Mixed hybrid finite element scheme for Stefan problem with prescribed convection.
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Ignatieva, M. A., Lapin, A. V. (2003)
Lobachevskii Journal of Mathematics
Robert Straka, Jindřich Makovička (2007)
Kybernetika
We describe behavior of the air-coal mixture using the Navier–Stokes equations for gas and particle phases, accompanied by a turbulence model. The undergoing chemical reactions are described by the Arrhenian kinetics (reaction rate proportional to where is temperature). We also consider the heat transfer via conduction and radiation. Moreover we use improved turbulence-chemistry interactions for reaction terms. The system of PDEs is discretized using the finite volume method (FVM) and an advection...
Jaroslav Mlýnek, Roman Knobloch (2018)
Applications of Mathematics
This article focuses on heat radiation intensity optimization on the surface of a shell metal mould. Such moulds are used in the automotive industry in the artificial leather production (the artificial leather is used, e.g., on car dashboards). The mould is heated by infrared heaters. After the required temperature is attained, the inner mould surface is sprinkled with special PVC powder. The powder melts and after cooling down it forms the artificial leather. A homogeneous temperature field of...
Iliev, Iliycho Petkov, Gocheva-Ilieva, Snezhana Georgieva, Temelkov, Krassimir Angelov, Vuchkov, Nikolay Kirilov, Sabotinov, Nikola Vassilev (2009)
Mathematical Problems in Engineering
Federico M. Vegni (2001)
Bollettino dell'Unione Matematica Italiana
Nield, D.A. (2000)
Journal of Applied Mathematics and Decision Sciences
M.ª Isabel Asensio, Luis Ferragut, Jacques Simon (2002)
RACSAM
We present a model coupling the fire propagation equations in a bidimensional domain representing the surface, and the air movement equations in a three dimensional domain representing an air layer. As the air layer thickness is small compared with its length, an asymptotic analysis gives a three dimensional convective model governed by a bidimensional equation verified by a stream function. We also present the numerical simulations of these equations.
Sanyal, Dipayan, Rao, P.Ramachandra, Gupta, O.P. (2005)
Mathematical Problems in Engineering
Franců, Jan (1998)
Abstract and Applied Analysis
Fife, Paul C. (2000)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Р.Ф. Бикбаев (1994)
Zapiski naucnych seminarov POMI
C.V. Pao (1985)
Numerische Mathematik
Hitoshi Imai, Naoyuki Ishimura, Takeo Ushijima (1999)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Hitoshi Imai, Naoyuki Ishimura, TaKeo Ushijima (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Modern physics theories claim that the dynamics of interfaces between the two-phase is described by the evolution equations involving the curvature and various kinematic energies. We consider the motion of spiral-shaped polygonal curves by its crystalline curvature, which deserves a mathematical model of real crystals. Exploiting the comparison principle, we show the local existence and uniqueness of the solution.
William B. Dunbar, Nicolas Petit, Pierre Rouchon, Philippe Martin (2003)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper we consider a free boundary problem for a nonlinear parabolic partial differential equation. In particular, we are concerned with the inverse problem, which means we know the behavior of the free boundary a priori and would like a solution, e.g. a convergent series, in order to determine what the trajectories of the system should be for steady-state to steady-state boundary control. In this paper we combine two issues: the free boundary (Stefan) problem with a quadratic nonlinearity....
William B. Dunbar, Nicolas Petit, Pierre Rouchon, Philippe Martin (2010)
ESAIM: Control, Optimisation and Calculus of Variations
In this paper we consider a free boundary problem for a nonlinear parabolic partial differential equation. In particular, we are concerned with the inverse problem, which means we know the behavior of the free boundary a priori and would like a solution, e.g. a convergent series, in order to determine what the trajectories of the system should be for steady-state to steady-state boundary control. In this paper we combine two issues: the free boundary (Stefan) problem with a quadratic nonlinearity....
Roberty, Nilson C., Rainha, Marcelo L.S. (2010)
Mathematical Problems in Engineering
Talya, Shashishekara S., Rajadas, J.N., Chattopadhyay, A. (1999)
Mathematical Problems in Engineering
Trudy Matematiceskogo Centra Imeni N. I. Lobacevskogo
Bayón Arnáu, L., Suárez Rodríguez, P. (2000)
Mathematical Problems in Engineering
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