McAllister equation

There are several other blending rules for solution viscosit) for example, see References [10-12]. The simple additivity rule expressed by Eq. (2.1) or (2.2) might be applicable to mixtures of liquids with dispersive-type interactions but, as shown in Figure 2.1, not to strongly interacting polar, associating ones. The third-order McAllister equation has four interaction parameters for a mixture of liquid 1 with liquid 2, that is, 11, 22,12, and 21, and thus it can describe more complex viscosity dependencies. 

Figure 2.1 Viscosity at 293.15 K of 2-propanone with four alcohols propanol, methylpropanol, butanol, and methylbutanol. Points experimental data from Reference [13] lines calculated from the McAllister equation [11],...

McAllister gives the following equation for the vapor formed when filling a tank. This must be known when sizing the vapor piping for a manifolded expansion-roof tank system. 

To compute electrostatic potential and field distributions in very complex geometries, this equation, or one of its subsidiaries, can be solved numerically subject to a set of boundary conditions (McAllister et al.,... 

To analyze data using these two methods one must make two assumptions (1) that a sorptive entering the chamber can either be sorbed or remain in solution, and (2) the sample is perfectly mixed i.e., the concentration in the mixing chamber equals the effluent concentrations. With these assumptions, one can then develop an equation for mass balance which can be used to analyze time-dependent data using a continuous flow method (Skopp and McAllister, 1986) ... 

The last term (Sq/dt) is an implicit reaction term expressing the unknown rate law. This term is written so that it is applicable to ion exchange, specific adsorption, precipitation or an enzyme-catalyzed reaction. This is possible since Eq. (3.2) represents a single equation in two unknowns (Skopp and McAllister, 1986). 

For the simplest mixture of two components, McAllister provided the following empirical equation for the kinematic viscosity [33] ... 

Figure 2. McAllister s equation v, ( ) and ( a ) fitting parameters vs t/°C for ED/DMF binary mixtures [57].

It should be noted that McAllister s equation seems to be very versatile and has been successfully applied to ternary mixtures and more complex solvent systems, too, employing an expanded form of Equation 4 with as many fitting parameters as the number of components in the mixtures [34]. 

---