Coefficient substitute

Dispersion The movement of aggregates of molecules under the influence of a gradient of concentration, temperature, and so on. The effect is represented hy Tick s law with a dispersion coefficient substituted for molecular diffusivity. Thus, rate of transfer = —Dj3C/3p). 

Dispersion model is based on Fick s diffusion law with an empirical dispersion coefficient substituted for the diffusion coefficient. The material balance is... 

The last expression relates the hl (formal solution for the eigenvalues ... 

Calculate the diffusion coefficient. Substitute the values from steps 1 and 2 into the equation presented in the problem statement. Thus,... 

Calculate the fugacity coefficients. Substituting into the preceding relationship based on the Redlich-Kwong equation,... 

The linear expansion coefficients cj are the Cl coefficients. Substituting this linear expansion into the electronic Schrodinger equation, one obtains61 a matrix form more suitable for computation ... 

Where H is Henry s Law constant for a VOC in water, atm/unit concentration in the aqueous phase P is the total pressure, atm and y is the VOC mole fraction in the gas phase. The product P y is the partial pressure of the VOC above the liquid phase. Henry s Law constants are specific to both the solute and the solvent. The higher the value of H q, the easier it is to remove the VOCs from the aqueous phase. In the nonvolatile solvent, the Henry s Law constant of the VOC (H jj = H q/D) is lowered relative to water due to the greater affinity of the organic solvent for the VOC as measured by the large distribution coefficient. Substituting equation 2 into equation 3 yields ... 

The last expression is based on the definition of the activity coefficient. Substituting this expression in the Gibbs-Duhem equation at constant T and P gives the following ... 

In these expressions, u(v, r) increases exponentially with increasing r, and its coefficient in the final expression for ip must therefore vanish at large r, whereas v(v, r) tends to zero at large r and may therefore have a nonzero coefficient. Substituting into equation (3.4), we have... 

Fugacity coefficient. Substituting (4.4.21) into (4.2.31) gives the isobaric residual chemic potential, then substituting that into (4.3.19) leaves... 

Here S is the area of the boundary, and a is the surface tension coefficient Substituting Ac from the conservation condition, we get... 

A chemical reaction takes place in the surface with a reaction rate f where v) is the stochiometric coefficient. Substituting eqs 14.31 and 14.32 into eq 14.30, and comparing with the entropy balance ... 

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