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- W2783503127 abstract "In this work we will apply the three-dimensional mathematical modelling of fluid flow and heat transfer inside the furnaces based on the cylindrical coordinate system to describe the behavior of the transport phenomena. This modelling is constructed by using the mass, momentum, and energy conservation laws to achieve the continuity equation, the Navier-Stokes equations, and the energy conservation equation. Due to the moving boundary between the solid and melted materials inside of the furnaces we will impose the Stefan condition to describe the behavior of the free boundary between two phases. We will derive the variational formulation of the system of transport phenomena, then we will discrete the domain to complete the finite element method stages and we will obtain the system of nonlinear equations in 256 equations in 256 unknowns. To get the numerical solution of the large-scale system we will prepare a convenient mathematical work and gain some diagrams where they would be applicable in the design process of the furnaces shapes." @default.
- W2783503127 created "2018-01-26" @default.
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- W2783503127 date "2018-01-01" @default.
- W2783503127 modified "2023-10-10" @default.
- W2783503127 title "Numerical Analysis of Fluid Flow and Heat Transfer Based on the Cylindrical Coordinate System" @default.
- W2783503127 doi "https://doi.org/10.11648/j.fm.20180401.11" @default.
- W2783503127 hasPublicationYear "2018" @default.
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