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Viscosity Kinematic Dynamic

Reference data and engineering information about viscosity kinematic dynamic for fluid mechanics applications.

viscositykinematicdynamicData Table

Overview

Engineering reference data for Viscosity Kinematic Dynamic in fluid mechanics.

Key Formulas

Reynolds Number

Re=ρvDμRe = \frac{\rho v D}{\mu}

Ratio of inertial to viscous forces — determines flow regime.

Bernoulli's Equation

P+12ρv2+ρgh=constP + \frac{1}{2}\rho v^2 + \rho g h = \text{const}

Conservation of energy for steady, inviscid, incompressible flow.

Continuity Equation

A1v1=A2v2A_1 v_1 = A_2 v_2

Conservation of mass for incompressible flow.

Darcy-Weisbach

ΔP=fLDρv22\Delta P = f \frac{L}{D} \frac{\rho v^2}{2}

Pressure drop due to friction in a pipe.

Variables

SymbolDescriptionUnit
ReReReynolds number
ρ\rhoFluid densitykg/m³
vvFlow velocitym/s
DDCharacteristic dimensionm
μ\muDynamic viscosityPa·s
PPPressurePa
ffDarcy friction factor

Common Fluids and Their Viscosity Characteristics

The following fluids are commonly encountered in engineering applications and have well-documented viscosity data available across varying temperatures and pressures.

Gases

FluidDynamic Viscosity RangeNotes
Air0.017–0.050 mPa·sVaries significantly with temperature
Carbon Dioxide (CO₂)0.015–0.035 mPa·sPhase changes affect viscosity
Ethane (C₂H₆)0.009–0.025 mPa·sLight hydrocarbon gas
Ethylene (C₂H₄)0.010–0.028 mPa·sAlso called ethene
Ammonia (NH₃)0.010–0.022 mPa·sToxic - handle with care

Liquids

FluidDynamic Viscosity RangeNotes
Benzene (C₆H₆)0.45–0.65 mPa·s at 25°CCarcinogenic - use alternatives
Ethanol (C₂H₅OH)1.0–1.2 mPa·s at 20°CCommon solvent
Butane (C₄H₁₀)0.15–0.20 mPa·s (liquid)LPG component
Ethylene Glycol16–25 mPa·s at 20°CHeat transfer fluid

Pump Performance and Viscosity

Viscosity directly impacts centrifugal pump performance through hydrodynamic losses. Higher viscosity fluids experience:

  • Increased friction losses in the impeller
  • Reduced flow rates at constant head
  • Decreased efficiency
  • Higher power requirements

Rule of thumb: Pump performance corrections are typically required when kinematic viscosity exceeds 10 cSt (centistokes).

Engine and Gear Oil Selection

Oil viscosity grade selection depends on operating temperature:

Outside TemperatureSAE Grade (Engine Oil)Viscosity Range (cSt at 100°C)
Below -30°C0W3.8 minimum
-30°C to 0°C5W3.8 minimum
0°C to 20°C10W-309.3–12.5
20°C to 40°C15W-4012.5–16.3
Above 40°C20W-5016.3–21.9

Crude Oil Viscosity Correlation

Crude oil viscosity at standard conditions (20°C/68°F and 50°C/122°F) correlates with API gravity:

log10(ν)=ABAPI\log_{10}(\nu) = A - B \cdot API

Where:

  • ν\nu = kinematic viscosity (cSt)
  • APIAPI = API gravity of crude
  • A,BA, B = empirical constants varying with temperature

Typical values: Light crudes (API > 31°) have viscosities below 10 cSt, while heavy crudes (API < 22°) can exceed 100 cSt at 20°C.

Calcium Chloride Brine Properties

Calcium chloride water solutions are commonly used as refrigerants/coolants. Key properties at 25% concentration:

PropertyValue
Freezing point-30°C (-22°F)
Density1.24 g/cm³
Specific heat2.8 kJ/(kg·K)
Dynamic viscosity4.2 mPa·s at 0°C

ISO Viscosity Grades for Industrial Lubricants

Industrial lubricants follow ISO VG (Viscosity Grade) classification:

ISO VGViscosity at 40°C (cSt)Typical Application
2222 ± 10%Light hydraulic systems
3232 ± 10%General hydraulic systems
4646 ± 10%Industrial gearboxes
6868 ± 10%Heavy-duty gearboxes
100100 ± 10%Compressors
150150 ± 10%Extreme pressure applications
220220 ± 10%Heavy industrial gears
320320 ± 10%Very heavy loads
460460 ± 10%Rolling mills

References