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On the Stefan-problem in a finite and moveable system

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Abstract

The one-dimensional Stefan-problem in a finite and moveable system with different densities of the two phases is investigated. The resulting convection leads to important dynamical effects. The corresponding interdependence of temperature, pressure, and movement is treated numerically using a finite-difference-method and is completely discussed with the aid of three non-dimensional numbers, the Fourier-number, the Stefan-number, and a newly introduced dynamical parameter. As technical applications of the theory thermal ink jets and other thermal-based injection elements are given. The theoretical results agree well with experimental observations and the technical possibilities of thermal-based injection elements are discussed.

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Received on 3 May 1999

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aus der Wiesche, S., Hofer, E. On the Stefan-problem in a finite and moveable system. Heat and Mass Transfer 36, 305–311 (2000). https://doi.org/10.1007/s002310000085

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  • DOI: https://doi.org/10.1007/s002310000085

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