Plot flux as a function of time

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Transport Phenomena Assignment -

1. Diffusion in a multilayer domain

Consider the following simplified model that was introduced in class. The tissue domain consists of two attached tissues. The applied drug reacts in one tissue and not in the second; see diagram. The associated diffusion-reaction model in the two connected tissue is given as follows:

1417_figure.png

At interface both concentration and flux are continuous

998_figure1.png

The concentration in the tissue is continuous with concentration in the surrounding fluid (same units). The topically applied drug does not specifically partition into the tissue.

[Partition coefficient is unity from surrounding fluid to tissue 1 and from tissue 1 to tissue 2, and from tissue 2 to surrounding fluid.]. Following are known parameters:

D1 and D2 are respectively 200 and 400 µm2/minute and may be treated as constants in the current problem. The thickness of the tissues one and two are, respectively 200 and 100 microns. Kinetic constant is k1 = 0.02 min-1(g/m3)-1.

Consider non-dimensionalizing the model prior to numerical work.

1. Apply a Method of Weighted Residual and obtain concentration profiles as a function of time. Show at least three profiles. Obtain one, two and three interior collocation solutions. Second part of the problem is to determine flux into the anterior chamber (x = L). Plot flux as a function of time.

Reference no: EM131990199

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len1990199

5/21/2018 12:58:21 AM

I just wanted to make sure that I would get detailed solutions and that they were done using the method of weighted residuals. Partition coefficient is unity from surrounding fluid to tissue 1 and from tissue 1 to tissue 2, and from tissue 2 to surrounding fluid.

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