MIL-PRF-5606 Prandtl Number Chart

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Derived: Pr = μ · cp / λ, with μ = ν · ρ. The curve covers 38 °C to 204 °C (100.4 °F to 399.2 °F) at atmospheric pressure. The four markers are the tabulated points at 38, 93, 149 and 204 °C.

The MIL-PRF-23699 series is shown for comparison only over 28.4–126.85 °C (83–260 °F), where its viscosity, heat capacity and conductivity data all exist. Nothing is extrapolated for either fluid.

Data from: NADC-79248-60 (Conte & Hammond, 1980), DTIC ADA081597, Tables 1, 2, 7 and 8 (measured inputs); MIL-PRF-23699 data from NIST IR 8263, Tables B4, 14 and A4.

Toggle data sets by clicking the legend.

MIL-PRF-5606 Prandtl Number Calculator
Degrees (°F):
Degrees (°C):
Prandtl Number (Pr):  
μ (mPa·s):  
cp (kJ/kg·K):  
λ (W/m·K):  
MIL-PRF-23699 Pr:  

Calculator valid 100.4 °F to 399.2 °F (38 °C to 204 °C), atmospheric pressure. The MIL-PRF-23699 row is shown only within that fluid's 83–260 °F range where its data are complete.

Prandtl Number of MIL-PRF-5606 Petroleum Hydraulic Fluid
About This Data

The Prandtl number (Pr) is a dimensionless quantity that characterizes the relative importance of momentum diffusion (viscosity) to thermal diffusion (thermal conductivity) in a fluid. It is defined as: Pr = μ · cp / λ, where μ is dynamic viscosity [mPa·s], cp is isobaric specific heat capacity [kJ/(kg·K)], and λ is thermal conductivity [W/(m·K)].

The Prandtl number is derived, not tabulated. NADC-79248-60 (Conte & Hammond, Naval Air Development Center, 1980, DTIC ADA081597) reports kinematic viscosity (Table 1), density (Table 2), specific heat (Table 7) and thermal conductivity (Table 8) for MIL-H-5606, but no Prandtl number. Pr is calculated from those values with μ = ν · ρ, so Pr = ν · ρ · cp / λ. The four tabulated points at 38, 93, 149 and 204 °C (100, 200, 300 and 400 °F) are computed this way from the table values: Pr = 172.4, 72.6, 42.6 and 29.9.

The smooth curve is computed from fits to the same four tables. Kinematic viscosity uses piecewise ASTM D341 interpolation between the measured points (linear in log10(log10(ν + 0.7)) against log10(T + 273.15)), so it passes through each measured viscosity. Density is ρ = 869.517 − 0.71295 · T°C kg/m³, specific heat is cp = 1786.96 + 4.3331 · T°C J/(kg·K), and conductivity is λ = 0.13822 − 0.000077493 · T°C W/(m·K). The curve reproduces the tabulated Pr to within 0.4 % at all four temperatures.

The curve is limited to 38–204 °C because the density fit is valid only over that range, and μ needs density. The viscosity data reach down to −54 °C, but without density no Pr can be computed below 38 °C, so nothing is extended there. The NADC report gives no measurement uncertainty and does not state the lot or specification revision tested.

MIL-PRF-5606 — Prandtl Number vs. Temperature
Temp (°C) Temp (°F) ν (cSt) ρ (kg/m³) μ (mPa·s) cp (kJ/kg·K) λ (W/m·K) Pr

Tabulated points. Computed: Pr = μ [mPa·s] × cp [kJ/(kg·K)] / λ [W/(m·K)], with μ = ν [cSt] × ρ [kg/m³] / 1000. Inputs: NADC-79248-60 Tables 1, 2, 7 and 8.

MIL-PRF-5606 vs MIL-PRF-23699

MIL-PRF-5606 is a petroleum hydraulic fluid; MIL-PRF-23699 is a polyol-ester turbine engine oil. Over 38–126 °C, MIL-PRF-5606 has the lower Pr below about 100 °C (13 % lower at 93 °C and 50 % lower at 38 °C) and the higher Pr above about 105 °C (7 % higher at 110 °C and 17 % higher at 126 °C).

Temp (°C) Temp (°F) MIL-PRF-5606 Pr MIL-PRF-23699 Pr Difference (Pr) Difference (% of 23699)

MIL-PRF-5606 values use the derived curve, 38–204 °C only. MIL-PRF-23699 values are computed exactly as on its own page (μ, cp and λ each linearly interpolated from NIST IR 8263), shown here only over 28.4–126.85 °C, where all three of its datasets are measured. "—" means the fluid has no data at that temperature; extrapolated values are deliberately not used. The two datasets come from different sources, labs and pressures, so small differences should not be over-interpreted.

Sources
  • A. A. Conte Jr. and J. L. Hammond, Development of a High Temperature Silicone Base Fire-Resistant Hydraulic Fluid, NADC-79248-60, Naval Air Development Center, Warminster PA, 5 Feb 1980. DTIC ADA081597. apps.dtic.mil/sti/tr/pdf/ADA081597.pdf. Tables 1 (kinematic viscosity), 2 (density), 7 (specific heat) and 8 (thermal conductivity), accessed 12 Oct 2026.
  • US Department of Defense, MIL-PRF-5606H, Performance Specification: Hydraulic Fluid, Petroleum Base; Aircraft, Missile, and Ordnance, 7 June 2002. everyspec.com. Identification of the fluid.
  • Bruno et al., Thermophysical Properties of Polyol Ester Lubricants, NIST IR 8263, 2019. doi.org/10.6028/NIST.IR.8263. MIL-PRF-23699 comparison data (viscosity Table B4, specific heat Table 14, thermal conductivity Table A4).

The NADC report does not state the specification revision or lot of the MIL-H-5606 tested, and gives no measurement uncertainty. The Prandtl number is not reported in the NADC report; it is derived here from its Tables 1, 2, 7 and 8.

Cite This Work