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The Dependence of Temperature Profiles in Ice Sheets on Longitudinal Variations in Velocity and Surface Temperature

  • A. S. Jones (a1)

Abstract

Formulae for calculating temperature profiles in steady-state ice sheets are derived in terms of the horizontal and vertical velocities of the surface ice, and of the variation in surface temperature along the flow lines. Two models are considered: parallel flow and radial flow. In each case the result consists of a “stationary” term (equivalent to Robin's equation), a term dependent on the horizontal velocity, and a term arising from the temperature variations. This last term produces reversals in the temperature field such as are measured in practice.

Résumé

Des formules pour le calcul des profils de températures dans des calottes glaciaires en etat d’equilibre sont etablies en fonction des vitesses verticales et horizontales de la glace de surface et des variations de la température de surface le long des lignes de courant. Deux modeles sont consideres: l’ecoulement parallele et l’ecoulement radial. Dans chaque cas, le résultat se compose d'un terme "stationnaire"(équivalent á l'equation de Robin), d’un terme deduit des variations de températures. Ce dernier terme provoque des inversions dans le champ des températures telles que celles que l’on measure dans la pratique.

Zusammenfassung

Für die Berechnung von Temperaturprofilen in stationären Eisdecken aus der horizontalen und vertikalen Geschwindigkeit der Eisoberflâche und aus der Temperaturverteilung entlang der Stromlinien werden Formeln hergeleitet. Zwei Modelle werden betrachtet : parallers und radiales Fliessen. In beiden Fallen besteht das Ergebnis aus einem “stationären” Term (gleichwertig mit Robins Gleichung), einem Term, der von der Horizontalgeschwindigkeit abhangt und einem Term fur die Temperatureverteilung. Der letzte bewirkt eine Umkehr im Temperaturfeld, wie sie in der Praxis beobachtet wurde.

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References

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The Dependence of Temperature Profiles in Ice Sheets on Longitudinal Variations in Velocity and Surface Temperature

  • A. S. Jones (a1)

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