Name
Abstract | ||
|---|---|---|
In this paper we consider a model for pool-boiling systems known from the literature. This model involves only the temperature distribution within the heater and models the heat exchange with the boiling medium via a nonlinear boundary condition imposed on the fluid-heater interface. The model allows multiple homogeneous (i.e., spatially constant) and multiple heterogeneous steady-state solutions. The structure of this family of steady-state solutions has been studied by means of a bifurcation analysis in two recent papers by Speetjens, Reusken, and Marquardt [Commun. Nonlinear Sci. Numer. Simul., 13 (2008), pp. 1475-1494; Commun. Nonlinear Sci. Numer. Simul., 13 (2008), pp. 1518-1537]. The present study concentrates on stability properties of these steady-state solutions. To this end, a generic linear and a case-specific nonlinear stability analysis are performed which show that only the homogeneous steady-state solutions of complete nucleate or complete film boiling are linearly stable. All heterogeneous steady-state solutions appear linearly unstable. These stability results are consistent with laboratory observations. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1137/070706823 | SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS |
Keywords | Field | DocType |
pool boiling,stability,bifurcation analysis,numerical simulation | Leidenfrost effect,Nonlinear system,Computer simulation,Bifurcation analysis,Nucleation,Control theory,Mathematical analysis,Boiling,Homogeneous,Heat exchanger,Mathematics | Journal |
Volume | Issue | ISSN |
7 | 3 | 1536-0040 |
Citations | PageRank | References |
1 | 0.48 | 1 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Speetjens | 1 | 1 | 0.48 |
| Arnold Reusken | 2 | 305 | 44.91 |
| Stanislaus Maier-paape | 3 | 9 | 2.68 |
| Wolfgang Marquardt | 4 | 326 | 33.25 |