Potential Distribution in a Hull Cell

Current density distributions in electrochemical systems are governed by Laplace equation (Newman, 1991) with linear/nonlinear boundary condition at the boundaries (electrodes). Consider a Hull cell (see Fig. 6.13) in which a metal is deposited at the cathode (Subramanian and White, 1999). 

The cathode surface is defined by the equation y = l+0.5x. The semianalytical technique developed earlier can be used for equation (6.24). The only change is the calculation of constants because of the fourth boundary condition (cathode). This is taken care of by using the equation for the cathode surface for calculating the constants. 

6 Method of Lines for Elliptic Partial Differential Equations 

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