A closed-form solution was derived for the transient thermal fields developed in thick-walled vessels subjected to a plausible exponential heating on the internal surface with convection to the surrounding external environment. The resulting series representation of the temperature distribution as a function of time and radial position was then used to derive new relationships for the transient thermoelastic stress states. The derived expressions allow an easy analysis of the significance of the exponential terms and convective coefficient in determining the magnitudes and distribution of the resulting stress states over time. Excellent agreement was seen between the derived temperature and stress relationships and a finite element analysis when the thermophysical and thermoelastic properties were assumed to be independent of temperature.

Issue Section:
Technical Papers
Keywords:
pipe flow, thermoelasticity, load distribution, pressure vessels, temperature distribution
Topics:
Convection, Stress, Temperature, Temperature distribution, Thermoelasticity, Transients (Dynamics), Vessels, Heating, Finite element analysis, Cylinders, Pressure vessels
1.
Nied
,
H. F.
, and
Erogan
,
F.
,
1983
, “
Transient Thermal Stress Problem for a Circumferentially Cracked Hollow Cylinder
,”
J. Thermal Stresses
,
6
, p.
1
1
.
2.
Pisarenko, G. S., Gogotsi, G. A., and Grusheuskii, Y. L., 1978, “A Method of Investigating Refractory Nonmetallic Materials in Linear Thermal Loading,” Problemy Prochnosti, No. 4, p. 36.
3.
Segall
,
A. E.
,
Hellmann
,
J. R.
, and
Modest
,
M. F.
,
1991
, “
Analysis of Gas-Fired Ceramic Radiant Tubes During Transient Heating
,”
J. Test. Eval.
,
19
, p.
454
454
.
4.
A. E. Segall, J. R. Hellmann, and R. E. Tressler, 1993, “Thermal Shock and Fatigue Behavior of Ceramic Tubes,” Proc., 10th Biennial ASME Conference on Reliability, Stress Analysis, and Failure Prevention, New Mexico, p. 81.
5.
Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat in Solids, Oxford University Press, Great Britain.
6.
Vedula
,
V. R.
,
Segall
,
A. E.
, and
Rangarazan
,
S. K.
,
1998
, “
Transient Analysis of Internally Heated Tubular Components with Exponential Thermal Loading and External Convection
,”
Int. J. Heat Mass Transf.
,
41
, No.
22
, pp.
3675
–
3678
.
7.
Fodor, G. 1965, Laplace Transforms in Engineering, Akademiai Kiado, Budapest, Hungary.
8.
Fridman, Y. B., 1964, Strength and Deformation in Nonuniform Temperature Fields, Consultants Bureau.
Copyright © 2001
 by ASME
You do not currently have access to this content.