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Potential-pH Diagrams
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Intelligent Tools
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Corrosion Calculator
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Corrosion Economics Estimator
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TUTORIAL ON CORCALC (Corrosion Rate Calculator)
David C. Silverman
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Table of Contents
Corrosion Rate From Corrosion Current Appropriate use of electrochemical measurements such as polarization resistance,
electrochemical impedance spectroscopy, Tafel extrapolation, and galvanic cell testing
ultimately results in the estimation of a corrosion current density. This current
is a measure of the corrosion rate. In many practical situations, this number needs
to be transformed into a penetration rate to make a practical prediction in
industry, to enable comparison with other mass loss derived coupon immersion results,
or just be presentable to
individuals not familiar with corrosion terminology. This calculator
transforms corrosion current into penetration rate.
The corrosion rate as a penetration rate is calculated from the corrosion current by
the following equation:
(3)
where:
CR = corrosion rate (mil per year or mm per year depending on units of K)
K = constant for converting units
icor = corrosion current density (microamp/cm2 or amp/cm2)
ρ = alloy density (gram/cm3)
EW = alloy equivalent weight (gram/equivalent)
The inputs required in the Corrosion Current Conversion Calculator are the values
needed for equation (3), the corrosion current density in microamp/cm2
or amp/cm2, the alloy
density in gm/cm3, and the alloy equivalent weight in gm/equivalent. Some alloy
densities are available in the
Table of Selected Alloy Denisities.
Some alloy equivalent weights are available in the
Table of Equivalent Weights.
An Equivalent Weight Estimator
can be used for alloys not in the table.
The conversion between corrosion current and penetration rate requires using the
alloy equivalent weight which is the mass per equivalent. This equivalent weight
is given for a pure element by:
(4)
where:
EW = alloy equivalent weight (gram/equivalent)
Matomic = atomic mass of the metal (gram/mole)
n = valence of the metal (equivalents/mole)
The equivalent weight is more complex in the case of alloys because it must account
for all of the elements that are being oxidized and contributing to corrosion.
If corrosion does not occur selectively then all metallic components have to be considered
at their concentrations in the alloy. If only certain elements participate, then only
those elements need be considered. The equivalent weight for the alloy is given by:
(5)
where:
EW = alloy equivalent weight (gram/equivalent)
ni = valance of alloying element "i" (equivalent/mole)
fi = mass fraction of alloying element "i"
Ai = atomic mass of element "i" (gram/mole)
The summation is run over all elements that participate in the reaction. Elements that
have a mass fraction of less than 0.01 (less than 1% by weight) can usually be ignored in
the calculation and can be ignored in the Equivalent Weight Estimator .
When an elemental composition for the alloy in question has not been measured,
the best approach is to use a value that is in the middle of the range for that
element in the alloy. Use the Equivalent Weight Estimator when the alloy or valences
have not been tabulated.
The mass percent must be used for the estimator to function properly. The mass
fraction is NOT used in this calculator. In other words, if the alloy is 316ss and the chromium
composition is 17% by weight, the value to be used for the fraction of chromium (fchromium)
is 17. The value to be entered is 17. This approach is taken to make data entry easier
since most alloy compositions are given as percentages not mass fractions. See below for
information on methods of estimating the valences.
Valence assignments for elements having more than one valence state can be tricky.
One approach to making the estimate of the proper valence is to measure the corrosion
potential of the alloy in the environment and measure the pH. Placing that coordinate
on the potential-pH diagram for the element would allow an estimate to be made of the
most stable valence under those conditions. That value may or may not be the actual
value because (1) the element may behave differently in the alloy and (2) the corrosion
potential is at best a steady state potential not an equilibrium potential so the state
of the element in the alloy may not be the equilibrium state. But, this approach should
allow for a judgment to be made. Sometimes corrosion product analysis will enable a
judgment to be made as well. The Table of Selected Equivalent Weights
shows examples of a number of combinations for some more common alloys. Use the Equivalent Weight Estimator
if the alloy is not included in the table. You, the user,
must make the judgment of which valence state to use.
This calculator makes the assumption that the methodology used to transform the
electrochemical measurement itself into the corrosion current is correct.
The tutorial on Electrochemical Impedance Spectroscopy
provides some guidelines for estimating corrosion rates from this technique.
ASTM G-102 "Standard Practice for Calculation of Corrosion Rates and Related
Information from Electrochemical Measurements" provides guidelines for estimating
corrosion rates from the polarization resistance technique. Six additional criteria
must be fulfilled for the corrosion rate to be estimated from polarization resistance
data (e.g. from electrochemical impedance spectroscopy or polarization resistance
measurements) using anodic and cathodic Tafel type constants:
- The Butler-Volmer equations of electrochemical kinetics are applicable.
- Ohmic drops in the electrolyte and in the surface are absent. Appropriate
correction is assumed to have been made for the uncompensated resistance.
- Concentration polarization resistance is absent if both anodic and cathodic
Tafel slopes are used. Otherwise, one of the Tafel slopes is infinite.
- The corrosion potential does not lie close to the reversible potential of either
of the two reactions. These reactions are the anodic reaction, usually metal
oxidation, and the cathodic reaction, usually oxygen or hydrogen reduction.
- The entire alloy surface functions simultaneously as a cathode and an anode
rather than being a mosaic of separate cathodic and anodic areas. This requirement
is almost always violated in electrochemical measurements when examining other than
alloys in fairly strong acids such as sulfuric acid or hydrochloric acid.
Localized corrosion cannot be present.
- No secondary electrochemical reactions are occurring. This requirement
may be violated when additional adsorption equilibria or additional surface
reactions occur.
More information on these requirements can be found in F. Mansfeld, "The Polarization
Resistance Technique for Measuring Corrosion Currents", in "Advances in Corrosion
Science and Engineering", Vol. 6, Plenum Press, NY, p. 163 (1970) and in D. C. Silverman
"Practical Corrosion Prediction Using Electrochemical Techniques" in Uhlig's Corrosion
Handbook, 2nd edition, R. W. Revie, ed., John Wiley, 2000
(1806k)
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Previous Page: Corrosion Rate from Wire Return to Table of Contents
Return to CORRCALC
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David C. Silverman, Ph.D. - Primary Consultant
E-Mail: dcsilverman@argentumsolutions.com
Phone: 314-576-3586
Fax: 314-754-9825
Address: The Argentum House
14314 Strawbridge Ct.
Chesterfield, MO 63017
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