Wave processes on heat generating surfaces in pool boiling

Steady-state solutions in a nonlinear pool boiling model

“…On mesoscopic length and time scales two-mode boiling states correspond to heterogeneous temperature fields on the interface: "lower" temperatures correspond to nucleate boiling regions; "higher" temperatures are associated with film boiling regions. 1 Furthermore, the propagation of boundaries between adjacent boiling regions during evolution of the transition mode towards one of the stable modes is consistent with the propagation of thermal waves at the fluid-heater interface [9,10]. This phenomenological connection between a (mesoscopic) boiling mode and interface temperature admits a heateronly modelling approach that omits the boiling fluid and describes the (qualitative) behaviour of the boiling system entirely in terms of the temperature distribution within the heater.…”

“…The bifurcation diagram (Figure 4a) shows the solutions in terms of the functional T Σ = n T n as a function of the nonlinearity parameter P . The heavy curves are the solution branches corresponding to the homogeneous solutions (9). The lower (nearly-horizontal) branch coincides with the intersection T (1) F that exists for all 0 ≤ P ≤ 1; the upper branch, with a turning point at P B , coincides with the two intersections T (2,3) F that exist only in the interval P B ≤ P ≤ 1 (here P B ≈ 0.926).…”

“…The heater-only approach has found widespread application for the analysis of pool boiling on "thin" heaters such as wires and foils [9,[11][12][13][14][15]. In such configurations the heat-flux relation results in a nonlinear source term in the heat governing equations that thus these are very similar to reaction-diffusion systems [10] and generic current-carrying systems [16].…”

The Evolution of Temperature Disturbances During Boiling of Cryogenic Liquids on Heat-Releasing Surfaces

“…and asymptotic behavior of propagation velocity of the film site boundary during long time under the stabilized regime corresponds satisfactory to the analytical solution of (Zhukov S.A. et al, 1980) …”

Two‐mode boiling on a horizontal heating wire

“…Van Ouwerkerk (1972) obtained a critical size of dry spot beyond which the dry area will grow and discussed the stability of nucleate and film boiling. Zhukov et al (1980) analyzed wave propagation by film boiling over the surface of a heating element. By neglecting the true transition boiling zone, they obtained an equation for the propagation velocity of film boiling.…”