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The improvement effect of quantum degeneracy on the work from a Carnot cycle

Altug Sisman and Hasan Saygin

Applied Energy, 2001, vol. 68, issue 4, 367-376

Abstract: The efficiency of a Carnot ([eta]C) cycle is independent of the physical properties of the working gas. Therefore, [eta]C does not change due to quantum degeneracy of the gas. On the other hand, cycle work depends on the physical properties of the working gas since it is determined by the equation of state of the gas. Therefore, cycle work can be influenced by the quantum degeneracy of working gas. Here, Carnot power cycles working with ideal Bose and Fermi gases are examined under quantum degeneracy conditions. They are called Bose and Fermi Carnot cycles respectively. Cycle works of Bose and Fermi Carnot cycles (WB and WF) are derived. By dividing these works into the work of the classical Carnot power cycle (WC), which works with classical ideal gas, work ratios are defined as RWB=WB/WC and RWF=WF/WC. Variations of RWB and RWF with high temperature of the cycle (TH) are examined for a given temperature ratio [tau]=TL/TH and specific volume ratio rv=vH/vL. It is shown that RWB>1 for some values of TH while RWF

Keywords: Quantum; Carnot; cycle; Work; optimization; Quantum; degeneracy (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (8)

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