1753
0195-928X/03/1100-1753/0 © 2003 Plenum Publishing Corporation
International Journal of Thermophysics, Vol. 24, No. 6, November 2003 (© 2003)
Transient Behavior of a Thermoelectric Device under
the Hyperbolic Heat Conduction Model
M. Alata,
1
M. A. Al-Nimr,
1, 2
and M. Naji
1
1
Mechanical Engineering Department, Jordan University of Science and Technology (JUST),
P.O. Box 3030, Irbid 22110, Jordan.
2
To whom correspondence should be addressed. E-mail: malnimr@just.edu.jo
Received March 1, 2003
The major objective of this work is to describe the dynamic thermal behavior of
thermoelectric generators and refrigerators under the effect of the hyperbolic
heat conduction model. In practical situations, these devices work under tran-
sient operating conditions due to the time change in the imposed current,
voltage, and hot or cold temperatures. Results for transient temperature distri-
butions were obtained for different parameters. The coefficient of performance
was obtained as a function of time for increasing current flow.
KEY WORDS: dynamic behavior of heat pump; electrical generator and
regenerator; hyperbolic heat conduction model; thermoelectric system.
1. INTRODUCTION
The basic theory of thermoelectric generators and refrigerators was derived
satisfactorily in 1909 and 1911 by Altenkrich [1, 2]. His work indicated
that for both applications materials were needed with high Seebeck coeffi-
cients to minimize Joule heating and low thermal conductivities to reduce
heat transfer through the devices. Altenkirch [1, 2] enumerated the desir-
able properties for materials to be used in thermoelectric devices. In the
literature, numerous studies have been conducted to investigate the thermal
behavior of thermoelectric devices under steady-state conditions [3–11].
However, the behavior of these devices under transient operating condi-
tions has not yet been investigated.
A study of the transient thermal behavior of the thermoelectric device
rather than the steady-state behavior is very important for two reasons: