Consider microchannels shown in Figure 2 below. Note that all channels have circular cross sections. ? and ? are the length and radius of individual channels. Take ?1 =1.5?2 =?3 =120 mm, ?1 =?3 =10 ?m, 3?2?1 =2?2?2 =?2?3 =18 ?m, ?????? = 11.310?4 [????], ????? =120 kPa.

2. (30 points) Consider microchannels shown in Figure 2 below. Note that all channels have circular cross sections. L and T are the length and radius of individual channels. Take L1 = 1.5L2 = L3 = 120 mm, r1 = T3 = 10 um, 3r2_1 = 2r2_2 = T2_3 = 18 ,um, ,uwater = 11.3 x 104 [Pa - s], Pa_d = 120 kPa. Figure 2 a) Draw an equivalent circuit diagram b} Find the total hydraulic resistance between a and d. c] Find flow rates [ch'uppm ch,middle: and ch,zowerl through the three individual channels between b and c