Development of governing equations for mixing shocks in two-phase flows.
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| Title: | Development of governing equations for mixing shocks in two-phase flows. |
|---|---|
| Authors: | Mollakouchakian, M.1 (AUTHOR), Emami, M. D.1 (AUTHOR) mohsen@cc.iut.ac.ir |
| Source: | Shock Waves. Jun2023, Vol. 33 Issue 4, p357-368. 12p. |
| Subjects: | Two-phase flow, Euler number, Transition flow, Gas flow, Equations, Entropy, Slip flows (Physics) |
| Abstract: | An important phenomenon in the gas–liquid two-phase mixtures is a sudden change in the flow that may lead to transition of the flow regime from non-homogeneous slip flow to homogenous flow. This phenomenon is called mixing shock and has been investigated by several researchers. In the present paper, a more comprehensive model is proposed by including the entrainment ratio in the governing equations. Moreover, parametric studies are performed to assess the importance of this parameter in different conditions. The results of the present study indicate that at Euler numbers less than four the effect of gas mass flow is insignificant. However, at higher Euler numbers the differences of the present and previous models are noticeable. Since two possible solutions for the aftershock state exist, four criteria—entropy change across the shock, possibility of an expansion shock, positivity of the Euler number, and choking flow condition—are considered to identify the correct solution. The results indicate that the flow after the shock could only be of a subsonic type, and the mixing shock is compressive. A comparison of the possible realizable zones for the developed model and the previous models indicates that the developed model predicts a larger area for the realizable solution of the mixing shock. A comparison between analytical results and experimental data shows that the developed model predicts reasonable results. [ABSTRACT FROM AUTHOR] |
| Copyright of Shock Waves is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 167307845 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Development of governing equations for mixing shocks in two-phase flows. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Mollakouchakian%2C+M%2E%22">Mollakouchakian, M.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Emami%2C+M%2E+D%2E%22">Emami, M. D.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> mohsen@cc.iut.ac.ir</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Shock+Waves%22">Shock Waves</searchLink>. Jun2023, Vol. 33 Issue 4, p357-368. 12p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Two-phase+flow%22">Two-phase flow</searchLink><br /><searchLink fieldCode="DE" term="%22Euler+number%22">Euler number</searchLink><br /><searchLink fieldCode="DE" term="%22Transition+flow%22">Transition flow</searchLink><br /><searchLink fieldCode="DE" term="%22Gas+flow%22">Gas flow</searchLink><br /><searchLink fieldCode="DE" term="%22Equations%22">Equations</searchLink><br /><searchLink fieldCode="DE" term="%22Entropy%22">Entropy</searchLink><br /><searchLink fieldCode="DE" term="%22Slip+flows+%28Physics%29%22">Slip flows (Physics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: An important phenomenon in the gas–liquid two-phase mixtures is a sudden change in the flow that may lead to transition of the flow regime from non-homogeneous slip flow to homogenous flow. This phenomenon is called mixing shock and has been investigated by several researchers. In the present paper, a more comprehensive model is proposed by including the entrainment ratio in the governing equations. Moreover, parametric studies are performed to assess the importance of this parameter in different conditions. The results of the present study indicate that at Euler numbers less than four the effect of gas mass flow is insignificant. However, at higher Euler numbers the differences of the present and previous models are noticeable. Since two possible solutions for the aftershock state exist, four criteria—entropy change across the shock, possibility of an expansion shock, positivity of the Euler number, and choking flow condition—are considered to identify the correct solution. The results indicate that the flow after the shock could only be of a subsonic type, and the mixing shock is compressive. A comparison of the possible realizable zones for the developed model and the previous models indicates that the developed model predicts a larger area for the realizable solution of the mixing shock. A comparison between analytical results and experimental data shows that the developed model predicts reasonable results. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Shock Waves is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1007/s00193-023-01140-7 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 12 StartPage: 357 Subjects: – SubjectFull: Two-phase flow Type: general – SubjectFull: Euler number Type: general – SubjectFull: Transition flow Type: general – SubjectFull: Gas flow Type: general – SubjectFull: Equations Type: general – SubjectFull: Entropy Type: general – SubjectFull: Slip flows (Physics) Type: general Titles: – TitleFull: Development of governing equations for mixing shocks in two-phase flows. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Mollakouchakian, M. – PersonEntity: Name: NameFull: Emami, M. D. IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2023 Type: published Y: 2023 Identifiers: – Type: issn-print Value: 09381287 Numbering: – Type: volume Value: 33 – Type: issue Value: 4 Titles: – TitleFull: Shock Waves Type: main |
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