Mass transport phenomena during solidification in microgravity; preliminary results of the first Mephisto flight experiment

The intrinsic effect of the thermoelectric power on classical morphological stability theory

“…Along a perturbed interface the temperature varies according to the Gibbs-Thomson equation. As has been discussed in the Introduction and elsewhere [7,8], during freezing, a non-isothermal interface generates a local current if the thermoelectric powers are different in adjacent phases. This current has components normal to and tangential to the interface.…”

“…It is noted that calculation of the circulation ofĨ=s ¼ Àrf À ZrT along a contour that includes the crystal-melt interface [7] leads to the following interface condition as shown by Shercliff [10] in two dimensions:…”

“…A dimensionless 'current density potential' O i is deduced from a modified version of Ohm's Law [7,9]. The current density is a function of the gradient of the dimensionless electrochemical potential of the conduction electrons,rf ðf ¼ ðf 0 À f 0 Þ= ðI 0 R Ã =s L ÞÞ, with f 0 and f 0 measured in volts and f 0 is constant), dimensionless absolute thermoelectric power N i and dimensionless temperature such that…”

“…Due to the Peltier effect (see Refs. [7,8] and references therein), regions along the interface either become heat sinks (e.g. perturbation valleys) or heat sources (e.g.…”

Morphological stability of a solid–liquid interface and cellular growth: Insights from thermoelectric measurements in microgravity experiments

“…The value of the signal was derived for the case of a square wave front [24]; later on [25], conformal mapping was used to show that more general front shape equations could be fitted to the initial frame. For our present purposes, the Seebeck signal can be interpreted as…”