding temperature values.
	
	If only `CPFTAB`\ (1) is entered, property is temperature-independent.
	
	(1 ≤ *IFUEL* ≤ `IFUEL1`\ )

.. sasinp:: CPFTEM (L)
	:location: 766-785
	:units: K

	Temperature values for `CPFTAB` table, 1 ≤ *L* ≤ 20.

.. sasinp:: TFSOL (IFUEL)
	:location: 786-793
	:units: K

	Fuel solidus temperature.

.. sasinp:: TFLIQ (IFUEL)
	:location: 794-801
	:units: K

	Fuel liquidus temperature.

.. sasinp:: UFMELT (IFUEL)
	:location: 802-809
	:units: J/kg

	Fuel heat of fusion.

.. sasinp:: TESOL (ICLAD)
	:location: 810-812
	:units: K

	Cladding solidus temperature.

.. sasinp:: TELIQ (ICLAD)
	:location: 813-815
	:units: K

	Cladding liquidus temperature.

.. sasinp:: UEMELT (ICLAD)
	:location: 816-818
	:units: J/kg

	Cladding heat of fusion.

.. sasinp:: CPCTAB (L,ICLAD)
	:location: 819-878
	:units: J/kg-K

	Table of clad specific heat values for clad *ICLAD*, 1 ≤ *L* ≤ 20. See `CPCTEM`
	for corresponding temperature values.
	
	If only `CPCTAB`\ (1) is entered, property is temperature-independent.
	
	(1 ≤ *ICLAD* ≤ `ICLAD1`\ )

.. sasinp:: CPCTEM (L)
	:location: 879-898
	:units: K

	Temperature values for `CPCTAB` table, 1 ≤ *L* ≤ 20.

.. sasinp:: TME (ICLAD)
	:location: 899-901
	:units: K

	Not to be input. Set to cladding solidus temperature in the code. See `TESOL`.

.. sasinp:: UMELT (IFUEL)
	:location: 902-909

	Not currently used.

.. sasinp:: YLDTAB (L,ICLAD)
	:location: 910-969
	:units: Pa

	Table of clad yield values for clad *ICLAD*, 1 ≤ *L* ≤ 20. See `YLDTEM`
	for corresponding temperature values.
	
	If only `YLDTAB`\ (1) is entered, property is temperature-independent.
	
	(1 ≤ *ICLAD* ≤ `ICLAD1`\ )

.. sasinp:: YLDTEM (L)
	:location: 970-989
	:units: K

	Temperatures values for `YLDTAB` table.

.. sasinp:: CROETB (L,ICLAD)
	:location: 990-1049
	:units: J/m^3-K

	Specific heat \* density for cladding in table location L, 1 ≤ *L* ≤ 20.
	See `CROETM` for corresponding temperature values.
	
	If only `CROETB`\ (1) is entered, property is temperature-independent.

.. sasinp:: CROETM (L)
	:location: 1050-1069
	:units: K

	Temperature values for `CROETB` table.

.. sasinp:: CE (ICLAD)
	:location: 1070-1072
	:units: J/kg-K

	Cladding specific heat at solidus temperature for CLAP cladding motion module. 1 ≤ ICLAD ≤ 3.
	Suggested value: 690.

.. sasinp:: PRSTY (IFUEL)
	:location: 1073-1080

	As-fabricated porosity for each fuel type.
	IFUEL ≤ 8.

.. sasinp:: AC
	:location: 1081

	Not currently used.

.. sasinp:: QSWL
	:location: 1082

	Not currently used.

.. sasinp:: APORE
	:location: 1083
	:units: m^2-K^1.5/s

	Pre-exponential factor in pore velocity.

	VPORE = `APORE` \* (dT/dr) \* exp(-\ `QPORE`\ /(\ `RGASSI` \* T)) / (T \*\* `ABC`\ )

	Suggested value: 20.704.

.. sasinp:: QPORE
	:location: 1084
	:units: J/gm-mole

	Pore migration activation energy
	Suggested value: 4.5281E05.

.. sasinp:: ABC
	:location: 1085

	Exponent of temperature factor in pore velocity.
	Suggested value: 1.5.

.. sasinp:: RGASSI
	:location: 1086
	:units: J/gm-mole-K

	Ideal gas constant.
	Suggested value: 8.31434.

.. sasinp:: GAMMA
	:location: 1087
	:units: J/m^2

	Fuel surface tension. Suggested value: 0.45. See `SUFU`.

.. sasinp:: APG
	:location: 1088
	:units: Pa

	Pre-exponential factor in bubble radius parameterization.
	Suggested value: 5.0E04.
	| RB = (2 \* `GAMMA`\ /\ `APG`\ ) \* exp (-\ `QPG` / (\ `RGASSI` \* TEMP))

.. sasinp:: QPG
	:location: 1089
	:units: J/mole

	Temperature dependence of bubble radius.
	Suggested value: 5.65065E04.

.. sasinp:: GK
	:location: 1090
	:units: m^3/s

	Pre-exponential factor in unlimited grain growth rate.
	DG \*\* `NGRAIN` = `DGO` \*\* `NGRAIN` + `GK` \* TIME \* exp (- `QV` / (\ `RGASSI` \* TEMP))
	Suggested value: 1.717E10.

