# Fatty deposits in blood vessels pose a health risk. Chemical agents added to the blood can increase.

Fatty deposits in blood vessels pose a
health risk. Chemical agents added to the blood can increase the solubility of
the fatty deposits in blood, thereby providing a means to dissolve the fatty
deposits in situ. To explore the mass-transfer characteristics of this
phenomenon, a biological engineer set up the experiment shown below. The inner
walls of a smooth, 0.8 cm inner diameter tube are uniformly coated with a thin
layer, 0.01 cm, of lipophilic material called fatty compound A (FA for short).
A synthetic solution (B) is pumped through the tube at a

volumetric flow rate of 3.0 cm3
»

Fatty deposits in blood vessels pose a
health risk. Chemical agents added to the blood can increase the solubility of
the fatty deposits in blood, thereby providing a means to dissolve the fatty
deposits in situ. To explore the mass-transfer characteristics of this
phenomenon, a biological engineer set up the experiment shown below. The inner
walls of a smooth, 0.8 cm inner diameter tube are uniformly coated with a thin
layer, 0.01 cm, of lipophilic material called fatty compound A (FA for short).
A synthetic solution (B) is pumped through the tube at a

volumetric flow rate of 3.0 cm3/s.
The maximum solubility of FA in this synthetic solution is 20 mg FA/cm3
solution (). At the conditions
of the experiment, the kinematic viscosity of the synthetic solution is 0.02 cm2/s,
the density of the synthetic solution is 1.04 g/cm3 and the
diffusion coefficient is . The density of the
solid FA is 1.10 g/cm3. As the solution flows down the length of the
tube, the concentration of FA changes with axial position, z, according to the
material balance model:

How long should the tubing be if the
desired outlet concentration of FA is 0.010 mg/cm3?

»

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