Optimisation of a model external combustion engine with linear phenomenological heat transfer law

Authors: Song, H. J.1; Chen, L. G.2; Sun, F. R.1

Source: Journal of the Energy Institute, Volume 82, Number 3, September 2009 , pp. 180-183(4)

Publisher: Maney Publishing

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Abstract:

The optimal motion of a model external combustion engine with a piston fitted inside a cylinder containing an ideal gas is examined. The gas is heated at a given rate f(t) and coupled to a heat bath with linear phenomenological heat transfer law q∝Δ(T –1) for a finite amount of time. The optimal motion of the model external combustion engine with maximum power output objective is comprised of fully cyclic operation and semicyclic operation. The maximum work output per cycle and the corresponding efficiency are obtained respectively. Furthermore, the finite optimal compression ratio of such engine with special working condition is obtained. Numerical examples are provided, and the obtained results are compared with those obtained with Newton's heat transfer law. The results presented herein can provide the basis for both determination of optimal operating conditions and design of real systems operating with the linear phenomenological heat transfer law.

Keywords: MAXIMUM POWER OUTPUT; FINITE TIME THERMODYNAMICS; EXTERNAL COMBUSTION ENGINE; LINEAR PHENOMENOLOGICAL HEAT TRANSFER LAW; MAXIMUM WORK OUTPUT; GENERALISED THERMODYNAMIC OPTIMISATION

Document Type: Research Article

DOI: http://dx.doi.org/10.1179/014426009X12448168550226

Affiliations: 1: Postgraduate School, Naval University of Engineering, Wuhan 430033, China 2: Postgraduate School, Naval University of Engineering, Wuhan 430033, China;, Email: lgchenna@yahoo.com

Publication date: 2009-09-01

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