.. sasinp:: QV
	:location: 1091
	:units: J/gm-mole

	Activation energy of unlimited grain growth rate.
	Suggested value: 3.87E05.

.. sasinp:: GK1
	:location: 1092
	:units: m^2/s

	Pre-exponential factor in limited grain growth rate. (Ainscough et al. model).
	Suggested value: 1.45556E-08.

.. sasinp:: QV1
	:location: 1093
	:units: J/mole-K

	Temperature dependence in limited grain growth rate.
	Suggested value: 2.67E+5.

.. sasinp:: GRAINK
	:location: 1094
	:units: m

	Pre-exponential factor in maximum grain size.
	DMAX = `GRAINK` \* exp(-\ `GRAINQ` / (\ `RGASSI`\ \* TEMP))

.. sasinp:: GRAINQ
	:location: 1095
	:units: J/gm-mole

	Temperature dependence in maximum grain size.
	Suggested value: 6.3375E+04.

.. sasinp:: CVXE
	:location: 1096
	:units: J/kg-K

	Xenon specific heat at constant volume.
	Suggested value: 94.69.

.. sasinp:: CVHE
	:location: 1097
	:units: J/kg-K

	Helium specific heat at constant volume.
	Suggested value: 3.13E+03.

.. sasinp:: ROFF
	:location: 1098
	:units: m

	Surface roughness of fuel.
	Suggested value: 3.3E-06.

.. sasinp:: ROFC
	:location: 1099
	:units: m

	Surface roughness of inner cladding.
	Suggested value: 1.78E-06.

.. sasinp:: AZEROX
	:location: 1100

	Calibration factor in solid-solid conductance. Not currently used.

.. sasinp:: GAMGS
	:location: 1101

	Cp/Cv parameter in jump distance calculation.
	Suggested value: 1.66.

.. sasinp:: HARDNS
	:location: 1102
	:units: Pa

	Meyer's hardness of the softer contacting surface in solid-solid gap conductance. This is set to 3 \* yield stress within the code.

.. sasinp:: ET
	:location: 1103

	Exponent of the pressure dependence in solid-solid conductance.
	Suggested value: 1.

.. sasinp:: ACCHE
	:location: 1104

	Accommodation coefficient of helium.
	Suggested value: 0.15.

.. sasinp:: ACCXE
	:location: 1105

	Accommodation coefficient of xenon.
	Suggested value: 0.805.

.. sasinp:: CZERO
	:location: 1106

	Calibration constant for surface roughness in gap conductance calculation.
	Suggested value: 1.98.

.. sasinp:: STEBOL
	:location: 1107
	:units: W/m^2-K^4

	Stefan-Boltzmann constant.
	Suggested value: 5.67E-08.

.. sasinp:: EMSF
	:location: 1108

	Fuel emissivity. Suggested value: 0.9.

.. sasinp:: EMSC
	:location: 1109

	Cladding emissivity. Suggested value: 0.8.

.. sasinp:: QA1
	:location: 1110
	:units: K

	Parameter in Weisman fission-gas release model. Probability of escaping directly without being trapped,
	KPRIME = exp(-\ `QA1`\ / TEMP - `QA2` - `QA3` \* DEN)
	where DEN = percent of fuel theoretical density.
	Suggested value: 6.92E+3.

.. sasinp:: QA2
	:location: 1111

	Parameter in Weisman fission-gas release model.
	Suggested value: 33.95.

.. sasinp:: QA3
	:location: 1112

	Parameter in Weisman fission-gas release model.
	Suggested value: 0.338.

.. sasinp:: QA4
	:location: 1113
	:units: K

	Parameter in Weisman fission-gas release model. Probability of trapped fission-gas atom getting released from trap and then escaping per second,
	K = exp(-\ `QA4`\ / TEMP - `QA5`\ ).
	K is in units of 1/s. Suggested value: 1.48E+04.

.. sasinp:: QA5
	:location: 1114

	Parameter in Weisman fission-gas release model.
	Suggested value: 9.575.

.. sasinp:: ALFSS
	:location: 1115
	:units: 1/s

	Pre-exponential factor in isotropic fission- gas release model. Fractional release rate= `ALFSS` \* exp(-\ `BETSS`\ /TEMP). Suggested value: 2.0E-04.

.. sasinp:: BETSS
	:location: 1116
	:units: K

	Temperature dependence in isotropic fission-gas release model. Suggested value: 1.1E+04.

.. sasinp:: CNU
	:location: 1117

	Cladding Poisson ratio. Suggested value: 0.3.

.. sasinp:: FNU
	:location: 1118

	Fuel Poisson ratio. Suggested value: 0.3265.

.. sasinp:: AM
	:location: 1119

	Stress exponent in the fuel creep law for stress relaxation calculation. Strain rate = AONE \* stress \*\* `AM` \* exp(-\ `QLAX`\ /(\ `RGASSI` \* Temp)). "AONE" is evaluated in the code depending on fractional fuel density and fuel grain size. Suggested value: 1.0.

.. sasinp:: QLAX
	:location: 1120
	:units: J/mole

	Activation energy for diffusion creep. Suggested value: 3.77E+05.

.. sasinp:: QLAX2
	:location: 1121

	Not currently used.

.. sasinp:: DDX
	:location: 1122

	Not currently used.

.. sasinp:: DDX2
	:location: 1123

	Not currently used.

