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DOI: 10.23952/cot.2024.32
Received August 13, 2023; Accepted October 2, 2023; Published online May 20, 2024
Abstract. An optimal control approach is employed to determine the best possible cross-sectional profile of 1-D Rayleigh and Fanno flows in scramjet engines. The desired cross-sectional profile is sought after by means of Pontryagin’s Minimum Principle. The performance index is the exit Mach number or the exit total pressure. The solution is analytically shown to be in most cases a non-singular “bang-bang” type. Thus the optimal slope is either zero or maximal, except when the minimum allowable Mach number is reached. Numerical solutions verify the analytical results.
How to Cite this Article:
J. Z. Ben-Asher, An optimal control approach to Rayleigh and Fanno flows in scramjet engines, Commun. Optim. Theory 2024 (2024) 32.