(Solution) - Use the method of lines with a five point biased upwind -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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Use the method of lines with a five-point, biased, upwind finite-difference approximation and a stiff integrator to perform PSA cycle calculations that approach the cyclic steady state for the data and design basis in Example 15.14, starting from:
(a) A clean bed, and
(b) A bed saturated with the feed. Are the two cyclic steady states essentially the same?