Question
Manually write (by hand, using the Word equation editor, etc.; dont cut and paste) the complete differential component mass balance (DCMB) equation (from my solving
Manually write (by hand, using the Word equation editor, etc.; dont cut and paste) the complete differential component mass balance (DCMB) equation (from my solving the differential balances handout), cross out the irrelevant terms, and provide the appropriate initial and boundary conditions necessary to find the transient oxygen concentration distribution in a vascular scaffold implant. Assume the scaffold is a solid cylinder of radius, R, and length, L. Assume R and L are comparable such that it would be inappropriate to assume infinite length. Use r and l, to denote radial and axial positions, respectively. Call the initial oxygen concentration distribution in the implant Ci(r, l). Assume that at the time of implantation the oxygen concentration at the surface of the implant instantaneously changes to Cs. Overall the range of expected oxygen concentrations, assume a metabolic consumption rate of oxygen throughout the implant (by pre-seeded cells) of bC, where b is a constant and C is the local oxygen concentration. Supply other necessary assumptions, if any.
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