Nonuniqueness in Steady-State Heat Transfer in Prestressed Duplex Tubes—Analysis and Case History

Abstract

More than one steady-state solution is shown to exist for the problem of steady-state heat transfer across the walls of a duplex tube when the initial prestress between the inner and outer tubes is sufficiently low. This determination was used in explaining the apparently erratic heat-transfer performance of prestressed duplex tubes in the steam generating system of the Experimental Breeder Reactor II. The importance of the results lies not only in showing that nonuniqueness of steady-state solution applies to more complex geometries than heretofore analyzed, but also in demonstrating that such multiple steady-state conditions appear in practical situations.

Numerical Solution of a Thermoviscoelastic Contact Problem by a Penalty Method

“…The papers [2] and [13] provide examples of early studies of this problem in the engineering literature. Long-time behavior issues are tackled in [12].…”

Interaction of thermal contact resistance and frictional heating in thermoelastic instability

“…This can cause instability and erratic behaviour in heat International Journal of Solids and Structures 40 (2003) [5583][5584][5585][5586][5587][5588][5589][5590][5591][5592][5593][5594][5595][5596][5597] www.elsevier.com/locate/ijsolstr exchanger systems involving contacting interfaces (Srinivasan and France, 1985). Instability occurs when the temperature difference or the heat flux between the contacting bodies exceeds a certain critical value (Yeo and Barber, 1994).…”

Numerical approximation and error control for a thermoelastic contact problem

“…For instance, Srinivasan and France [12] studied the performance of heat exchangers and their erratic heat transfer behavior. Barber [2] looked at applications in metal forming and analyzed the stability of certain states.…”