The energy density distribution of an ideal gas and Bernoulli's equations

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dc.contributor.author Santos, Leonardo Sioufi Fagundes dos [UNIFESP]
dc.date.accessioned 2020-07-20T16:30:58Z
dc.date.available 2020-07-20T16:30:58Z
dc.date.issued 2018
dc.identifier http://dx.doi.org/10.1088/1361-6404/aaa34c
dc.identifier.citation European Journal Of Physics. Bristol, v. 39, n. 3, p. -, 2018.
dc.identifier.issn 0143-0807
dc.identifier.uri https://repositorio.unifesp.br/handle/11600/55619
dc.description.abstract This work discusses the energy density distribution in an ideal gas and the consequences of Bernoulli's equation and the corresponding relation for compressible fluids. The aim of this work is to study how Bernoulli's equation determines the energy flow in a fluid, although Bernoulli's equation does not describe the energy density itself. The model from molecular dynamic considerations that describes an ideal gas at rest with uniform density is modified to explore the gas in motion with non-uniform density and gravitational effects. The difference between the component of the speed of a particle that is parallel to the gas speed and the gas speed itself is called 'parallel random speed'. The pressure from the 'parallel random speed' is denominated as parallel pressure. The modified model predicts that the energy density is the sum of kinetic and potential gravitational energy densities plus two terms with static and parallel pressures. The application of Bernoulli's equation and the corresponding relation for compressible fluids in the energy density expression has resulted in two new formulations. For incompressible and compressible gas, the energy density expressions are written as a function of stagnation, static and parallel pressures, without any dependence on kinetic or gravitational potential energy densities. These expressions of the energy density are the main contributions of this work. When the parallel pressure was uniform, the energy density distribution for incompressible approximation and compressible gas did not converge to zero for the limit of null static pressure. This result is rather unusual because the temperature tends to zero for null pressure. When the gas was considered incompressible and the parallel pressure was equal to static pressure, the energy density maintained this unusual behaviour with small pressures. If the parallel pressure was equal to static pressure, the energy density converged to zero for the limit of the null pressure only if the gas was compressible. Only the last situation describes an intuitive behaviour for an ideal gas. en
dc.format.extent -
dc.language.iso eng
dc.publisher Iop Publishing Ltd
dc.relation.ispartof European Journal Of Physics
dc.rights Acesso restrito
dc.subject Bernoulli's equation en
dc.subject Bernoulli's equation for compressible fluid en
dc.subject kinetic theory en
dc.subject ideal gas en
dc.subject energy density en
dc.subject pressure en
dc.subject temperature en
dc.title The energy density distribution of an ideal gas and Bernoulli's equations en
dc.type Artigo
dc.description.affiliation Univ Fed Sao Paulo UNIFESP, Dept Fis, Diadema, Rua Sao Nicolau 210, BR-09913030, Brazil
dc.description.affiliationUnifesp Univ Fed Sao Paulo UNIFESP, Dept Fis, Diadema, Rua Sao Nicolau 210, BR-09913030, Brazil
dc.identifier.doi 10.1088/1361-6404/aaa34c
dc.description.source Web of Science
dc.identifier.wos WOS:000427371800002
dc.coverage Bristol
dc.citation.volume v. 39
dc.citation.issue 3



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