On the nonlinear instability of a thermal field

Details On the nonlinear instability of a thermal field On the nonlinear instability of a thermal field

Apr 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...407..611i&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 407, no. 2, p. 611-619.

Statistics

Computation

12

Computational Astrophysics, Conductive Heat Transfer, Cosmic Plasma, Magnetohydrodynamic Stability, Abundance, Differential Equations, Heat Transfer Coefficients, Perturbation Theory

Scientific paper

A hierarchy of second-order differential equations governing nonlinear thermal perturbations in one dimensional plane structures was obtained. The above equations are analytically solved by successive approximations assuming a thermal conduction coefficient. For the trivial solution, explicit analytical criteria for supercritical stability, subcritical instability, asymptotic stability, and superexponential instability were obtained for heated and cooled thermal structures heated and cooled. In particular, these criteria depend not only on the scale length of the disturbance but also on its amplitude and direction. Additionally, it was also shown that close to the marginal state, a supercritically stable saturated solution tends to the corresponding steady stable solution, and the threshold value for a subcritically unstable solution tends to the corresponding unstable solution obtained from the numerical integration, respectively, as it should be. The results are applied to thermal structures constituted of a plasma with solar abundances.

Affiliated with

Also associated with

No associations

Rating

On the nonlinear instability of a thermal field 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 On the nonlinear instability of a thermal field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the nonlinear instability of a thermal field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1369766