Abstract

Numerical Simulation of a Combined Radiation-Conduction Heat Transfer in An Electric Furnace

Highlights

  • Combined radiation and conduction heat transfer takes place in high temperature furnaces to achieve the desired quality of material

  • According to the radiation transfer equation and its boundary conditions, it follows that in order to calculate the radiation intensity distribution; the temperature distribution must be known for all the points on the beam inside the material and at its limits

  • This relationship reflects the fact that the radiated heat is transmitted to the metal by conduction at the boundary

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Summary

INTRODUCTION

Combined radiation and conduction heat transfer takes place in high temperature furnaces to achieve the desired quality of material. The goal of solving the problems of combined radiation and conduction heat transfer is the calculation of the temperature distribution in the volume of the medium and the energy flows at its limits. According to the radiation transfer equation and its boundary conditions, it follows that in order to calculate the radiation intensity distribution; the temperature distribution must be known for all the points on the beam inside the material and at its limits This is how the combination of radiative and conductive heat transfer is mathematically manifested. Because of the lack of accurate radiative properties we limit consideration to gray diffuse surfaces with uniform radiosity This relationship reflects the fact that the radiated heat is transmitted to the metal by conduction at the boundary. HEAT TRANSFER : This step consists in solving numerically for the temperatures, the set of equations (7)

Discretization of the PDE
Numerical analysis of the scheme
Simulation
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