“…Diffusive time-and length scales for good mixing are also usually impractical, leading to considerable interest in devising strategies to optimize mixing. Active (energysupplying) techniques used range from mechanical pulsation of fluids or device [1][2][3][4][5], electroosmotic forces [6][7][8][9][10][11], electrorheological control fluids [12], other electrokinetic forces [13][14][15][16], magnetic forces or beads [17][18][19][20], and acoustic vibration [21][22][23]. Many experimental [1,[3][4][5]7,[10][11][12][13][14][15]18,[20][21][22][23], numerical [2,4,5,8,10,11,13,15,[18]…”