lemmon_2004

E. W. Lemmon and R. T Jacobsen, “Viscosity and Thermal Conductivity Equations for Nitrogen, Oxygen, Argon, and Air”, Int. J. Thermophys. 25, 21 (2004)

Source record · Catalogue · Review register

DOI: 10.1023/b:ijot.0000022327.04529.f3

Source kind: fit

Recorded technique: Correlations of the viscosity and thermal conductivity of nitrogen, oxygen, argon and air (as a pseudo-pure fluid): a Chapman-Enskog dilute-gas term with a collision integral fitted to experimental data, empirical residual terms, and a crossover critical enhancement for the conductivity, fitted to the data of Tables III and IV with the reference equations of state for density.

Materials in structured entries: Ar, N2, O2

Dataset quantities: None recorded.

Contents: 0 datasets; 3 formulas.

Curation notes

Identity VALIDATED_WITH_WARNINGS by the library. Printed pp. 21-69; p. = pdf page + 20.

THE DILUTE VISCOSITY (p. 23, Eq. 2; Tables I and II, p. 24, read from the library text): eta0(T) = 0.0266958 sqrt(M T) / (sigma^2 Omega(T*)), in uPa s, with M in g/mol, sigma in nm, T* = T/(epsilon/k), and Omega(T*) = exp(sum_{i=0}^{4} b_i (ln T*)^i), b = 0.431, -0.4623, 0.08406, 0.005341, -0.00331. Table I: nitrogen M = 28.01348, epsilon/k = 98.94 K, sigma = 0.3656 nm; argon 39.948, 143.2 K, 0.335 nm; oxygen 31.9988, 118.5 K, 0.3428 nm; air 28.9586, 103.3 K, 0.360 nm. The equations are ‘valid over all liquid and vapor states’ of each fluid’s equation of state (abstract, p. 21): optmat takes each equation of state’s temperatures. The dilute states are taken at about one atmosphere and the ideal gas at zero pressure is taken as ‘nearly identical’ to them (p. 22).

UNCERTAINTY (section 5, p. 57): ‘the uncertainties for viscosity are 0.5 % in the dilute gas for nitrogen and argon, 1% in the dilute gas for air and for oxygen at temperatures above 200 K, and 5% in the dilute gas for oxygen at lower temperatures’; no coverage factor stated. At high temperatures a second group of data lies systematically below the equations, by up to -14 % at 2500 K for nitrogen (p. 38, Fig. 17).

REPRODUCED: CoolProp 8.0.0’s viscosities of the three gases (reference key Lemmon-IJT-2004) at 1e-6 mol/m^3 equal Eq. (2) with these constants to 5e-11, 120-900 K (computed 2026-09-30).

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

lemmon_2004/eq2_N2

{
  "id": "eq2_N2",
  "material": "N2",
  "equation": "Eq. (2), p. 23; Tables I-II, p. 24",
  "printed": "eta0 = 0.0266958 sqrt(M T)/(sigma^2 Omega(T*)); Omega = exp(sum_i b_i (ln T*)^i)",
  "variable": "T in K, T* = T/(epsilon/k); eta0 in uPa s",
  "range": "the equation of state's temperatures",
  "coefficients": {
    "prefactor": "0.0266958",
    "b0": "0.431",
    "b1": "-0.4623",
    "b2": "0.08406",
    "b3": "0.005341",
    "b4": "-0.00331",
    "molar_mass": "28.01348",
    "epsilon_k": "98.94",
    "sigma_nm": "0.3656"
  },
  "check": "CoolProp 8.0.0 equals it to 5e-11 (tests/test_transport.py)."
}

lemmon_2004/eq2_Ar

{
  "id": "eq2_Ar",
  "material": "Ar",
  "equation": "Eq. (2), p. 23; Tables I-II, p. 24",
  "printed": "eta0 = 0.0266958 sqrt(M T)/(sigma^2 Omega(T*)); Omega = exp(sum_i b_i (ln T*)^i)",
  "variable": "T in K, T* = T/(epsilon/k); eta0 in uPa s",
  "range": "the equation of state's temperatures",
  "coefficients": {
    "prefactor": "0.0266958",
    "b0": "0.431",
    "b1": "-0.4623",
    "b2": "0.08406",
    "b3": "0.005341",
    "b4": "-0.00331",
    "molar_mass": "39.948",
    "epsilon_k": "143.2",
    "sigma_nm": "0.335"
  },
  "check": "CoolProp 8.0.0 equals it to 4e-11 (tests/test_transport.py)."
}

lemmon_2004/eq2_O2

{
  "id": "eq2_O2",
  "material": "O2",
  "equation": "Eq. (2), p. 23; Tables I-II, p. 24",
  "printed": "eta0 = 0.0266958 sqrt(M T)/(sigma^2 Omega(T*)); Omega = exp(sum_i b_i (ln T*)^i)",
  "variable": "T in K, T* = T/(epsilon/k); eta0 in uPa s",
  "range": "the equation of state's temperatures",
  "coefficients": {
    "prefactor": "0.0266958",
    "b0": "0.431",
    "b1": "-0.4623",
    "b2": "0.08406",
    "b3": "0.005341",
    "b4": "-0.00331",
    "molar_mass": "31.9988",
    "epsilon_k": "118.5",
    "sigma_nm": "0.3428"
  },
  "check": "CoolProp 8.0.0 equals it to 3e-11 (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.