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# Download A C^1 explanding map of the circle which is not weak mixing by Quas A. N. PDF

By Quas A. N.

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59) ' with boundary conditions accounting for the continuity of the velocities distribution and the flows of momentum and mass at the phase interface: x = 0, Uj=uJo, Cj=cj0, j = l,2; 41 y = 0, MDt %c2> du. dUj u} =u 2> M1 8c M2 dy~ dy' j = U, DlP] dc{ D2p] dc2 = d pw y >>->oo, ux=ulQ, y-^co, u2 = w 2 0 , p]o d y cx=cl0; c2 = c 20 . 20): /.. 2. L p, XH Vci Sh. = —'- - Jdx, ' D Pjo c,o-XC2oio\dy ) y , 0 j = l,2. SjUjvs/j, v,=(-7y-'ftj;| U J0VJ y,-ti C J = CJO - ( - z)'~' {c,o - Xc20 )Wj • Sc J=f Thus, as a result is obtained: j = l,2.

N; m = l,2; q = l,2). 37 Fig. 7. Influence of the mass transfer direction on the mass transfer rate. In the cases when m=q, the direction of the non-linear mass transfer and the multicomponent mass transfer is one and the same, and when m^q, the directions are opposite. ,n;m = 1,2;q = 1,2) and Shi0 {6 = 0) for the same concentration gradients Ac is displayed on Fig. 7. ,n; q = 1,2). It can be seen that the increase of the concentration gradient leads to an increase of the multicomponent mass transfer rate in the cases, where its direction is the same as the one of the non-linear mass transfer (m=q).

3. GAS-LIQUID AND LIQUID-LIQUID SYSTEMS The interphase mass transfer in the gas-liquid and the liquid-liquid systems is associated primarily with the industrial absorption and extraction processes. The process intensification through generation of big concentration gradients in the gas and the liquid leads to manifestation of non-linear effects in the kinetics of the mass transfer in the gas and liquid phases. In this way the interphase mass transfer in the gas-liquid and the liquid-liquid systems becomes non-linear.