Babies recovering from surgery need to be fed milk from an open syringe through

Question

Babies recovering from surgery need to be fed milk from an open syringe through a nasogastric tube, a slender tube that passes in one nostril and down into their stomach. At what height above the baby's stomach does the syringe need to be to supply a feed rate of 30ml/hour?

Assume the pressure in a baby's stomach is atmpspheric, and a 2m long tube of diameter 2mm with a head loss of 1.76m runs from the syringe into the stomach. The properties of milk can be taken to be: p(density)=1030kg/m^3, viscosity (u)= 0.002Pa.s.

Explanation / Answer

Cross sectional area of tube = (pi/4)*d^2=(pi/4)*(0.002)^2 = 3.14*10^-6 m^2

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