.. sasinp:: RGAS
	:location: 1124
	:units: Pa-m^3/kg-K

	Gas constant per kilogram for fission-gas (as in PV = MRT). Suggested value: 65 for high burnups.

**PLUTO2 AND LEVITATE**
Input (1125-1199, 1206-1217, 1229-1257)

.. sasinp:: CINAF0
	:location: 1125

	Fraction of the coolant flow area occupied by the liquid sodium film left behind by moving coolant slugs in PLUTO2. This is also the maximum value in the voided channel. `CINAF0` must be < `CIVOID`\ . See `WFS00` and `WF0` to input consistent values. Suggested value: 0.15.

.. sasinp:: CIBBIN
	:location: 1126

	If the liquid fuel volume fraction in the channel is greater than `CIBBIN`\ , the fuel flow regime is treated as a bubbly flow regime. See `VFNALQ` and `CIANIN`.

.. sasinp:: CIREFU
	:location: 1127

	Reynolds number for annular or bubbly fuel flow above which the friction factor is assumed to be constant and equal to `CIFRFU`.

.. sasinp:: CIFRFU
	:location: 1128

	Moody friction factor for turbulent bubbly fuel flow (See `CIREFU`).

.. sasinp:: CIFUMO
	:location: 1129

	Fraction of the axial momentum of the fuel flow in the pin which is retained by the fuel which is ejected into the coolant channel.

.. sasinp:: CIVOID
	:location: 1130

	If the sodium void fraction in the coolant channel is less than `CIVOID` the heat-transfer and friction between sodium and cladding are based on single- phase correlations for the homogeneous mixture of the two phases of sodium.
	`CIVOID` must be > `CINAF0` and < `CIA4`\ . For sodium void fractions greater than `CIVOID` see `CIA4` and `HCFFMI`. See :numref:`table-14.4-2`.

.. sasinp:: CIA1
	:location: 1131

	Constant in the fuel particle-to-sodium heat-transfer coefficient. H = `CIA1`\ \*(conductivity of fuel)/(particle radius) \* (1-Na void fraction) \*\* `CIA2`\ . (See Eqs. :ref:`14.4-94<eq-14.4-94>` and :ref:`14.4-98<eq-14.4-98>`).

.. sasinp:: CIA2
	:location: 1132

	(See `CIA1`\ ).

.. sasinp:: CIA3
	:location: 1133

	Constant in the molten fuel-to-cladding and molten fuel-to-solid fuel heat-transfer coefficient. Constant for oxide fuel but strongly dependent on Reynolds number for metal fuel.
	(See Eqs. :ref:`14.2-29<eq-14.2-29>`, :ref:`14.4-118<eq-14.4-118>`, and :ref:`14.4-125<eq-14.4-125>`).

.. sasinp:: CIA4
	:location: 1134

	If the sodium void fraction is greater than `CIA4`\ , the heat-transfer coefficient between two-phase sodium and cladding, moving fuel and fuel crust is based on an interpolation. `CIA4`\  must be > `CIVOID`\ . (See Eqs. :ref:`14.4-88<eq-14.4-88>`, :ref:`14.4-103<eq-14.4-103>` and :ref:`14.4-107<eq-14.4-107>` in the documentation).

.. sasinp:: CIA5
	:location: 1135

	Constant in the fuel particle-to-sodium / fission-gas drag which controls the dependence on the void fraction. (See Eq. :ref:`14.4-163<eq-14.4-163>` in the documentation).
	Suggested value: -1.7.

.. sasinp:: CIA6
	:location: 1136

	Constant in the bubbly fuel flow drag calculation (See Eq. :ref:`14.4-170<eq-14.4-170>`). Suggested value: 0.4272.

.. sasinp:: CIFN
	:location: 1137

	Not currently used.

.. sasinp:: FNFUAN
	:location: 1138

	Not currently used.

.. sasinp:: CPFU
	:location: 1139
	:units: J/kg-K

	Average specific heat of moving liquid or solid fuel.

.. sasinp:: CDFU
	:location: 1140
	:units: J/m-s-K

	Average thermal conductivity of moving liquid or solid fuel.

.. sasinp:: CMNL
	:location: 1141
	:units: Pa^-1

	Average compressibility of liquid sodium at roughly the sodium temperature at the time of pin failure in the vicinity of failure.

.. sasinp:: CDNL
	:location: 1142
	:units: J/m-s-K

	Average thermal conductivity of liquid sodium at roughly the sodium temperature at the time of pin failure in the vicinity of failure.

.. sasinp:: CIETFU
	:location: 1143

	Effectiveness of fuel particles to entrain or tear off a liquid sodium film. `CIETFU` = 1.0 means that the fuel acts as a gas with the gas density equal to the fuel smear density. For `CIETFU` = 0.1 only one tenth of the fuel density is used.

.. sasinp:: CDVG
	:location: 1144
	:units: J/m-s-K

	Average thermal conductivity of the sodium vapor / fission-gas mixture at temperatures roughly 200-300 K higher than the sodium temperature at the time of pin failure in the vicinity of failure. Used only in Dittus-Boetter correlation for Nusselt numbers. At present, use sodium vapor value.

.. sasinp:: VIFI
	:location: 1145
	:units: kg/m-s

	Average viscosity of fission-gas.

.. sasinp:: CFNACN
	:location: 1146
	:units: J/m^2-s-K

	Sodium condensation coefficient.

