 Solution

ID: past-exam-of-the-mphil-in-micro-and-nanotechnology-enterprise-course-of-the-university-of-cambridge/2019/paper-2/section-a-iii/19/i/solution

Negligible rail resistance makes all left-hand groove ends equipotential and all right-hand ends equipotential. The

N

equal hydraulic resistances therefore connect in parallel:

R_{chip} = \frac{R _{g}}{N} = \frac{R _{g}}{50} .

Here

Δ p = R_{chip} Q

uses the total inlet flow. The two blind rail ends carry no flow beyond their final grooves.

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