4 years ago

Attainability of maximum work and the reversible efficiency from minimally nonlinear irreversible heat engines.

M. Ponmurugan

We use the general formulation of irreversible thermodynamics and study the minimally nonlinear irreversible model for heat engines operating between a time varying hot heat source of finite size and a cold heat reservoir of infinite size. We explicitly calculate the condition for obtaining optimized work output for this model once the system reaches the final thermal equilibrium state with that of the cold heat reservoir. We find that our condition resembles with the generalized condition to achieve an optimized work output for generalized irreversible heat engines in the nonlinear regime [Y. Wang, Phys. Rev. E {\bf 93}, 012120 (2016)]. We also find that the optimized efficiency obtained by this minimally nonlinear irreversible heat engine can reach the reversible efficiency under the tight coupling condition in which there is no heat leakage between the system and the reservoirs. Under this condition, we find that the reversible efficiency is obtain for any finite time interval with arbitrary power. We also calculate the efficiency at maximum power from the minimally nonlinear irreversible heat engine under the non-tight coupling condition. We find that the efficiency at maximum power is equal to the half of the reversible efficiency and the corresponding maximum work is half of the exergy for a specific choice of the heat leakage term. Our result matches exactly with the efficiency and the work at maximum power obtained in Ref. [Y. Izumida and K. Okuda, Phys. Rev. Lett. {\bf 112}, 180603 (2014)] for the exergy study of linear irreversible heat engines under the tight coupling condition.

Publisher URL: http://arxiv.org/abs/1604.01912

DOI: arXiv:1604.01912v3

You might also like
Discover & Discuss Important Research

Keeping up-to-date with research can feel impossible, with papers being published faster than you'll ever be able to read them. That's where Researcher comes in: we're simplifying discovery and making important discussions happen. With over 19,000 sources, including peer-reviewed journals, preprints, blogs, universities, podcasts and Live events across 10 research areas, you'll never miss what's important to you. It's like social media, but better. Oh, and we should mention - it's free.

  • Download from Google Play
  • Download from App Store
  • Download from AppInChina

Researcher displays publicly available abstracts and doesn’t host any full article content. If the content is open access, we will direct clicks from the abstracts to the publisher website and display the PDF copy on our platform. Clicks to view the full text will be directed to the publisher website, where only users with subscriptions or access through their institution are able to view the full article.