Channel Flow with Soluble or Rapidly Reacting Walls

2 Channel Flow with Soluble or Rapidly Reacting Walls 

For a soluble surface, where the dissolution process is much more rapid than the removal of dissolved particles, we have where is the equilibrium concentration of the satu- 

We have seen in the last example that near the wall the velocity distribution can be approximated as 

Using the nondimensional combination of the variables in the right-hand side, we have 

Dividing the governing equation (equation (4.117)) by in both the sides, we have 

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Channel Flow with Soluble or Rapidly Reacting Walls 67 with the function satisfying the recursion relation... 

For the fully developed velocity profile the mathematical problem again reduces to the solution of the steady form of the convective diffusion equation for the solute concentration. In contrast to the diffusion equation treated in the channel flow problem with soluble or rapidly reacting walls, it is necessary to include here the lateral convection term to account for the product removal through the membrane walls, putting... 

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