Article citationsMore>>

Chagas, P., Souza, R. (2005) Solution of Saint Venant’s Equation to Study Flood in Rivers, through Numerical Methods. Proceedings of the 2005 Annual AGU Hydrology Days, Colorado, 7-9 March 2005, 205-210.

has been cited by the following article:

• TITLE: Numerical Simulation of the Flow of a Molten Blast Furnace Slag in an Open Channel

  AUTHORS: Miguel A. Barron, Joan Reyes, Aristeo Garrido

  KEYWORDS: Blast Furnace Slag, Molten Slag, Open Channel Flow, Saint-Venant Equations, Supercritical Flow, Transcritical Flow

  JOURNAL NAME: World Journal of Engineering and Technology, Vol.12 No.4, November 1, 2024

  ABSTRACT: Despite its industrial importance, the flow of molten blast furnace slag in open channels has not been sufficiently studied. In this work, the unsteady non-uniform flow of a molten blast furnace slag in a rectangular open channel is numerically studied by solving the Saint-Venant equations by means of an explicit backwards finite difference scheme. An Arrhenius-type dependence of the viscosity of the slag on temperature is assumed. To calculate that viscosity, four temperatures are considered, namely 1450˚C, 1500˚C, 1550˚C and 1600˚C. To study the dynamic response of the system, a half-sinusoidal pulse with duration of 5 s is imposed at the channel entrance. According to the numerical simulations, for all the temperatures considered, the slag flow in the channel for an angle of 5 degrees is supercritical in nature. However, for an angle of 1 degree, the flow is transcritical, that is, it presents a transition from subcritical to supercritical.