Boundary Layer Solution of the Mass Transfer Equation Around a Gas Bubble

11-6 BOUNDARY LAYER SOLUTION OF THE MASS TRANSFER EQUATION AROUND A GAS BUBBLE 

The concentration of mobile component A is expressed in terms of the dimensionless profile P r, 6), which must satisfy the following partial differential equation  

The quantity in brackets on the left side of (11-136) has units of a diffusivity (i.e., length /time). Hence, it shonld be proportional to A,mix- The two ODEs 

The dimensionless profile P can be expressed in terms of the error function when the constant in the following equation is 2  

Once again, this choice of the constant does not bias this analysis of mass transfer boundary layer theory when the concentration profile and the boundary layer thickness are viewed as a pair. Hence, 

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