有限时间热力学: 优化活塞行动改进的发动机性能-毕业论文外文翻译.doc
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1、附录A 外文翻译原文1外文翻译原文 Engine performance improved by optimized piston motion(Otto cycle/optimized heat engines/optimal control)ABSTRACT The methods of finite-time thermodynamics are used to find the optimal time path of an Otto cycle with friction and heat leakage. Optimality is defined by maximum power
2、-is obtained. The result is an improvement of a conventional near-sinusoidal engine. Finite-time thermodynamics is an extension of conventional thermodynamics relevant in principle across the entire span of the subject. From the most abstract level to the most applied. The approach is based on the c
3、onstruction of generalized thermodynamic potentials for processes containing time or rate conditions among the constraints on the system and on the determination of optimal paths that yield the extrema corresponding to those generalized potentials. Heretofore,work on finite-time thermodynamics has c
4、oncentrated on rather idealized models and on existence theorems, all on the abstract side of the subject. This work is intended as a step connecting the abstract thermodynamic concepts that have emerged in finite-time thermodynamics with the practical, engineering side of the subject, the design pr
5、inciples of a real machine.In this report, we treat a model of the internal combustion engine closely related to the ideal Otto cycle but with rate constraints in the form ofthe two major losses found in real engines. We optimize the engine by”controlling”the time dependence of the volume-that is, t
6、he piston motion. As a result, without undertaking a detailed engineering study, we are able to understand how the losses are affected by the time path of the piston and to estimate the improvement in efficiency obtainable by optimizing the piston motion. THE MODELOur model is based on the standard
7、four-stroke Otto cycle. This consists of an intake stroke, a compression stroke, a power stroke, and an exhaust stroke. Here we briefly describe the basic features of this model and the method used to find the optimal piston motion. A detailed presentation will be given elsewhere. We assume that the
8、 compression ratio, fuel-to-air ratio, fuel consumption, and period of the cycle all are fixed. These constraints serve two purposes. First, they guarantee that the performance criteria not considered in this analysis are comparable to those for a real engine. Relaxing any of these constraints can o
9、nly improve the performance further.We take the losses to be heat leakage and friction. Both of these are rate dependent and thus affect the time response of the system. The heat leak is assumed to be proportional to the instantaneous surface of the cylinder and to the temperature difference is larg
10、e only on the power stroke, heat loss is included only on this stroke. The friction force is taken to be proportional to the piston velocity, corresponding to well-lubricated metal-on-metal sliding; thus, the frictional losses are directly related, to the square of the velocity. There losses are not
11、 the same for all strokes. The high pressures in the power stroke make its friction coefficient higher than in the other strokes. The intake stroke has a contribution due to viscous flow through the valve.The function we have optimized is the maximum work per cycle. Because both fuel consumption and
12、 cycle time are fixed, this also is equivalent to maximizing both efficiency and the average power.In finding the optimal piston motion, we first separated the power and nonpower strokes. An unspecified but fixed time was allotted to the power stroke with the remainder of the cycle time given to the
13、 nonpower strokes. Both portions of the cycle were optimized with this time constraint and were then combined to find the total work per cycle. The duration of the power stroke was then varied and the process was repeated until the net work was a maximum.The optimal piston for the nonpower strokes t
14、akes a simple form. Because of the quadratic velocity dependence of the friction losses, the optimum motion holds the velocity constant during most of each stroke. At the ends of the stroke, the piston accelerates and decelerates at the maximum allowed rate. Because the friction losses are higher on
15、 the intake stroke, the optimal solution allots more time to this stroke than to the other two. The piston velocity as function of time is shown in Fig.1.The power stroke was more difficult to optimize because of the presence of the heat leak.The asymmetric shape of the piston motion on the power st
16、roke arises from the trade-off between friction and heat leak losses. At the beginning of the stroke the gases are hot, capable of yielding high efficiency, and the rate of heat loss is high. It is therefore advantageous to make the velocity high on this part of the stroke. As work is extracted, the
17、 gases cool and the rate of heat leakage diminishes relative to frictional losses. Consequently the optimal path moves to lower velocities as the power stroke proceeds.The solutions were obtained first with unlimited acceleration and then with limits on acceleration and deceleration. The latter situ
18、ation yields a result familiar in other contexts under the name of “turnpike”solution. The system tries to operate as long as possible at its optimal forward and backward velocities, by accelerating and decelerating between these velocities at the maximum rates. In this way, the system spends as muc
19、h time as possible along its best or turnpike path.RESULTSParameters for the computations were taken from ref. 10 or, in the case of the friction coefficient, adjusted to give fictional losses of the magnitude cites in ref. 10. Those parameters are given in Table 1. The results of the calculations o
20、f some typical cases are given in Table 2, where they are compared with the conventional Otto cycle engine having the same compression ratio but a standard near-sinusoidal motion. The effectiveness (the ratio of the work done to the reversible work, also called the second-law efficiency)is slightly
21、higher for the conventional engine, the effectiveness increases 9%; if the acceleration is unconstrained, the improvement in effectiveness goes up to 11%.These values are typical, not the most favorable. If the total losses of the conventional engine are held approximately constant but shifted to co
22、rrespond to about 80% larger heat loss and about 60% smaller friction loss, the gain in effectiveness goes up, reaching more than 17% above the effectiveness of the corresponding conventional engine.The principal source of the improvement in use of energy in this analysis is in the reduction of heat
23、 losses when the working fluid is near its maximum temperature. This is why the improvement is greater for engines with large its maximum temperature. This is why the improvement is greater for engines with large heat leaks and friction than for engines with relatively better insulation but higher f
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