Steady state behavior of boiling channels: a comprehensive analysis using singularity theory
02 Jun 1999-Nuclear Engineering and Design (North-Holland)-Vol. 190, Iss: 3, pp 303-316
TL;DR: In this article, the steady state behavior of a boiling channel subject to a constant pressure drop was studied using singularity theory and the inlet velocity to the channel was chosen as the state variable.
Abstract: In this paper we present a comprehensive and a complete picture of the steady state behavior of a boiling channel subject to a constant pressure drop. To achieve this we have used singularity theory. The inlet velocity to the channel is chosen as the state variable. Its dependence on the imposed pressure drop chosen as the bifurcation parameter is depicted as bifurcation diagrams. The dependence of these diagrams on the values of the other parameters that occur in the model is discussed in detail. All possible bifurcation diagrams of the system are obtained and the parameter combinations that result in each kind of a diagram are identified. In this problem the Boundary Limit Set plays an important role. It generates a new critical surface in parameter space across which the bifurcation behavior changes.
TL;DR: In this article, a quasilinear Hopf-bifurcation analysis of the marginal stability boundary of a uniformly heated boiling channel is presented. But the analysis is restricted to the case when the effects of gravity and friction are considered.
Abstract: Thermally induced flow instabilities in uniformly heated boiling channels have been studied analytically. The classical homogeneous equilibrium model was used. This distributed model was transformed into an integrodifferential equation for inlet velocity. A linear analysis showed interesting features (i.e. islands of instability) of the marginal stability boundary which appear when the effects of gravity and friction were systematically considered. A quasilinear Hopf-bifurcation analysis, valid near the marginal-stability boundaries, gives the amplitude and frequency of limit-cycle oscillations that can appear on the unstable side of the boundary. The analysis also shows cases where a finite-amplitude perturbation can cause a divergent instability on the stable side of the linear-stability boundary.
01 Nov 1960