A k-omega model for stellar turbulent convection

Astronomy and Astrophysics – Astrophysics – Solar and Stellar Astrophysics

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

13 pages, 13 figures, submitted to ApJ

Scientific paper

Both observations and numerical simulations show that stellar convective motions are composed of semi-regular flows of convective rolling cells and the fully developed turbulence. Although the convective rolling cells are crucial for the properties of the stellar convection that transports heat and mixes materials in the stellar interior, their contributions have not been included in turbulent convection models proposed up to now. We simplify the structure of the convective rolling cells as a cellular pattern moving circle by circle with different angular velocities around the center, estimating their typical size by solving approximately for the temperature difference over the stationary temperature background and their average shear of velocity by evaluating approximately their kinetic energy transformed by themselves working as thermal engines from the heat involved in the convective rolling cells. We obtain a steady state solution in the fully local equilibrium which is similar to what is obtained in the standard mixing-length theory, by applying such model assumptions to the standard $k$-$\varepsilon$ model and properly choosing the model parameter $c_{\varepsilon 3}$. Accordingly, we propose a $k$-$\omega$ model to include the transport effect of turbulence in stars. Preliminary results of their applications to the sun and other stars with different masses and in different evolutionary stages show good agreements with results of the standard mixing-length theory and results of numerical simulations for the stellar convection.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A k-omega model for stellar turbulent convection does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A k-omega model for stellar turbulent convection, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A k-omega model for stellar turbulent convection will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-443596

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.