assael_1986

M. J. Assael, S. Mixafendi and W. A. Wakeham, “The Viscosity and Thermal Conductivity of Normal Hydrogen in the Limit of Zero Density”, J. Phys. Chem. Ref. Data 15, 1315 (1986)

Source record · Catalogue · Review register

DOI: 10.1063/1.555764

Source kind: fit

Recorded technique: A correlation of the zero-density viscosity and thermal conductivity of normal hydrogen from 20 K to 2200 K, from critically evaluated primary measurements, in the form of the kinetic theory of polyatomic gases with a fitted collision functional.

Materials in structured entries: H2

Dataset quantities: None recorded.

Contents: 0 datasets; 1 formula.

Curation notes

Identity VALIDATED_WITH_WARNINGS by the library. Printed pp. 1315-1322; pages cited are pdf pages (p. = pdf page + 1314).

THE HYDROGEN VISCOSITY (pdf p. 4, Eqs. 1 and 3, Table 2): eta = (5/16) (m k T / pi)^(1/2) / (sigma^2 Omega*(T*)), ln Omega* = sum_{i=0}^{4} a_i (ln T*)^i, with a = 0.354125, -0.427581, 0.149251, -0.037174, +0.003176, sigma = 0.2968 nm and epsilon/k = 33.3 K, fitted over 20-2200 K. Section 5.1 (pdf p. 7) gives a different, universal corresponding-states functional, Eq. (13): ln Omega_eta* = 0.46649 - 0.57015 ln T* + 0.19164 (ln T*)^2 - 0.03708 (ln T*)^3 + 0.00241 (ln T*)^4, which represents hydrogen’s primary data only to 6 %, systematically.

THE D2 PAPER’S MISPRINT (TC-760). Assael, Mixafendi and Wakeham (1987, assael_1987) print this Eq. (13)’s coefficients as their Eq. (4), for ‘the viscosity of hydrogen’. With Eq. (3)’s Table 2 coefficients instead, and their Eq. (7) f(T*) applied at every temperature, their Table 2 of D2 is reproduced within 1.5 units of its last digit, except the cell at 90 K (computed 2026-09-30, tests/test_transport.py). This paper’s own Table of hydrogen’s viscosity is reproduced by Eqs. (1) and (3) to its rounding (20, 100, 300, 1000 and 2000 K checked).

Only the check is used: optmat’s hydrogen viscosity is Muzny et al.’s (muzny_2013).

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

assael_1986/eq1_eq3

{
  "id": "eq1_eq3",
  "material": "H2",
  "equation": "Eqs. (1) and (3), Table 2, pdf p. 4",
  "printed": "eta = (5/16)(m k T/pi)^(1/2)/(sigma^2 Omega*(T*)); ln Omega* = sum_i a_i (ln T*)^i",
  "variable": "T* = k T / epsilon; eta in Pa s with m in kg, sigma in m",
  "range": "20-2200 K",
  "coefficients": {
    "a0": "0.354125",
    "a1": "-0.427581",
    "a2": "0.149251",
    "a3": "-0.037174",
    "a4": "0.003176",
    "sigma_nm": "0.2968",
    "epsilon_k": "33.3"
  },
  "check": "With the D2 mass and assael_1987's f(T*) at every temperature, reproduces assael_1987's Table 2 within 1.5 units of its last digit except at 90 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.