Topic
Stefan number
About: Stefan number is a research topic. Over the lifetime, 482 publications have been published within this topic receiving 32056 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this paper, an approximate analytical model to evaluate the temperature distribution and position of the solid-liquid interface during the solidification of the phase change material inside a two-dimensional finned container with time-dependent boundary condition is presented.
8 citations
TL;DR: In this paper, the authors investigated thermal energy storage in the phase change materials (PCMs) around a confined heated cylindrical heat source and explored three major objectives, namely, evolution of melting front around the cylinear heat source, quantification of overall rate of heat transfer and identifying the factors to maximize the energy storage.
8 citations
TL;DR: In this article, three exponential iterative methods for one-dimensional one-phase Stefan problems based on the transformation of the moving boundary problem into a mixed one, the discretization of the time variable, and the piecewise linearization of resulting two-point boundary value problem at each time step are proposed.
Abstract: Three exponential iterative methods for one-dimensional one-phase Stefan problems based on the transformation of the moving boundary problem into a mixed one, the discretization of the time variable, and the piecewise linearization of the resulting two-point boundary-value problem at each time step are proposed. Two of the methods are based on the strong conservation-law form of the governing equation and analytically solve a piecewise advection–diffusion equation, whereas the third exponential technique accounts for transient, advective, and diffusive effects when determining the solution. These exponential methods provide piecewise-analytical (exponential) solutions, which, by imposing continuity conditions, are globally continuous throughout the domain, and one of them provides globally smooth solutions. The methods have been applied to the classical one-phase Stefan problem and solutions in excellent agreement with the exact ones have been obtained for several Stefan numbers. In addition, it is shown that the method that accounts for transient, advective, and diffusive effects preserves the similarity of the analytical solution to Stefan problems, yields a tridiagonal matrix, and exhibits a spatial accuracy of, at least, fourth order. Application of this method to a forced one-phase Stefan problem indicates that it provides solutions in excellent agreement with those obtained by means of explicit finite difference and nodal integral techniques, and that the melting-front location exhibits some oscillations in the initial stages whose amplitude decreases as the Stefan number is decreased and as time increases, but which increases as the amplitude of the forcing temperature is increased. It is also shown that the temperature profiles in the liquid are affected by the amplitude and frequency of the forcing and the Stefan number.
8 citations
TL;DR: In this article, the authors defined the amplitude of vibration as the ratio of amplitude to aspect ratio of phase change material, as well as the specific heat properties of the phase change materials.
Abstract: Nomenclature A = amplitude of vibration AR = aspect ratio, H/W a = maximum acceleration of vibration, (27r/)A Cp = specific heat Fo = Fourier number, at/HW Fr = Froude number, alg f = frequency of vibration Gr = Grashof number, gfi(Tw Tf)H/v g = gravitational acceleration H = height of test cell k = thermal conductivity Ste = Stefan number, CP(TV Tf)/&hf T = temperature t = time W = width of test cell a = thermal diffusivity j8 = thermal expansion coefficient A/I/ = latent heat of phase change material
8 citations
TL;DR: In this article, the energy storage capability of a suspension of nano-encapsulated phase change material (NEPCM) nanoparticles was addressed in an enclosure during the charging and discharging process.
8 citations