.. sasinp:: CFNAEV
	:location: 1147
	:units: J/m^2-s-K

	Sodium evaporation coefficient. Should be larger than the above condensation coefficient.

.. sasinp:: FIFNGB
	:location: 1148

	Fraction of the fission-gas entering the cavity with the melting-in fuel which is on grain boundaries. This fraction of the fission-gas becomes immediately available, whereas the remainder becomes available only after a coalescence time. Suggested value: 0.10. (See `CIRTFS`\)

.. sasinp:: VINL
	:location: 1149
	:units: kg/m-s

	Average viscosity of liquid sodium at roughly the sodium temperature at the time of pin failure in the vicinity of failure.

.. sasinp:: VIVG
	:location: 1150
	:units: kg/m-s

	Average viscosity of the fission-gas/ sodium-vapor mixture. (For temperature range and other comments, see `CDVG`).

.. sasinp:: EGFUSO
	:location: 1151
	:units: J/kg

	Internal energy of fuel at the solidus point.

.. sasinp:: DZPLIN
	:location: 1152
	:units: m

	Minimum length of the edge cells in the interaction region of PLUTO-2 and LEVITATE. Values between 0.005 and 0.05 meter are allowed. `DZPLIN` has to be smaller than the shortest mesh cell in all channels. Recommended and default value: 0.02.

.. sasinp:: CFCOFV
	:location: 1153

	Condensation heat-transfer coefficient for fuel vapor.
	:units: J/m^2-s-K

.. sasinp:: CFFURH
	:location: 1154

	Not currently used.

.. sasinp:: C1VIPR
	:location: 1155

	A dimensionless constant in the artificial viscous pressure calculation inside the pin. (See Eq. :ref:`14.2-38a<eq-14.2-38a>`)

.. sasinp:: C2VIPR
	:location: 1156

	A dimensionless constant in the artificial viscous pressure calculation inside the pin. (See Eq. :ref:`14.2-38<eq-14.2-38>`)

.. sasinp:: SUFU
	:location: 1157
	:units: J/m^2

	Molten fuel surface tension. (See `GAMMA`)

.. sasinp:: RAFPLA
	:location: 1158
	:units: m

	Radius of initial fuel particles.

.. sasinp:: RAFPSM
	:location: 1159
	:units: m

	Radius of fuel particles after fragmentation, after `TIFP` s from initial injection.

.. sasinp:: VFNALQ
	:location: 1160

	Liquid sodium volume fraction in the coolant channels below which a continuous (annular or bubbly) fuel flow regime can be initiated (See `CIBBIN`, `CIANIN`, and `EGMN` used in determining fuel flow regimes).

.. sasinp:: EGBBLY
	:location: 1161
	:units: J/kg

	If the fuel flow regime is annular or bubbly, fuel freezing may be initiated when the fuel internal energy drops below EGBBLY. Its value should be above the solidus energy.

.. sasinp:: VIFULQ
	:location: 1162
	:units: kg/m-s

	Viscosity of the fuel above the fuel liquidus.

.. sasinp:: VFNARE
	:location: 1163

	Liquid sodium volume fraction above which a continuous fuel flow becomes a particulate flow again. Suggested value: >0.5. (See :numref:`figure-14.4-3`)

.. sasinp:: DTPLIN
	:location: 1164
	:units: s

	Initial and minimum PLUTO2 and LEVITATE time step.
	Suggested value: 2.E-5.
	Minimum value: 1.E-6.
	Maximum value: 2.E-4.

.. sasinp:: AXMX
	:location: 1165
	:units: m^2

	Reference area for PLUTO2 and LEVITATE. This area times 1 meter is the volume to which all volume fractions in PLUTO2 or LEVITATE are referenced.
	It makes the volume fractions more meaningful if this area is equal to the area encompassing everything inside the outer perimeter of the subassembly wall (not per fuel-pin but per fuel subassembly).

.. sasinp:: EPCH
	:location: 1166

	Not currently used.

.. sasinp:: TIPLMX
	:location: 1167
	:units: s

	Time after PLUTO2 initiation when full PLUTO2 calculations are switched off and only the PLUTO2 energy equations are solved for all components which are then assumed to remain stagnant. Necessary for transient overpower calculations in which the lead channel fails many seconds before any other channel.

.. sasinp:: DTPLP
	:location: 1168
	:units: s

	Full PLUTO2 or LEVITATE printout every `DTPLP` seconds.

.. sasinp:: FNMELT
	:location: 1169

	Molten fuel is added to the cavity when it has gone through a fraction `FNMELT` of the heat of fusion. Suggested value: 0.9 (for TREAT experiment analysis lower values may be necessary).

.. sasinp:: CIRTFS
	:location: 1170
	:units: 1/s

	Determines how fast dissolved fission-gas in the pin cavity coalesces and becomes free gas: Mass of fission-gas coalescing per unit time = `CIRTFS` \* current mass of dissolved fission-gas in this node. Suggested value: 16.667.

.. sasinp:: CISP
	:location: 1171

	Not currently used.

.. sasinp:: CIFUFZ
	:location: 1172

	Controls the mode of fuel freezing in PLUTO2.

	| = 0, Conduction type freezing.
	| = 1, Bulk type freezing.

	Allowed range between 0.0 to 1.0.
	Suggested value: 1.

