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ENGINEERING TOOL

Viscosity calculator and converter

The SI unit of dynamic viscosity is the pascal second (Pa·s), and the most common one is the centipoise: 1 cP = 1 mPa·s. Kinematic viscosity has m²/s as its SI unit and is measured in centistokes: 1 cSt = 1 mm²/s. To convert cSt to cP, multiply by the density in g/cm³ at the same temperature.

At a glance

  • Dynamic viscosity: SI unit Pa·s; in practice, the centipoise, with 1 cP = 1 mPa·s = 0.001 Pa·s and 1 P = 100 cP.
  • Kinematic viscosity: SI unit m²/s; in practice, the centistokes, with 1 cSt = 1 mm²/s and 1 St = 100 cSt. It is the value used in pump and head loss calculations.
  • cSt to cP: cP = cSt × density in g/cm³, at the same temperature. Water at 20 °C has 1.0016 cP and 1.003 cSt (NIST).
  • Identify Saybolt Universal or Furol in the document. Unit conversion does not calculate the effect of changing temperature.
  • For FBE, the viscosity limit depends on size and speed. Provide liquid conditions to select the model; series maxima do not apply to every pump.

Updated

Answers to guide your selection

  1. What is the unit of viscosity?

    It depends on the quantity. Dynamic viscosity has the SI unit pascal second (Pa·s), and in practice the centipoise (cP) is used, equal to 1 mPa·s; the poise equals 0.1 Pa·s. Kinematic viscosity has the SI unit m²/s, and in practice the centistokes (cSt) is used, equal to 1 mm²/s; the stokes equals 0.0001 m²/s. SSU (Saybolt Universal seconds) measures Saybolt viscosity as a flow time and is not an SI unit.

  2. Are cP and mPa·s the same thing?

    Yes: 1 cP = 1 mPa·s = 0.001 Pa·s, per NIST SP 811. Likewise, 1 cSt = 1 mm²/s. What is not the same is cP and cSt: converting between them requires the fluid density at the same temperature.

  3. Which viscosity unit should I use to specify a pump?

    Send the unit shown on the data sheet and its corresponding temperature. Also identify startup conditions, which may differ from operation. Engineering can assess conversion needs and additional data for comparing pumps.

Data for assessing viscosity

Use the information below to start the assessment with the technical team.

Discuss your duty point with engineering

Send the fluid data sheet with the value, unit and measurement temperature. FB Bombas engineering checks the conversion between cSt, cP and SSU at the pumping temperature and uses these data to indicate the series and model.

Selection depends on process conditions and confirmed data. The assessment and supply scope will be defined with the technical team.

Information for the assessment

  1. Fluid and actual pumping temperature
  2. Value and unit you have (cSt, SSU or cP)
  3. Fluid density in g/mL, if known (needed for cP)
  4. Application (transfer, dosing, burning, lubrication…) — so engineering can already indicate the series

How to convert cSt to cP

Dynamic (cP) and kinematic (cSt) viscosity are related through the fluid density at the same temperature. SSU is different: a flow time in seconds, which converts to cSt only through the method and temperature of the measurement.

cSt to cP
cP = cSt × ρ

ρ is the density in g/cm³ (the same as g/mL) at the same temperature. Example: 100 cSt with ρ = 0.90 g/cm³ gives 100 × 0.90 = 90 cP.

cP to cSt
cSt = cP ÷ ρ

Divide by the density at the same temperature. Water at 20 °C (NIST): 1.0016 cP ÷ 0.99821 g/cm³ = 1.003 cSt.

cSt and SSU
cSt ↔ SSU (ASTM D2161)

Conversion uses the ASTM D2161 tables and equations, at the same temperature. State whether the value is Universal or Furol; a single multiplier does not fit the whole range.

Viscosity units

Viscosity comes in two quantities. Dynamic (or absolute) viscosity measures the fluid resistance to flow, with the SI unit Pa·s. Kinematic viscosity is dynamic viscosity divided by density, with the SI unit m²/s. The factors in the table are those of the NIST SP 811 guide (Appendix B.9).

UnitSymbolQuantityEquivalence
pascal secondPa·sDynamicSI unit
poisePDynamic1 P = 0.1 Pa·s = 100 cP
centipoisecPDynamic1 cP = 0.001 Pa·s = 1 mPa·s
millipascal secondmPa·sDynamic1 mPa·s = 1 cP
pound-force second per square footlbf·s/ft²Dynamic1 lbf·s/ft² = 47.88026 Pa·s
square meter per secondm²/sKinematicSI unit
stokesStKinematic1 St = 0.0001 m²/s = 100 cSt
centistokescStKinematic1 cSt = 0.000001 m²/s = 1 mm²/s
square millimeter per secondmm²/sKinematic1 mm²/s = 1 cSt
square foot per secondft²/sKinematic1 ft²/s = 0.09290304 m²/s
Saybolt Universal secondSSU (SUS)Flow timeNot an SI unit; converted from cSt by ASTM D2161, at the same temperature

Water viscosity in cP by temperature

At 20 °C, water has 1.0016 cP (1.003 cSt); at 80 °C, 0.354 cP, about 35% of the value at 20 °C. Values are for liquid water at 0.101325 MPa (1 atm), from the NIST Chemistry WebBook: viscosity from the IAPWS 2008 formulation and density from IAPWS-95. The cSt column is the dynamic viscosity divided by the density, and the last row, 99.974 °C, is the boiling point at 1 atm.

