Page 64 - Corrosion Engineering Principles and Practice
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44   C h a p t e r   3                          C o r r o s i o n   E l e c t r o c h e m i s t r y    45


                      FIGURE 3.7
                      Formation of ions
                      at an anodic area       H +
                      and release of             Fe 2+
                      hydrogen at a
                      cathodic area in         H +
                      a local cell on an   Fe 2+     Fe 2+       Anode
                      iron surface.
                                            H +     H +            e –


                                               H +
                                                          H 2
                                                  H +          Cathode
                                          H +

                                                  H +





                 3.5  Surface Area Effect
                      When a piece of metal is freely corroding, the electrons generated at
                      anodic  areas  flow  through  the  metal  to  react  at  cathodic  areas
                      similarly exposed to the environment where they restore the electrical
                      balance of the system. The fact that there is no net accumulation of
                      charges on a corroding surface is quite important for understanding
                      most corrosion processes and ways to mitigate them. However, the
                      absolute equality between the anodic and cathodic currents expressed
                      in  Eq.  (3.23)  does  not  mean  that  the  current  densities  for  these
                      currents are equal.

                                           I anodic  =  I cathodic         (3.23)
                      When Eq. (3.23) is expressed in terms of current densities in Eq. (3.24)
                      by considering the relative anodic (S ) and cathodic (S ) surface areas
                                                                   c
                                                     a
                      and their associated current densities i  and i  expressed in units of
                                                       a
                                                             c
                      mA cm , for example, it becomes clear that a difference in the surface
                            −2
                      areas  occupied  by  each  reaction  will  have  to  be  compensated  by
                      inequalities in the current densities as expressed in Eq. (3.25).
                                    I anodic  =  i ×  S =  I cathodic  =  i ×  S    (3.24)
                                                          c
                                                              c
                                               a
                                           a
                                                   S
                                              i =  i c  S c a              (3.25)
                                              a
                         The implications of the surface area ratio S /S  in Eq. (3.25) are
                                                              c
                                                                 a
                      particularly important in association with various forms of local cell
                      corrosion  such  as  pitting  and  stress  corrosion  cracking  for  which
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