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: LINEAR PHENOMENOLOGICAL HEAT TRANSFER LAW; MAXIMUM POWER OUTPUT; MAXIMUM WORK OUTPUT; EXTERNAL COMBUSTION ENGINE; FINITE TIME THERMODYNAMICS; GENERALISED THERMODYNAMIC OPTIMISATION
Document Type: Research article
DOI: 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
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