(Solved):   3. Consider the microfluidic circuit made up of four rectangular channels shown below in w ...

 

3. Consider the microfluidic circuit made up of four rectangular channels shown below in which the depths of the channels, \( \mathrm{h} \) and the widths, \( \mathrm{W} \) are the same for all channels. The lengths of the inlet and outlet channels is \( L \), and the length of the middle two channels is \( 2 \mathrm{~L} \). Compute the relationship between the overall pressure drop DP and the flow rate \( Q \) in terms of \( \mathrm{L} \) and \( C \).