Exercises A drug is administered to the blood via an intravenous tem. In the fig

Question

Exercises A drug is administered to the blood via an intravenous tem. In the figure a two-dimensional schematic is given of the (in a fixed xy-coordinate system). The stationary concentrati of the drug in the blood is sketched by means of iso-c may be assumed that the concentration is constant in thnes coordinates r and y are defined in the unit [mm], the c ImMol per litre] drug delivery sy. iso-concentration lines. concentration is in 7.1 od 10 30 70 60 4050 30 40 10 20 Give an estimate of the gradient c of the concentration field in the with coordinates x = 20 [mm], y = 5 [mm].

Explanation / Answer

c in x direction= d/dx(c)

c in y direction= d/dy(c)

(x,y) coordinate are (20,5)

using the plot,

At (20,5), c is at isoconcentration line with c = 45

At (22,5), c is at isoconcentration line with c = 40

@(x,y)=(20,5), d/dx(c) = (40-45)/(22-20) = -2.5

At (20,7), c is at isoconcentration line with c = 50

@(x,y)=(20,5), d/dy(c) = (50-45)/(7-5) = 2.5

c~=((-2.5)i+(2.5)j) mmMol/litre/mm

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