Entropy Generation and Integral Inequalities

Xiaowei Tian, Liqiu Wang

Research output: Journal article publicationJournal articleAcademic researchpeer-review


As a typical irreversible process, the heat conduction in rectangles results in entropy generation. As time tends to infinity, this entropy generation evolves into a finite value when the heat conduction comes from the initial temperature distribution, but into infinity whenever a positively-averaged heat source is involved. An application of the second law of thermodynamics to this process leads to nine integral inequalities which are important for studying heat-conduction equations and for uncovering some basic features of the total multiplicity and the Boltzmann entropy. The work correlates the second law of thermodynamics in thermodynamics and integral inequalities in mathematics, and inspires the future work in offering some fundamental insights into our future.

Original languageEnglish
Pages (from-to)56-65
Number of pages10
JournalES Energy and Environment
Publication statusPublished - Sept 2019
Externally publishedYes


  • Entropy generation
  • Heat conduction
  • Integral inequalities
  • Second law of thermodynamics

ASJC Scopus subject areas

  • Renewable Energy, Sustainability and the Environment
  • Environmental Engineering
  • Materials Science (miscellaneous)


Dive into the research topics of 'Entropy Generation and Integral Inequalities'. Together they form a unique fingerprint.

Cite this