Numerical simulation of the transport processes in a heat treatment furnace

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Abstract

The numerical simulation of the heat transfer and fluid processes in a furnace is carried out using finite difference techniques. A heat treatment furnace for the annealing of steel is considered as an example and a mathematical model of the system is obtained by simplifying the equations that govern the transport in the various components that constitute the system. The resulting set of coupled equations then governs the time‐dependent temperature distribution in the furnace. Because of the complexity of the full problem, the transport processes undergone by individual components of the furnace are simulated first, using appropriate boundary conditions that decouple them from the other components. These individual simulations are considered in terms of the underlying physical mechanisms for validation. Finally, these are combined to obtain the simulation of the full, coupled problem. The temperature cycle undergone by the material is computed, along with the time‐dependent temperature distributions in other components. A comparison with experimental data indicates close agreement, lending strong support to the numerical model. The relevance of these results to the design of the overall thermal system is also outlined.

Original language English (US) 387-399 13 International Journal for Numerical Methods in Engineering 25 2 https://doi.org/10.1002/nme.1620250209 Published - Jan 1 1988

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Transport Processes
Heat Treatment
Furnace
Furnaces
Heat treatment
Numerical Simulation
Computer simulation
Temperature Distribution
Temperature distribution
Finite Difference Technique
Coupled Problems
Annealing
Heat Transfer
Numerical models
Steel
Simulation
Experimental Data
Boundary conditions
Mathematical Model
Mathematical models

All Science Journal Classification (ASJC) codes

• Numerical Analysis
• Engineering(all)
• Applied Mathematics

Cite this

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title = "Numerical simulation of the transport processes in a heat treatment furnace",
abstract = "The numerical simulation of the heat transfer and fluid processes in a furnace is carried out using finite difference techniques. A heat treatment furnace for the annealing of steel is considered as an example and a mathematical model of the system is obtained by simplifying the equations that govern the transport in the various components that constitute the system. The resulting set of coupled equations then governs the time‐dependent temperature distribution in the furnace. Because of the complexity of the full problem, the transport processes undergone by individual components of the furnace are simulated first, using appropriate boundary conditions that decouple them from the other components. These individual simulations are considered in terms of the underlying physical mechanisms for validation. Finally, these are combined to obtain the simulation of the full, coupled problem. The temperature cycle undergone by the material is computed, along with the time‐dependent temperature distributions in other components. A comparison with experimental data indicates close agreement, lending strong support to the numerical model. The relevance of these results to the design of the overall thermal system is also outlined.",
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In: International Journal for Numerical Methods in Engineering, Vol. 25, No. 2, 01.01.1988, p. 387-399.

Research output: Contribution to journalArticle

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