Hodograph space

In the multidimensional case (i.e. N > 1), wave solutions are constructed in the phase space of the concentrations also called the hodograph space. For simplicity, the procedure will be demonstrated for a two-dimensional problem (i.e. N = 2). However, the same concepts apply to higher dimensional problems [16, 34, 38]. 

Fig. 5.6. Construction of wave solutions in the hodograph space corresponding to the scenario in Fig. 5.1.

Figure 9.7 Operating lines when the isotherms of two feed components intersect. (a) Isotherms of A, B, and the displacer (solid lines) and two possible operating lines (dashed lines), (b) Corresponding hodograph plots showing tie lines (dashed lines) and the unit selectivity line. The operating and tie lines demarcate the space into three operating regions (see text). Reproduced with permission from F. Antia, Cs. Horvdth, J. Chromatogr., 446 (1991) 119 (Fig. 3).

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