.. sasinp:: TIFP
	:location: 1173
	:units: s

	Time delay for fragmentation of larger particles into smaller ones (relative to initial fuel injection time, see `IPSIZE`).

.. sasinp:: CIANIN
	:location: 1174

	Channel fuel (moving fuel + frozen fuel) volume fraction above which the whole perimeter of the channel is wetted by molten fuel in annular flow.

.. sasinp:: TEFAIL
	:location: 1175
	:units: K

	Cladding temperature of a node above which the cladding failure propagates to this node if the pin pressure is greater than the channel pressure + `PRFAIL` and also the areal fuel melt fraction greater than `FNARME`. Both cladding nodes must exceed this temperature. Relevant only if axial pin failure propagation is determined by input, if `KFAILP` = 1.
	Suggested value: Steel solidus temperature `TESOL`\ .

.. sasinp:: FNARME
	:location: 1176

	Relevant for both axial pin failure propagation options (\ `KFAILP` = 0 or 1). FARME is the minimum areal fuel melt fraction of a node above which a cladding failure can propagate into this node if additional conditions depending upon the value of `KFAILP` are satisfied.

.. sasinp:: PRFAIL
	:location: 1177
	:units: Pa

	Relevant only if `KFAILP` = 1. (See `TEFAIL`).

.. sasinp:: EGMN
	:location: 1178
	:units: J/kg

	The continuous fuel flow regimes cannot be initiated below this fuel internal energy. Its value should be above the solidus energy.

.. sasinp:: HCFFMI
	:location: 1179
	:units: J/m^2-s-K

	Convective heat-transfer coefficient from the surface of a frozen fuel crust to two-phase sodium/fission-gas mixture (liquid sodium in the form of dispersed drops) with a void fraction > `CIVOID`.

.. sasinp:: HCFUBB
	:location: 1180
	:units: J/m^2-s-K

	Convective heat-transfer coefficient between the interior of the molten fuel and two-phase sodium/fission gas mixture bubble surfaces in the bubbly flow regime.

.. sasinp:: FNHTFU
	:location: 1181

	Fraction of the convective heat-transfer coefficient between liquid fuel and cladding which remains effective when the moving fuel consists of solid chunks.

.. sasinp:: XPL5
	:location: 1182

	For future use in PLUTO2.

.. sasinp:: XPL6
	:location: 1183

	For future use in PLUTO2.

.. sasinp:: TECLMN
	:location: 1184
	:units: K

	Maximum outer cladding node temperature above which freezing fuel cannot stick to the cladding (the same input value limits the freezing on the inner structure node). (this is used in PLUTO2 only).

.. sasinp:: TECLRL
	:location: 1185
	:units: K

	Temperature of the middle cladding node above which plated-out fuel is released. (this is used in PLUTO2 only).

.. sasinp:: CIHCFU
	:location: 1186

	Dimensionless coefficient in the Deissler heat-transfer correlation for inpin fuel motion.
	Nu = `CIHCFU`\ \*Pr\*Re\ :sup:`0.8`

.. sasinp:: HCCLMI
	:location: 1187
	:units: J/m^2-s-K

	Convective heat-transfer coefficient from hotter cladding to two-phase sodium/ fission-gas mixture (liquid sodium in the form of dispersed drops) with a void fraction > `CIVOID`\ .

.. sasinp:: CMFU
	:location: 1188
	:units: Pa^-1

	Average adiabatic compressibility of liquid fuel.

.. sasinp:: XPL7
	:location: 1189

	For future use in PLUTO2.

.. sasinp:: XLP8
	:location: 1190

	For future use in PLUTO2.

.. sasinp:: XLP9
	:location: 1191

	For future use in PLUTO2.

.. sasinp:: XPL10
	:location: 1192

	For future use in PLUTO2.

.. sasinp:: XPL11
	:location: 1193

	For future use in PLUTO2.

.. sasinp:: XPL12
	:location: 1194

	For future use in PLUTO2.

.. sasinp:: CDCL
	:location: 1195
	:units: J/m-s-K

	Average conductivity of the solid cladding.

.. sasinp:: CPCL
	:location: 1196
	:units: J/kg-K

	Average specific heat of the solid cladding.


.. sasinp:: CPCLRH
	:location: 1197
	:units: J/m^3-K

	Average specific heat times density of the solid cladding.


.. sasinp:: RHSLBT
	:location: 1198
	:units: kg/m^3

	Average physical density of the lower liquid sodium slug.


.. sasinp:: RHSLTP
	:location: 1199
	:units: kg/m^3

	Average physical density of the upper liquid sodium slug.


.. sasinp:: COEFDL (1)
	:location: 1200

	Not currently used.

.. sasinp:: COEFDL (2)
	:location: 1201
	:units: 1/K

	Molten fuel volumetric thermal expansion coefficient, ALPHA2. (DEFORM uses with `COEFDS`\ (1))
	Suggested value: 9.3E-5.
	Rho = `COEFDS`\ (1)/(1+\ `COEFDL`\ (2) \*(T-273.15))

.. sasinp:: QSTAR
	:location: 1202

	Not currently used.

.. sasinp:: ABCPU
	:location: 1203

	Not currently used.

.. sasinp:: QPU
	:location: 1204

	Not currently used.

.. sasinp:: DPUO
	:location: 1205

	Not currently used.

