“…This will increase the design dimension to 9, viz., x ¼ [c 1 , ., c 6 , Dp 7,10 , Dp 8,10 , Dp 9,10 ], making it more challenging to construct the surrogate model and to search optimal parameters corresponding to minimum J d . Note that once the optimal values of the pressure difference are found, they can be converted to the inlet pressures at the reservoirs using eqn (9). Because of the identical size of the inlet branch channels in all Y-shaped mixers, the two inlet pressures and the two ow rates through each Y-shaped mixer are equal, that is q 1 ¼ q 2 , q 3 ¼ q 4 , and q 5 ¼ q 6 .…”