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Experimental Mechanics

, Volume 8, Issue 6, pp 272–277 | Cite as

Transient strain and temperature distributions in long circular cylinders cooled by emission of thermal radiation

Paper reports on the determination of transient strain and temperature distributions produced by the cooling of a long, solid circular cylinder due to emission of thermal radiation from its surface
  • W. W. Wildin
  • R. S. Pritchard
Article

Abstract

This paper describes techniques used to experimentally and analytically determine temperature and strain distributions produced by radiative cooling of long circular cyclinders. Analytical results were obtained by finite-difference techniques. The low-level dynamic thermal strains, measured by means of embedded strain gages, agreed with the predicted values within acceptable limits. Results are presented for the highest strain level and the highest temperature for which the properties of the model were known.

Keywords

Radiation Mechanical Engineer Temperature Distribution Fluid Dynamics High Strain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of Symbols

ϕ

T/Tidimensionless temperature

ξ

r/a=dimensionless radius

r

kt/ρca2dimensionless time

NR

εσαTi3/k dimensionless parameter, constant

T

absolute temperature

Ti

initial absolute temperature

r

radial position

a

outer radius

t

time

k

thermal conductivity

ρ

density

c

specific heat

σ

Stefan-Boltzmann constant

ε

total hemispherical emittance

Σj

[(1 -v j ]/ αTiE,j =z, r, θdimensionless stress

σj,j

z, r, θ=stress

ν

Poisson's ratio

E

Young's modulus

α

coefficient of thermal expansion

Ej

ejαTi, j=z, r, θ=strain ratio

ejj

z, r, θ=mechanical strain

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Rerefences

  1. 1.
    Wildin, M. W., andPutman, W. E., “Temperature Distribution and Thermal Stresses in Radiation-Cooled Cylinders,”Technical Report ME-7, Bureau of Engineering Research, the University of New Mexico, Albuquerque, N. M. (August1963).Google Scholar
  2. 2.
    Putman, W. E., Pritchard, R. S., andWildin, M. W., “Temperature and Stress Distributions in Circular Cylinders,”Technical Report ME-11, Bureau of Engineering Research, the University of New Mexico, Albuquerque, N. M. (August1964).Google Scholar
  3. 3.
    Heap, J. C., “Thermal Stresses in Concentrically Heated Hollow Cylinders,”Argonne National Laboratory, Argonne, Ill., ANL-6224 (October1960).Google Scholar
  4. 4.
    Baker, W. E., andDove, R. C., “Measurement of Internal Strains in a Bar Subjected to Longitudinal Impact,”Experimental Mechanics,2 (10),307–311 (October1962).CrossRefGoogle Scholar
  5. 5.
    Pritchard, R. S., andWildin, M. W., “Final Report on Temperature and Stress Distributions Produced in Long Circular Cylinders Cooled by Emission of Thermal Radiation,”Technical Report ME-19, Bureau of Engineering Research, the University of New Mexico, Albuquerque, N. M. (November1965).Google Scholar
  6. 6.
    Dove, R. C., Brasier, R. I., andBaker, W. E., “Selection of Gages for Strain Measurement at Interior Points,”Experimental Mechanics,2 (6),189–190 (June1962).CrossRefGoogle Scholar
  7. 7.
    Dove, R. C., andAdams, P. H., “Experimental Stress Analysis and Motion Measurement,”Charles E. Merrill Books, Inc., Columbus, Ohio (1964).Google Scholar
  8. 8.
    Richtmyer, R. D., “Difference Methods for Initial Value Problems,”Interscience Tracts in Pure and Applied Mathematics,4,Interscience Publishers,New York (1957).Google Scholar

Copyright information

© Society for Experimental Mechanics, Inc. 1968

Authors and Affiliations

  • W. W. Wildin
    • 1
  • R. S. Pritchard
    • 1
  1. 1.Mechanical Engineering DepartmentUniversity of New MexicoAlbuquerque

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