.. sasinp:: RHSSLQ
	:location: 1206
	:units: kg/m^3

	Density of steel in the fuel crust. (See `CPCL`, `CPCLRH`, and `RHSSSO`). Suggested value: 6000.

.. sasinp:: CIBBDI
	:location: 1207

	Liquid fuel volume fraction above which the transition from annular to bubbly fuel flow regime occurs in disrupted regions (i.e., regions having no pin geometry).
	Suggested value: 0.2.

.. sasinp:: CIANDI
	:location: 1208

	Liquid fuel volume fraction above which the transition from partial perimeter annular to full perimeter fuel flow regime occurs in disrupted regions. Suggested value: 0.1.

.. sasinp:: CIVIMT
	:location: 1209

	The fuel viscosity at solidus is set equal to `CIVIMT` times the value at liquidus (See `VIFULQ`). The fuel viscosity between solidus and liquidus is evaluated by interpolation between these two values.
	Suggested value: 200.

.. sasinp:: EGSESO
	:location: 1210
	:units: J/kg

	Solidus energy of steel. Suggested value: 8.18E+5.

.. sasinp:: EGSELQ
	:location: 1211
	:units: J/kg

	Liquidus energy of steel. Suggested value: 1.076E+6.

.. sasinp:: CPSE
	:location: 1212
	:units: J/kg-K

	Specific heat of molten steel. (See `CPCTAB`, `CE`, `CPCL`, and `CPCLRH`). Suggested value: 768.

.. sasinp:: FRMRSE
	:location: 1213

	The fraction of latent heat of fusion to be satisfied for steel to be considered a moving fluid in LEVITATE.
	Suggested value: 0.5.

.. sasinp:: FNSROS
	:location: 1214

	Initial fraction of structure in the inner node (facing the channel). (See `DSTIZ` and `DSTOZ` for consistent input). Suggested value: 0.1 to 0.9.

.. sasinp:: RHSSSO
	:location: 1215
	:units: kg/m^3

	Density of solid steel. (See `CPCL`, `CPCLRH` and `RHSSLQ`). Suggested value: 6.95E+3.

.. sasinp:: RGFV
	:location: 1216
	:units: J/kg-K

	Gas constant for the fuel vapor. Suggested value: 31.

.. sasinp:: RGSV
	:location: 1217
	:units: J/kg-K

	Gas constant for the steel vapor. Suggested value: 145.

.. sasinp:: TMIDFG
	:location: 1218

	Not currently used.

.. sasinp:: FGSPRD
	:location: 1219

	Not currently used.

.. sasinp:: FGPORX
	:location: 1220

	Not currently used.

.. sasinp:: WST
	:location: 1221

	Not currently used.

.. sasinp:: HECOND
	:location: 1222

	Not currently used.

.. sasinp:: FGCOND
	:location: 1223

	Not currently used.

.. sasinp:: AKCOND
	:location: 1224

	Not currently used.

.. sasinp:: HEMM
	:location: 1225

	Molecular mass of helium atom. Suggested value: 4.

.. sasinp:: EPSSFP
	:location: 1226
	:units: Per^a/o burn-up

	Volume swelling fraction due to solid fission products.
	Suggested value: 3E-03.

.. sasinp:: HEMASX
	:location: 1227

	Not currently used.

.. sasinp:: ZSWFAC
	:location: 1228

	Not currently used.

.. sasinp:: FNDISR
	:location: 1229

	Ratio of molten cavity radius to fuel pellet radius needed for disrupting pins in LEVITATE. Pins can also disrupt if the outermost fuel node is above the solidus. (\ `DTDISR` must also be met).

.. sasinp:: DTDISR
	:location: 1230
	:units: K

	Fuel-pin disruption in LEVITATE is allowed if the cladding middle node temperature is greater than cladding solidus temperature minus `DTDISR`\ . (\ `FNDISR` must also be met). Not currently used.

.. sasinp:: SRFMLE
	:location: 1231

	If `SRFMLE` = 0.0, liquid sodium film on structure is thrown away in LEVITATE. If `SRFMLE` > 1.E-10, the sodium in the structure film is conserved. LEVITATE mixes the sodium film with the sodium vapor in the channel. This can lead to an excessive pressure event in the channel due to fuel/sodium interactions.

.. sasinp:: XLE4
	:location: 1232

	Not currently used.

.. sasinp:: XLE5
	:location: 1233

	Not currently used.

.. sasinp:: XLE6
	:location: 1234

	Not currently used.

.. sasinp:: XLE7
	:location: 1235

	Not currently used.

.. sasinp:: XLE8
	:location: 1236

	Not currently used.

.. sasinp:: XLE9
	:location: 1237

	Not currently used.

.. sasinp:: XLE10
	:location: 1238

	Not currently used.

.. sasinp:: XLEPT1
	:location: 1239

	Not currently used.

.. sasinp:: XLEPT2
	:location: 1240

	Not currently used.

.. sasinp:: XLEPT3
	:location: 1241

	Not currently used.

.. sasinp:: XLEPT4
	:location: 1242

	Not currently used.

.. sasinp:: XLEPT5
	:location: 1243

	Not currently used.

.. sasinp:: XLEPT6
	:location: 1244

	Not currently used.

.. sasinp:: XLEPT7
	:location: 1245

	Not currently used.

.. sasinp:: XLEPT8
	:location: 1246

	Not currently used.

