IDEAS home Printed from https://ideas.repec.org/a/eee/energy/v23y1998i2p113-123.html
   My bibliography  Save this article

The generalized telegraphic process approximation for thermal radiation of a turbulent flow

Author

Listed:
  • Kabashnikov, V.P.

Abstract

The problem of mean thermal radiation transfer in a fluctuating, statistically uniform medium, with spatial temperature distribution given by a generalized telegraphic process, is solved. The solution is based on the use of the Laplace transformation and replacement of an original temperature-fluctuation distribution function by another one, which practically does not distort average terms in the equations for radiation. For this function, we use a superposition of Dirac delta-functions which allow the inverse Laplace transformation to be made analytically. Increasing the number of terms in the superposition, we reduce the error of the solution. The solution obtained is used to estimate the accuracy of the optically-thin pulsation approximation in the theory of radiation transfer in turbulent flows. A case of large fluctuations of the absorption coefficient and Planck function is analyzed. It is shown that the outgoing mean radiation as a function of layer optical thickness has a maximum arising due to the fluctuations. This anomalous dependence may cause a dip in the center of the spectral line radiation profile, even if the layer is statistically uniform.

Suggested Citation

  • Kabashnikov, V.P., 1998. "The generalized telegraphic process approximation for thermal radiation of a turbulent flow," Energy, Elsevier, vol. 23(2), pages 113-123.
    • Handle: RePEc:eee:energy:v:23:y:1998:i:2:p:113-123
    DOI: 10.1016/S0360-5442(97)00066-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0360544297000662
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/S0360-5442(97)00066-2?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:energy:v:23:y:1998:i:2:p:113-123. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/energy .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.