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Determination of heat transfer coefficient using transient temperature response chart

Bestimmung des Wärmeübertragungskoeffizienten mit Verwendung von Aufzeichnungen der transienten Ansprechtemperatur

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Abstract

An inverse finite element computer code is developed to predict surface heat flux and surface temperature in conjunction with the measured thermocouple temperature history. Determination of convective heat-transfer coefficient and combustion gas temperature is carried out employing transient temperature response chart. Examples are illustrated which are typical of those that arise in thermal design of rocket nozzle. The results demonstrate that the method is remarkable in its ability to estimate unknown boundary conditions.

Zusammenfassung

Es wurde ein inverses Finite-Elemente-Computer-Programm entwickelt, um den Oberflächenwärmestrom und die Oberflächentemperatur aus dem mit Thermoelementen gemessenen Temperaturverlauf zu bestimmen. Die Bestimmung des konvektiven Wärmeübertragungskoeffizienten und der Verbrennungsgastemperatur ist mit Verwendung von Aufzeichnungen der transienten Ansprechtemperatur ausgeführt worden.

Für die thermische Auslegung von Raketendüsen werden einige Beispiele dargestellt. Die Ergebnisse beweisen, daß dieses Verfahren bemerkenswerte Fähigkeiten besitzt, um unbekannte Randbedingungen annähernd zu berechnen.

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Abbreviations

Bi :

Biot number,h L/k

c :

heat capacity of the material

Fo :

Fourier number,αt/L 2

h :

convective heat-transfer coefficient

k :

thermal conductivity

L :

thickness of material

q w :

surface heat flux

r :

number of future temperature

S :

least square function

T o :

initial temperature

T g :

combustion gas temperature

T s :

surface temperature

T :

nodal temperature

t :

time

x :

abscissa

Y :

thermocouple data

θ :

dimensionless temperature, (T g−Ts)/(T g−T0)

φ :

finite element function

Δt :

time step

α :

thermal diffusivity

ϱ :

density

M :

present time step

i :

interation step index

k :

time step index

T :

transpose of matrix

References

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Authors and Affiliations

  1. Vikram Sarabhai Space Centre, 695022, Trivandrum, India

    R. C. Mehta & T. Jayachandran

Authors
  1. R. C. Mehta
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  2. T. Jayachandran
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Mehta, R.C., Jayachandran, T. Determination of heat transfer coefficient using transient temperature response chart. Wärme- und Stoffübertragung 26, 1–5 (1991). https://doi.org/10.1007/BF01589897

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  • DOI: https://doi.org/10.1007/BF01589897

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