.. sasinp:: XLEPT9
	:location: 1247

	Not currently used.

.. sasinp:: PLUT1
	:location: 1248

	Not currently used.

.. sasinp:: PLUT2
	:location: 1249

	Not currently used.

.. sasinp:: PLUT3
	:location: 1250

	Not currently used.

.. sasinp:: PLUT4
	:location: 1251

	Not currently used.

.. sasinp:: PLUT5
	:location: 1252

	Not currently used.

.. sasinp:: PLUT6
	:location: 1253

	Not currently used.

.. sasinp:: PLUT7
	:location: 1254

	Not currently used.

.. sasinp:: PLUT8
	:location: 1255

	Not currently used.

.. sasinp:: PLUT9
	:location: 1256

	Not currently used.

.. sasinp:: PLUT10
	:location: 1257

	Not currently used.

.. sasinp:: FAXIAL
	:location: 1258

	Fraction of calculated axial expansion to be actually used by DEFORM. Suggested value: 1. (See `EXPCOF`).

.. sasinp:: FCLDWK
	:location: 1259

	Initial cold-work strain of the cladding. (Required if `IYLD` = 1).

.. sasinp:: FMELTD
	:location: 1260

	Not currently used.

.. sasinp:: FSTRAN
	:location: 1261

	Not currently used.

.. sasinp:: FTMPCH
	:location: 1262

	Fraction of fuel or blanket melt temperature (\ `TMF`\ (IFUEL)) at which crack healing is assumed.
	(Required if IHEALC = 2).

.. sasinp:: EXPCOF
	:location: 1263

	Fraction of the axial expansion reactivity calculated by DEFORM to be used for feedback effects. (See `FAXIAL`). 0.0 ≤ `EXPCOF` ≤ 1.0. Suggested value: 1.0.

.. sasinp:: PRTSTR
	:location: 1264
	:units: s

	Time for the first transient printout if `IPROPT` = 1.

.. sasinp:: PRTDEL
	:location: 1265
	:units: s

	Time interval between printouts if `IPROPT` = 1.

.. sasinp:: FIRLIM
	:location: 1266

	Failure fraction at which the main time step is cut to DTFALL. For each fuel pin failure option a time-dependent
	fraction between 0.0 and 1.0 called failure fraction is defined for each fuel axial segment which indicates how close to pin failure the axial segment is at the current time. Failure fraction is 0.0 at the beginning of the transient, and equals 1.0 at the time of pin failure.
	(See `MFAIL`).

.. sasinp:: SECLIM
	:location: 1267

	Failure fraction at which the main time step is cut to `DTFAL2`\ .

.. sasinp:: THRLIM
	:location: 1268

	Failure fraction at which the main time step is cut to `DTFAL3`\ .

.. sasinp:: DTFAL1
	:location: 1269
	:units: s

	Main time step when `FIRLIM` ≤ failure fraction < `SECLIM`\ .

.. sasinp:: DTFAL2
	:location: 1270
	:units: s

	Main time step when `SECLIM` ≤ failure fraction < `THRLIM`\ .

.. sasinp:: DTFAL3
	:location: 1271
	:units: s

	Main step when `THRLIM` ≤ failure fraction < 1.0.

.. sasinp:: AKD
	:location: 1272

	Not currently used.

.. sasinp:: CKD
	:location: 1273

	Not currently used.

.. sasinp:: QKD
	:location: 1274

	Not currently used.

.. sasinp:: FGFI
	:location: 1275

	Mole fraction of fission gas in the initial fill-gas. (Assumed same molecular weight as `FGMM`).

.. sasinp:: CIPINJ
	:location: 1276

	Controls the ejection of molten fuel/ fission gas from the pin cavity when the mechanistic ejection model is not used.
	See INRAEJ. Suggested value: 2.5E4.

.. sasinp:: DTPNIN
	:location: 1277
	:units: s

	Initial and minimum PINACLE time step. Suggested value: 2.E-5.

.. sasinp:: TIPNMX
	:location: 1278
	:units: s

	PINACLE maximum time. Not currently used.

.. sasinp:: DTPNP
	:location: 1279
	:units: s

	Full PINACLE printout every `DTPNP` seconds.

.. sasinp:: ASRALU
	:location: 1280

	Aspect ratio of cylindrical chunks = 2R/L. Recommended value = 1.

.. sasinp:: UN1281
	:location: 1281

	Not currently used.

.. sasinp:: UN1282
	:location: 1282

	Not currently used.

.. sasinp:: UN1283
	:location: 1283

	Not currently used.

.. sasinp:: RALUDI
	:location: 1284

	Radius of chunks generated by pin disruption.

.. sasinp:: RALUFZ
	:location: 1285

	Radius of chunks generated by freezing and crust break-up. If set to zero the code provides default values based on local
	geometry.
	Recommended value: 0.

.. sasinp:: CINAPN
	:location: 1286

	| = 0, All the sodium vapor pressure is added to the local pressure.
	| = 1, Only the excess of the sodium vapor pressure over the fission gas and fuel vapor pressure is added to the local pressure.

	Note: This variable is relevant only if `INAPN` is equal to 1.

.. sasinp:: CPCM
	:location: 1287

	Chemical equilibrium coefficient of Pu at center-to-middle zone interface used in computing zone formation in U-Pu-Zr alloy fuel. Suggested value: 1.177.

