( Pause) I must beget a babe, an heir to succeed upon the throne a barren crown will fall before the seeds of power sown. The Prince of CumberlandĪnd his brother royal still live upon this earth! Some do suspect Macbeth of Duncan’s death to my dismay. (Apprehensively) And still, withal, our place is not secure upon the golden dais. Surreptitiously, searching for the source of the draft, before coming to a halt, a haunted look in her eye and breathing heavily.) ( A strange gust of air flurries through the stage, swirling Lady Macbeth’s hair in a whirl and snuffing out the candle, which she releases from her grip as it plummets to the stage. For if this was so all ofĬhristendom would be grasped in woman’s hands, cast out the dogs of men! ( Pauses for a moment contemplating) Being bold and strong of mind is an advantage all of my sex should embrace. No woman, be she mother, wife or queen could be as like a man as I. It was I that did this so, none other did and none other could’ve even if the heralds of heaven had ( She comes to a standstill and sobs clutching her throat, before regaining her composure)Yet fortune prevailed, for I did goad Macbeth once more, I rekindled his To then shun this right road of gain for the mere favour of an aged king? Outrageous, unthinkable, intolerable! To want to alter the course foreseen? Even when it was he himself who had told me of these marvellous predictions! When he himself had seemed as overjoyed as I with the prospects given Though he is now the man of expectation, what man was he then? ( Begins to pace the stage, speaks with conviction and anger) What man was he, weak-minded Indeed, for even when the task was done it was not done as planned Macbeth returned with Right! Macbeth faltered in our quest, refusing to do that which needed to be done to catch the nearest way. ( Pause) I feared he would not dispatch Duncan ( scornfully) his lord and master! I judged his heart to be too full of kindness for his kin. Macbeth did prove himself a man though I feared he I was right to pursue this road it has brought us both great rewards, which I shall readily enjoy hereafter. ( Pause) As the sisters foretold Glamis, Cawdor and the realm! Masters of the Scots are we now, ( with an almost awed reverence) MacbethĪnd I, King and Queen in sovereign state. (Shakily at first, voice strengthens with every word, speaks with certainty)
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The Rankine Cycle’s major components include a rotating steam turbine, a boiler pump, a stationary condenser, and a boiler. The Rankine cycle is an idealized thermodynamic cycle describing the process by which certain heat engines, such as steam turbines or reciprocating steam engines, allow mechanical work to be extracted from a fluid as it moves between a heat source and heat sink. This means that turbines and pumps do not produce entropy. The Rankine Cycle is a mechanical cycle commonly used in power plants to convert the pressure energy of steam into mechanical energy through steam turbines. In an ideal Rankine cycle, turbines and pumps operate under isentropic conditions. During this process, the vapor releases heat, but its hydraulic pressure remains the same. In this condensation process, the vapor is condensed into a saturated liquid. Constant pressure heat release method (4 to 1): Steam enters the condensation tank after the expansion process.Throughout this process, the pressure and temperature of the steam will drop. When the coil rotates in a magnetic field, it produces electricity. As the turbine blades rotate, so does the crankshaft, which causes the generator coil to rotate further. When the steam expands, it collides with the turbine blades and converts the thermal energy of the steam into rotational energy (mechanical work). Isentropic expansion (3-4): After a constant pressure input heat process, the steam enters the turbine section and expands there.The enthalpy of the liquid changes while the pressure remains constant. The boiler heats the water at constant pressure and converts it into dry saturated steam (steam). Constant pressure heat addition process (2-3): An external heat source supplies heat to the boiler while water is supplied to the boiler.For the initial pump, the work done by the pump is as follows: The liquid is pumped by increasing the pressure of the liquid, but the entropy of the liquid remains the same. The pump requires a small amount of energy to pump first. Isentropic compression (1-2): At this stage, the pump carries water or another working medium from the body of water (such as sewers or tanks) to the boiler.The application and effectiveness of the proposed method are verified via an industrial case study and the results are expected to provide guidance for the design of the multi-period and multi-source waste heat recovery process in practice. At the last step, the time-sharing model is extended and solved to finalize the design of multi-source WHRS, so that the multi-period operation requirements can be easily met through the combination and sharing of operating units. The number of cycles, the working fluids, the WHRN structure, and the design and operating parameters are thus determined for multi-source and multi-cycle WHRS. Then, based on these selections, a multi-source and multi-cycle WHRS model is established and solved to determine the optimal configuration of multi-source WHRS, which consists of an ORC thermodynamic model and a waste heat recovery network (WHRN) model. In this step, the quantitative relationship for working fluid selection in single-source system is generalized to the multi-source WHRS, and a series of principles for the combination and classification of inflection points on heat source load curve are presented to simplify the design process and avoid the structure redundancy at the same time. In the proposed method, the candidate working fluids and the corresponding cycles of WHRS are preliminarily selected based on analysis of the heat source load curve and the quantitative relationship of temperatures between the heat sources and working fluids. This paper addresses a three-step method to design the optimal ORC waste heat recovery system (WHRS) that adapts to the multi-period and multi-source heat recovery requirements. |
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