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TECHNICAL PAPERS

Thermal Control in Solids With Rapid Relaxation

[+] Author and Article Information
D. Y. Tzou

Department of Mechanical and Aerospace Engineering, University of Missouri-Columbia, Columbia, MO 65211

J. Dyn. Sys., Meas., Control 125(4), 563-568 (Jan 29, 2004) (6 pages) doi:10.1115/1.1636196 History: Received July 06, 2000; Revised April 22, 2003; Online January 29, 2004
Copyright © 2003 by ASME
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References

Tzou, D. Y., 1997, Macro- to Microscale Heat Transfer: The Lagging Behavior, Taylor & Francis, Washington, D.C.
Tzou, D. Y., 1992, “Thermal Shock Phenomena Under High-Rate Response in Solids,” in Annual Review of Heat Transfer, Chapter 3, pp. 111–185, Tien, C. L. ed., Hemisphere, Washington, D.C.
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Figures

Grahic Jump Location
Proportional heating applied at the surface of a semi-infinite solid for the temperature control of Tl≤Tc.
Grahic Jump Location
Temperatures at the controlled location (θ1) at various heating rates. The case of Fourier Diffusion with Γ=0.
Grahic Jump Location
Temperatures at the controlled location (θ1) at various heating rates. Thermal wave model with Γ=0.01.
Grahic Jump Location
Temperatures at the controlled location (θ1) at various heating rates. Thermal wave model with Γ=0.1.
Grahic Jump Location
Envelope of neutral stability separating the stable from the unstable regimes.
Grahic Jump Location
Temperature distributions at five instants of time. Thermal wave model with Γ=0.01 and C=20.
Grahic Jump Location
Heat-flux distributions at five instants of time. Thermal wave model with Γ=0.01 and C=20.
Grahic Jump Location
Unstable oscillations of temperature: Case (a) Γ=0 and C=36 (Fourier diffusion), (b) Γ=0.01 and C=29, (c) Γ=0.05 and C=16, and (d) Γ=0.1 and C=10.
Grahic Jump Location
Destabilizing effect of time delays in proportional control.

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