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Simulation of electric resistance furnace operation by means of numerical modelling

Simulation der Wärmeprozesse in Widerstandsöfen mittels eines numerischen Modells-Möglichkeiten und Grenzen

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A method of analysing thermal processes in electric resistance furnace, using the numerical technique and the one-dimensional, multidirectional, nonlinear model is presented. The way of calculation is shown on examples of real industrial furnaces. The analysis of heating-up with constant power and with constant temperatur speed are shown. The examination of model imperfection is carried out, including one-dimension representation, time and space discretization, non-constancy of thermophysical parameters and the effect of ambience. Practical aspects of method application are metioned.

Übersicht

Die dargestellte Methode zur Analyse der Wärmeprozesse in Widerstandsöfen umfaßt die numerische Behandlung und das eindimensionale nichtlineare Mehrwegmodell. Die Berechnung wird am Beispiel realer Industrieöfen erklärt. Eine Analyse der Anheizung mit konstanter Leistung und mit konstanter Temperaturgeschwindigkeit wird durchgeführt. Die Fehlerquellen des Modells werden quantitativ untersucht, und zwar die eindimensionale Darstellung, Zeit- und Raumdiskretisation, nichtkonstante Wärmeparameter und der Einfluß der Umgebung. Praktische Ausblicke der Methodenanwendung werden erwähnt.

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Abbreviations

B :

speed of temperature rising

c :

specific heat

C c :

radiation constant of the black body

d :

thickness

E :

energy

G :

conductance

J :

node point

m :

mass

P :

power

S :

surface

T :

absolute temperature, temperature

TN :

new temperature

t :

time

x :

space coordinate

α:

overall heat transfer coefficient

ε:

emissivity

λ:

thermal conductivity

ϱ:

mass density

θ:

temperature

ψ:

aperature factor

ak :

accumulated

a :

outer, ambient

c :

convection

g :

loss

gr :

heater

i, j :

order numbers

n :

normal

otv :

opening

p :

floor, surface

r :

radiation

rad:

radiation through openings

s :

charge, overall

sp :

surface

sr :

average

st :

steady state

u :

inner

z :

wall

zad:

reference

References

  1. Pralas, J.: Analysis of thermal processes in batch-type industrial electric furnaces. Diss. Titograd 1983 (in Serbo-Croation)

  2. Pralas, J.; Kalié, Dj.: Numerische Analyse der Wärmeprozesse in elektrischen widerstandsbeheizten Standöfen mittles eindimensionalen nichtlinearen Mehrwegmodells. Ref. Nr. 3.2.12, X. Internationaler Elektrowärme-Kongreß. Stockholm 1984

  3. Test methods for batch furnaces with metallic heating resistors. IEC Publ. 397, 1972

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Authors and Affiliations

  1. Elektrotehnički fakultet Cetinjski put b.b., Titograd, Yugoslavia

    J. Pralas

  2. Elektrotehnički institut “Nikola Tesla”, Viktora Igoa 3, Beograd, Yugoslavia

    D. Kalié

Authors
  1. J. Pralas
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  2. D. Kalié
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Pralas, J., Kalié, D. Simulation of electric resistance furnace operation by means of numerical modelling. Archiv f. Elektrotechnik 70, 425–432 (1987). https://doi.org/10.1007/BF01574010

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  • DOI: https://doi.org/10.1007/BF01574010

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