Skip to main content

The Semenov formulation of the biological self-heating process in compost piles

Journal Article


Download full-text (Open Access)

Abstract


  • We formulate and investigate a uniformly distributed mathematical model (based

    upon Semenov's theory for thermal explosions) for the thermal response of

    cellulosic materials in compost piles. The model consists of a mass

    balance equation for oxygen, a heat balance equation, and incorporates the

    heat release due to biological activity within the pile. Biological heat

    generation is known to be present in most industrial processes handling large

    volumes of bulk organic materials. We utilise singularity theory to

    investigate the generic properties of the model, as well as to determine the

    locus of different singularities, namely the cusp, isola and double limit

    point. Singularity theory provides a useful tool to systematically analyse

    this system. We investigate the conditions where biological activity results

    in the initiation of an elevated temperature branch within the compost pile.

Authors


  •   Luangwilai, Thiansiri (external author)
  •   Sidhu, Harvinder S. (external author)
  •   Nelson, Mark I.
  •   Chen, Xiao Dong (external author)

Publication Date


  • 2010

Citation


  • Luangwilai, T., Sidhu, H., Nelson, M. I. & Chen, X. D. (2010). The Semenov formulation of the biological self-heating process in compost piles. Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 51 C425-C445.

Scopus Eid


  • 2-s2.0-78049452253

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=9284&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/1949

Start Page


  • C425

End Page


  • C445

Volume


  • 51

Place Of Publication


  • http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/2439

Abstract


  • We formulate and investigate a uniformly distributed mathematical model (based

    upon Semenov's theory for thermal explosions) for the thermal response of

    cellulosic materials in compost piles. The model consists of a mass

    balance equation for oxygen, a heat balance equation, and incorporates the

    heat release due to biological activity within the pile. Biological heat

    generation is known to be present in most industrial processes handling large

    volumes of bulk organic materials. We utilise singularity theory to

    investigate the generic properties of the model, as well as to determine the

    locus of different singularities, namely the cusp, isola and double limit

    point. Singularity theory provides a useful tool to systematically analyse

    this system. We investigate the conditions where biological activity results

    in the initiation of an elevated temperature branch within the compost pile.

Authors


  •   Luangwilai, Thiansiri (external author)
  •   Sidhu, Harvinder S. (external author)
  •   Nelson, Mark I.
  •   Chen, Xiao Dong (external author)

Publication Date


  • 2010

Citation


  • Luangwilai, T., Sidhu, H., Nelson, M. I. & Chen, X. D. (2010). The Semenov formulation of the biological self-heating process in compost piles. Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 51 C425-C445.

Scopus Eid


  • 2-s2.0-78049452253

Ro Full-text Url


  • http://ro.uow.edu.au/cgi/viewcontent.cgi?article=9284&context=infopapers

Ro Metadata Url


  • http://ro.uow.edu.au/infopapers/1949

Start Page


  • C425

End Page


  • C445

Volume


  • 51

Place Of Publication


  • http://journal.austms.org.au/ojs/index.php/ANZIAMJ/article/view/2439