Semi-dimensionless form

Semi-continuous reactor 423, 426, 475, 518 Semi-dimensionless form 649 Sensitivity... 

Using finite-differencing techniques for any given element n, these relations may be expressed in semi-dimensionless form using the definitions... 

In this section we establish the equation of the forward scan current potential curve in dimensionless form (equation 1.3), justify the construction of the reverse trace depicted in Figure 1.4, and derive the charge-potential forward and reverse curves, also in dimensionless form. Linear and semi-infinite diffusion is described by means of the one-dimensional first and second Fick s laws applied to the reactant concentrations. This does not imply necessarily that their activity coefficients are unity but merely that they are constant within the diffusion layer. In this case, the activity coefficient is integrated in the diffusion coefficient. The latter is assumed to be the same for A and B (D). 

The analytical solution to Equation 2 for a semi-infinite medium with first-type boundary conditions may be written in dimensionless form as (Powers et cil, 1991) ... 

Consider steady state conduction in a semi-infinite rectangular strip. The governing equation in dimensionless form is... 

This function, at present being unknown, can be determined as we notice that the semi-empirical relations for the inner- and outer layers are different in form, but they must overlap smoothly in the intermediate layer. Mathematically, this implies that the dimensionless functions, i.e., /( ) and o(f), should approach the same as3miptotic value in the overlap region (e.g., [108] [121], p 275). The velocity gradient can thus be expressed in both sets of scales... 

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