Volume 121, Number 5, March 2018
|Number of page(s)||7|
|Published online||09 May 2018|
Nonlinear dynamics analysis of a low-temperature-differential kinematic Stirling heat engine
Department of Complex Systems Science, Graduate School of Informatics, Nagoya University Nagoya 464-8601, Japan
Received: 11 January 2018
Accepted: 9 April 2018
The low-temperature-differential (LTD) Stirling heat engine technology constitutes one of the important sustainable energy technologies. The basic question of how the rotational motion of the LTD Stirling heat engine is maintained or lost based on the temperature difference is thus a practically and physically important problem that needs to be clearly understood. Here, we approach this problem by proposing and investigating a minimal nonlinear dynamic model of an LTD kinematic Stirling heat engine. Our model is described as a driven nonlinear pendulum where the motive force is the temperature difference. The rotational state and the stationary state of the engine are described as a stable limit cycle and a stable fixed point of the dynamical equations, respectively. These two states coexist under a sufficient temperature difference, whereas the stable limit cycle does not exist under a temperature difference that is too small. Using a nonlinear bifurcation analysis, we show that the disappearance of the stable limit cycle occurs via a homoclinic bifurcation, with the temperature difference being the bifurcation parameter.
PACS: 05.45.-a – Nonlinear dynamics and chaos / 05.70.Ln – Nonequilibrium and irreversible thermodynamics
© EPLA, 2018
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