Modelling enhanced diffusion

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Modelling enhanced diffusion

Write c for the concentration of the chyme. The partial derivative ct measures the rate of change in the concentration with respect to time. As before, write U=(u,v,w) for the velocity of the chyme (with its eddies). The equation modelling enhanced diffusion is ct+U.c=ν2c. Here U.c=ucx+vcy+wcz. It represents the motion of the drug due to the convection in the chyme. The term ν2c is defined as ν2c=ν(2cx2+2cy2+2cz2). It represents the motion of the drug due to diffusion through the chyme. In this expression ν is a constant called the coefficient of molecular diffusion.

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