arp_1998

V. D. Arp, R. D. McCarty and D. G. Friend, “Thermophysical Properties of Helium-4 from 0.8 to 1500 K with Pressures to 2000 MPa”, NIST Technical Note 1334 (revised) (1998)

Source record · Catalogue · Review register

DOI: 10.6028/nist.tn.1334

Source kind: fit

Recorded technique: A compilation of correlations for the thermodynamic and transport properties of helium-4 and the computer program that evaluates them. The viscosity is Steward and Wallace’s (1971) correlation below 100 K and, above 110 K, Maitland and Smith’s (1971) dilute-gas correlation of experimental data plus an excess term (section 4.2).

Materials in structured entries: He

Dataset quantities: None recorded.

Contents: 0 datasets; 1 formula.

Curation notes

Identity VALIDATED_WITH_WARNINGS by the library; the library’s record names Arp alone, the title page (pdf page 3) all three authors.

THE DILUTE VISCOSITY (section 4.2.2, Eq. 8): eta_o(T) = 196 T^0.71938 exp(12.451/T - 295.67/T^2 - 4.1249), in ug/(cm s) (= 0.1 uPa s), T in K. It is Maitland and Smith’s correlation, used ‘for all T > 110 K’; between 100 K and 110 K the program averages it linearly with Steward’s dilute values. The equations are given for 100-300 K and used unchanged above 300 K, where only the excess term is frozen at its 300 K form (section 4.2.3); the tables run to 1500 K. optmat takes Eq. (8) over 110-1500 K.

UNCERTAINTY: ‘The uncertainty of the viscosity for T > 100 K is estimated to be maximum of +-10 percent’ (section 4.2.3), for the correlation as a whole, dilute gas and dense fluid alike; no separate figure is given for the dilute gas.

REPRODUCED: CoolProp 8.0.0’s helium viscosity (reference key Arp-NIST-1998) at 1e-6 mol/m^3 equals Eq. (8) to 1.1e-11 from 110 K to 900 K (computed 2026-09-30). At 105 K it also equals Eq. (8), without the program’s 100-110 K average. CoolProp reports the whole value as its ‘critical’ contribution, not its ‘dilute’ one; optmat takes the total at vanishing density.

Recorded bibliographic identity status: VALIDATED_WITH_WARNINGS. This concerns identification of the source; it does not establish the scientific correctness of its contents.

Datasets

No datasets are recorded.

Formulas

arp_1998/eq8

{
  "id": "eq8",
  "material": "He",
  "equation": "Eq. (8), section 4.2.2",
  "printed": "eta_o(T) = 196 T^0.71938 exp(12.451/T - 295.67/T^2 - 4.1249)",
  "variable": "T in K; eta_o in ug/(cm s), 1 ug/(cm s) = 1e-7 Pa s",
  "range": "T > 110 K (Maitland and Smith); used to 1500 K",
  "coefficients": {
    "a": "196",
    "b": "0.71938",
    "c": "12.451",
    "d": "295.67",
    "e": "4.1249"
  },
  "check": "CoolProp 8.0.0 equals it to 1.1e-11, 110-900 K (tests/test_transport.py)."
}

Corrections

No dataset errata are recorded in this source record.

Formula corrections, where recorded, appear with their formulas above. Curation notes may also discuss corrections or unresolved interpretation. Consult the review register for the checks and decisions.