Minimization of Temheat Destruction Rate and Entropy Generation Rate in a 1D Transient Conductive Slab


Al-Hamed K. H. M., Sahin A. Z.

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING, cilt.45, sa.11, ss.9497-9503, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 11
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s13369-020-04823-w
  • Dergi Adı: ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, Pollution Abstracts, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.9497-9503
  • Anahtar Kelimeler: Temheat, Entropy, Natural processes, Transient heat conduction, Case study, Minimization, HEAT, OPTIMIZATION, FLOW, CYCLE
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

In this work, a comparison is made for the behavior of the total entropy generation and the total temheat destruction during a transient heat conduction process. A slab undergoing a 1D heat conduction is used as an example to illustrate the transient behavior of both entropy generation and temheat destruction rates. Formulations of the studied quantities are expressed mathematically and used to analyze the system. Next, plots of entropy generation rate and temheat destruction rate over time are generated. It was found that the entropy generation rate reaches a minimum before the steady state is reached. However, temheat destruction rate reaches a minimum only at a steady state. Additionally, causing a more dramatic temperature change in the system increases the steady-state value of temheat destruction rate, but it does not cause a minimum to appear before reaching the steady state, unlike for the entropy generation rate. The practical aspect and the application of temheat destruction minimization are in determining the steady temperature distribution in a complex geometry by minimizing the total temheat destruction through variational calculus or other numerical optimization techniques. Thus, this technique can be an alternative way of determining the steady temperature distribution in a given system.