Designing Heterogeneous Reactors for Stability

Little, David C.; Schultz, M. A.

doi:10.1109/tns2.1957.4315576

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) + (H T + H S ) T X T 2 + ( T L -R 2 ){H M + H S R S )1

Sl -A | = 0 (15)1

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1961

2023

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“…Furthermore, there is a possibility of instability when H s < 0 and H t > 0 even if H s -f-H f < 0. The linear stability of a reactor with a two-temperature feedback path was also discussed by Bethe [18], Brittan [19], Ackroyd et al [20], and Little and Schultz [21], with different approaches. (See Problem 10 for another application.…”

Section: ) + (H T + H S ) T X T 2 + ( T L -R 2 ){H M + H S R S )mentioning

confidence: 98%

“…*« 1/ (1 *1 I + I «2 I) < W2« (21) We want to find S(CT) such that, when \ z ± \ + | SR 2 | < 8, (21) will be true. Recall that # x and # 2 a r e t n e deviations from the equilibrium power and temperature relative to their equilibrium values.…”

Section: Sl -A | = 0 (15)mentioning

confidence: 99%

“…A region denned by | z x | + I #2 I < 8. then I #1 I + I # 2 I < ^ ŵ ll imply(21). Substituting(22) and(20)into (17a) yields the desired region I *i(0)| + I * 2 (0)| < I Re[y --4y)"*]…”

mentioning

confidence: 97%

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