.. sasinp:: CPMO
	:location: 1288

	Chemical equilibrium coefficient of Pu at center-to-outer zone interface used in computing zone formation in U-Pu-Zr alloy fuel.
	Suggested value: 1.0723.

.. sasinp:: CZCM
	:location: 1289

	Chemical equilibrium coefficient of Zr at center-to-middle zone interface.
	Suggested value: 9.79.

.. sasinp:: CZMO
	:location: 1290

	Chemical equilibrium coefficient of Zr at center-to-outer zone interface.
	Suggested value: 7.84.

.. sasinp:: CUCM
	:location: 1291

	Chemical equilibrium coefficient of U at center-to-middle zone interface.
	Suggested value: 0.448.

.. sasinp:: CUMO
	:location: 1292

	Chemical equilibrium coefficient of U at center-to-outer zone interface.
	Suggested value: 0.5866.

.. sasinp:: EPSMS
	:location: 1293
	:units: kg

	Criterion for zonal fuel mass convergence in computing zone formation in U-Pu-Zr alloy fuel.
	Suggested value: 1.0E-6

.. sasinp:: EPSCOM
	:location: 1294

	Criterion for the convergence of zonal weight fractions of Pu and Zr. Suggested value: 1.0E-3

.. sasinp:: CIPNTP
	:location: 1295

	Controls the calculation of the fuel pin top boundary temperature, which is important in triggering the axial in-pin fuel relocation.

	| = 0, Boundary temperature is equal to the temperature of the material in the node above the active fuel.
	| = 1, The boundary temperature is the same as the temperature of the central top node of the active fuel.
	| = 2, This option is available for metal fuel pins only. The in-pin fuel motion is triggered by a mechanistic model using 2-d temperature distributions for the top fuel node. (This option is not yet available.)

.. sasinp:: ROGSPI
	:location: 1296

	Mass of fission gas generated in the fuel pin per unit volume of the original pin and percent burnup. Used to set the fission gas arrays only if DEFORM is not used
	(\ `ISSFUE` = 0).

.. sasinp:: PRSFTN
	:location: 1297

	Partial pressure of dissolved gas, due to surface tension. This pressure is calculated as 2 x SIGMA/R. The recommended value for oxide fuel is 320 x 10\*\*5 Pa. (SIGMA = 400 x 10\ :sup:`-3` N/m, R = 250 x 10\*\*-10 m).

.. sasinp:: COLFAC
	:location: 1298

	Multiplier on the sodium density in the coolant reactivity calculation. Suggested value: 1.0.

.. sasinp:: GAMGAS
	:location: 1299

	Cp/Cv for pin plenum gas, P\*V\*\*\ `GAMGAS` = constant for adiabatic changes.
	Typical values: 1.3 - 1.6.

**METAL FUEL PROPERTIES DATA**

.. sasinp:: PUZRTP (L,IFUEL)
	:location: 1300-1315

	Metal fuel plutonium and zirconium weight fractions by fuel type (IFUEL). Used for `IMETAL` > 1.
	L=1, Plutonium weight fraction.
	L=2, Zirconium weight fraction.

.. sasinp:: RHOZN (IFUEL)
	:location: 1316-1323

	Metal fuel theoretical density at the reference temperature
	(TR) by fuel type (IFUEL). Used for `IMETAL` > 1. If `RHOZN` =
	-1.0, then it is internally evaluated based on the input
	composition (\ `PUZRTP`\ ). If `RHOZN` = 0.0, then the fuel type
	IFUEL does not use the IFR Handbook-interpolated U-Pu-Zr alloy
	fuel properties of input option `IFUELM` = 0.

.. sasinp:: XLOGNA (IFUEL)
	:location: 1324-1331

	Metal fuel porosity fraction logged by bond sodium by fuel type (IFUEL).
	Used for `IMETAL` > 1.

.. sasinp:: XSIGMC
	:location: 1332

	To account for uncertainties in IFR handbook data for U-Pu-Zr and
	U-Zr alloy fuel heat capacity, add \|\ `XSIGMC`\ \| standard
	deviations (subtract if `XSIGMC` is negative) to the best estimate.

.. sasinp:: XSIGMK
	:location: 1333

	To account for uncertainties in IFR handbook data for U-Pu-Zr and
	U-Zr alloy fuel thermal conductivity, add \|\ `XSIGMK`\ \| standard
	deviations (subtract if `XSIGMK` is negative) to the best estimate.
	The standard deviation depends on fuel burnup (See `BURNFU`\ ).

.. sasinp:: XSIGMD
	:location: 1334

	To account for uncertainties in IFR handbook data for U-Pu-Zr and
	U-Zr fuel theoretical density, add \|\ `XSIGMD`\ \| standard
	deviations (subtract if `XSIGMD` is negative) to the best estimate.

.. sasinp:: APROPI (I)
	:location: 1335-1394

	Coefficients for user-defined coolant properties.
	
	`APROPI`\ (1:59) corresponds to the :math:`A_i` defined in the coolant
	property equations of :numref:`section-12.13`. `APROPI`\ (60) normally
	corresponds to the coolant critical temperature, :math:`T_c`.
	See :eq:`NaLiqHeatCapacity`.

.. sasinp:: DUMPMC
	:location: 1395-1725

	Not currently used.