A role of the heat and work uncompensated transformations in the balance of entropy and the turbomachinery eﬃcienc

Kowalczyk, T.; Ziółkowski, P.; Sławiński, D.; Cisak, M.; Badur, J.

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A role of the heat and work uncompensated transformations in the balance of entropy and the turbomachinery eﬃcienc

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Kowalczyk T. , Ziółkowski P. , Sławiński D. , Cisak M. , Badur J.

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The notion of heat uncompensated transformation has early been introduced by Clausius in 1854 and next, after ﬁfty years of forgetting, in 1904 Duhem has revalorized it and combined it with a new notion of work uncompensated transformation [3]. In this way the so-called ClausiusDuhem inequality has been established. In our paper we wish to present a novelized procedure of estimating the role of the uncompensated transformations of heat and work within the ﬂow of viscous and heat conducting working ﬂuid like water stream. The original procedure was introduced by Puzyrewski and it is essential in expressing of a local, in time and space, balance of entropy. Futhermore, this unique approach leads to redeﬁnition of the eﬃciency notion, as is usually applied to ﬂuid-ﬂow machineries, to a new one important in computational ﬂuid dynamics (CFD) three-dimensional modeling. As a result, it is shown that usage of the polytropic eﬃciency, instead of the isentropic eﬃciency, is more convenient and seems to be natural in CFD approach. Helpfully, we have also found a correlation between those two eﬃciency deﬁnitions with usage of proposed new dimensionless (criterion) number.

Słowa kluczowe

entropy balance entropy sources uncompensated transformations isentropic efficiency polytropic efficiency eulerian fluid turbine stage Puzyrewski number

Wydawca

Wydawnictwo Instytutu Maszyn Przepływowych PAN

Czasopismo

Transactions of the Institute of Fluid-Flow Machinery

Rocznik

2017

Tom

nr 135

Strony

11--27

Opis fizyczny

Bibliogr. 35 poz., rys.

Twórcy

autor

Kowalczyk T.

tomasz.kowalczyk@imp.gda.pl

Energy Conversion Department, Institute of Fluid-Flow Machinery, Polish Academy of Sciences, Fiszera 14, 80-231 Gdańsk, Poland

autor

Ziółkowski P.

Energy Conversion Department, Institute of Fluid-Flow Machinery, Polish Academy of Sciences, Fiszera 14, 80-231 Gdańsk, Poland

autor

Sławiński D.

Energy Conversion Department, Institute of Fluid-Flow Machinery, Polish Academy of Sciences, Fiszera 14, 80-231 Gdańsk, Poland

autor

Cisak M.

Energy Conversion Department, Institute of Fluid-Flow Machinery, Polish Academy of Sciences, Fiszera 14, 80-231 Gdańsk, Poland

autor

Badur J.

Energy Conversion Department, Institute of Fluid-Flow Machinery, Polish Academy of Sciences, Fiszera 14, 80-231 Gdańsk, Poland

Bibliografia

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Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017)

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