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A microfluidic chip (see figure below) is designed to transport an incompressible fluid of viscosity u from reservoir A to B and C where chemical analysis is performed. The device is made of 3 cylindrical channels with the dimensions described in the figure. A constant pressure head Ap > O drives a steady volumetric flux la. Find the length fraction a so that the reservoir C receives four times more fluid than the reservoir B. d₂ = √2d, top view (1 – a)l2 ala Po+ Ap B QB a ac Po dal ly Illes d A
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