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Design Charts for Transient Temperature and Thermal Stress Distributions in Thermally Thick Plates

Published online by Cambridge University Press:  07 June 2016

J. S. Przemieniecki
J. S. Przemieniecki*
Affiliation:
Bristol Aircraft Limited
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Summary

A set of design charts is presented for the calculation of transient temperature and thermal stress distributions in thermally thick plates subjected to aerodynamic heating.

The method is particularly useful for determining temperatures and thermal stresses in plates with an arbitrary variation of the heat transfer coefficient and the adiabatic wall temperature of the boundary layer. The present method is based on repetitive applications of the exact analytical solution to a unit triangular variation of the adiabatic wall temperature and a constant heat transfer coefficient. The actual variation of the adiabatic wall temperature is represented as a series of straight lines while the heat transfer coefficient is approximated by a step function. The temperature distribution through the plate is separated into linear and “self-equilibrating” temperature distributions to facilitate thermal stress calculations; these distributions can be obtained directly from the design charts presented in this paper.

The general principle of this semi-numerical method is also applied to thermally thin plates subjected to arbitrary heating conditions.

Type
Research Article
Information
Aeronautical Quarterly , Volume 11 , Issue 3 , August 1960 , pp. 269 - 284
Copyright
Copyright © Royal Aeronautical Society. 1960

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References

1. Przemieniecki, J. S. Design of Transparencies. Journal of the Royal Aeronautical Society, Vol. 63, pp. 620–636, November 1959.Google Scholar
2. Kaye, J. and Yeh, V. C. M. Design Charts for Transient Temperature Distributions Resulting from Aerodynamic Heating at Supersonic Speeds. Journal of the Aeronautical Sciences, Vol. 22, pp. 755–762, 786, November 1955.Google Scholar
3. Chen, S. Y. Transient Temperature and Thermal Stresses in Skin of Hypersonic Vehicle with Variable Boundary Conditions. Trans. A.S.M.E., Vol. 80, No. 7, pp. 1389–1394, October 1958.Google Scholar
4. Hill, P. R. A Method of Computing the Transient Temperature of Thick Walls from Arbitrary Variation of Adiabatic Wall Temperature and Heat Transfer Coefficient, N.A.C.A. T.N. 4105, October 1957.Google Scholar
5. Carslaw, H. S. and Jaeger, J. C. Heat Conduction in Solids. Oxford University Press, pp. 377 and 380-381, 1947.Google Scholar
6. Heisler, M. P. Transient Thermal Stresses in Slabs and Circular Pressure Vessels. Journal of Applied Mechanics, Vol. 20, pp. 261–269, June 1953.Google Scholar