Abstract
The Navier-Stokes equations describing the motion of viscous incompressible liquid are solved, by imposing conditions approximately satisfied in the motion of real melts. The solution is the Bernoulli equation, which is well known in hydrodynamics. Analysis of the conditions imposed on the Navier-Stokes equations permits assessment of the applicability of the Bernoulli equation to the design of casting systems.
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Landau, L.D. and Lifshitz, E.M., Theoretical Physics, Vol. 6: Fluid Mechanics, Burlington, Mass.: Butterworth-Heinemann, 1987.
Dubitskii, G.M., Litnikovye sistemy (Casting Systems), Moscow: Mashgiz, 1962.
Rabinovich, B.V., Predmet i zadachi gidravliki rasplavov. Gidrodinamika rasplavlennykh rasplavov (Melt Hydraulics: Melt Hydrodynamics), Moscow: AN UkrSSR, 1958.
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Original Russian Text © V.B. Golubev, I.V. Kasymova, 2014, published in “Izvestiya VUZ. Chernaya Metallurgiya,” 2014, No. 10, pp. 22–24.
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Golubev, V.B., Kasymova, I.V. Melt motion in casting-mold channels. Steel Transl. 44, 712–714 (2014). https://doi.org/10.3103/S0967091214100052
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DOI: https://doi.org/10.3103/S0967091214100052