The response of linear cascades to variations of holding times

✍ Scribed by D. Glasser; F.J.M. Horn

• Book ID: 103004458
• Publisher: Elsevier Science
• Year: 1980
• Tongue: English
• Weight: 420 KB
• Volume: 35
• Category: Article
• ISSN: 0009-2509
• DOI: 10.1016/0009-2509(80)87005-9

✦ Synopsis

An arbitrary system of Isothermal first order reactIons with no volume change on reactIon IS considered A corn-son IS made between the response of the system m a cascade of Ideal contu~uous stirred tank reactors and an ideal tubular reactor to varzatlons of holding tunes The performance cntenon chosen IS a linear combination of the exit concentrations and, contrary to what has been pubhshed previously, examples are gwen to show that for an m tank cascade non-equal tank cascades can be locally sta~nary and even locally extreme In spite of thus (except for certam tnvud and degenerate cases) It can be shown that the global extrema occur for equal tank cascades Furthermore, these extrema are dommated by those for an m + 1 tank cascade and these are all dommated by those of the turbular reactor Cases where the performance cntenon 1s augmented by a cost associated wdh the total holclmg time or where the total holdmg tune LS constrmned (equality or mequahty) are also dlscussed In the first case the above results are essentilly unchanged, while m the constramed cases examples are grven to show that non-equal tank cascades can be optimal -