Temperature (°C)Dynamic viscosity (cP = mPa·s)Density (kg/m³)Kinematic viscosity (cSt = mm²/s)
0.011.7911999.841.791
101.3059999.701.306
201.0016998.211.003
300.79722995.650.8007
400.65273992.220.6578
500.54652988.040.5531
600.46604983.200.4740
700.40355977.760.4127
800.35405971.790.3643
900.31418965.310.3255
99.9740.28166958.370.2939

Preparing the fluid data sheet

Keep the original value and measurement conditions. Engineering needs these data to interpret viscosity and check whether conversion applies.

DataWhat to sendRequired condition
ViscosityOriginal value and unitTemperature and measurement method
DensityData-sheet value and unitSame temperature as viscosity
ProcessFluid, composition and applicationStartup and operating conditions

Maximum viscosity of the FBE by size

For the FBE external gear pump, the maximum viscosity in the selection table of manual MTEC-01/01 (Table 2) is given in SSU and changes with size. In the upper ranges, speed drops from 1,750 rpm down to 150 rpm, with a pulley or gear reducer. To compare a value in cSt or cP, engineering converts it at the pumping temperature.

SizeMaximum viscosity (SSU)
1/8″ to 1/4″2,500
3/8″ to 1″7,500
1.1/2″ to 2″50,000
3″ to 6″100,000

The size limit does not approve every liquid: composition, solids, temperature, suction, pressure and materials also enter the selection.

Viscous fluid? Choose the right pump

Assess viscosity together with flow, pressure, temperature, materials and duty. Compare corrected centrifugal curves and model-specific gear-pump limits; do not use a fixed viscosity cutoff for automatic selection.

Frequently Asked Questions

What is a centipoise (cP) and how much is it in mPa·s?

The centipoise is the practical unit of dynamic viscosity: 1 cP = 0.001 Pa·s = 1 mPa·s, per NIST SP 811. So cP and mPa·s are interchangeable: 350 cP is 350 mPa·s or 0.35 Pa·s. For reference, water at 20 °C has 1.0016 cP according to NIST.

What does cSt mean in viscosity?

cSt is the centistokes, the practical unit of kinematic viscosity: 1 cSt = 1 mm²/s = 0.000001 m²/s. On the data sheet, record the cSt value together with the measurement temperature: without it, the number cannot be used to select a pump, because viscosity changes with temperature.

How do I convert cSt to cP?

Multiply the kinematic viscosity in cSt by the density in g/cm³ at the same temperature: cP = cSt × ρ. Example: 100 cSt with a density of 0.90 g/cm³ gives 90 cP. The other way round, cSt = cP ÷ ρ. Without the density at the same temperature, cSt and cP cannot be treated as equivalent; they are only close when the density is near 1 g/cm³, as with water.

What is the viscosity of water in cP?

According to the NIST Chemistry WebBook (IAPWS 2008 formulation, at 1 atm), water has 1.7911 cP at 0.01 °C, 1.0016 cP at 20 °C, 0.65273 cP at 40 °C, 0.46604 cP at 60 °C and 0.35405 cP at 80 °C. In kinematic viscosity, that is 1.003 cSt at 20 °C. The table on this page lists the values every 10 °C up to boiling.

What is the difference between kinematic (cSt), dynamic (cP) and Saybolt (SSU) viscosity?

Dynamic viscosity expresses resistance to flow; kinematic viscosity is dynamic viscosity divided by density. With cP, cSt and g/mL, the relation is cP = cSt × density. Saybolt Universal expresses a measurement in seconds found in fluid documents. Conversion must respect the reference temperature and applicable method.

How do I convert SSU to cSt (and cSt to SSU)?

ASTM D2161 provides the tables and equations to convert kinematic viscosity in mm²/s (cSt) to Saybolt Universal seconds (SSU) at the same temperature, and also to Saybolt Furol. Identify whether the value is Universal or Furol and state the original temperature. Unit conversion does not estimate viscosity at another temperature. The FBE selection table is in SSU: send the value you have, and engineering does the conversion.

How does viscosity affect pump selection?

Viscosity affects losses, power and suction conditions. Centrifugal pumps may require correction of the water performance curve; in positive displacement pumps, viscosity also changes internal leakage and power. Compare models at the same flow, pressure and temperature. Choosing FBCN, FBE or FBEI depends on the process, without a universal viscosity cutoff.

Does viscosity change with temperature?

Yes. For water, according to NIST, viscosity drops from 1.7911 cP at 0.01 °C to 0.28166 cP at 99.974 °C, more than six times lower. Use the fluid data sheet for startup and operating conditions; unit conversion does not predict that variation. For Saybolt conversion, retain temperature and identify Universal or Furol and the applicable method.

What is the maximum viscosity the FBE gear pump handles?

The FBE table lists up to 100,000 SSU for 3- to 6-inch sizes, with speed linked to the viscosity range. Smaller sizes have their own limits. This does not validate every liquid: composition, solids, temperature, suction, pressure and material compatibility must also be checked by engineering.

ASTM D2161: Saybolt conversion scope

Hydraulic Institute: viscosity and density

NIST SP 811, Appendix B.9: viscosity conversion factors

NIST Chemistry WebBook: thermophysical properties of water

The Saybolt conversion is defined at a reference temperature; the design value must always be the viscosity at the actual pumping temperature. The final pump sizing is closed by FB Bombas engineering in the technical proposal.