New Dimensionless Number for the Transition from Viscous to Turbulent Flow
Within the framework of Classical Continuum Thermomechanics, we consider an unsteady isothermal flow of a simple isotropic linear viscous fluid in the liquid state to investigate the transient flow conditions. Despite the attention paid to this problem by several research works, it seems that the un...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-06-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/7/6/202 |
| _version_ | 1797487613414735872 |
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| author | Carmine Di Nucci Daniele Celli Davide Pasquali Marcello Di Risio |
| author_facet | Carmine Di Nucci Daniele Celli Davide Pasquali Marcello Di Risio |
| author_sort | Carmine Di Nucci |
| collection | DOAJ |
| description | Within the framework of Classical Continuum Thermomechanics, we consider an unsteady isothermal flow of a simple isotropic linear viscous fluid in the liquid state to investigate the transient flow conditions. Despite the attention paid to this problem by several research works, it seems that the understanding of turbulence in these flow conditions is controversial. We propose a dimensionless procedure that highlights some aspects related to the transition from viscous to turbulent flow which occurs when a finite amplitude pressure wave travels through the fluid. This kind of transition is demonstrated to be described by a (first) dimensionless number, which involves the bulk viscosity. Furthermore, in the turbulent flow regime, we show the role played by a (second) dimensionless number, which involves the turbulent bulk viscosity, in entropy production. Within the frame of the 1D model, we test the performance of the dimensionless procedure using experimental data on the pressure waves propagation in a long pipe (water hammer phenomenon). The obtained numerical results show good agreement with the experimental data. The results’ inspection confirms the predominant role of the turbulent bulk viscosity on energy dissipation processes. |
| first_indexed | 2024-03-09T23:50:13Z |
| format | Article |
| id | doaj.art-f54cabda15bb4fab92a1fef58032068b |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-09T23:50:13Z |
| publishDate | 2022-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-f54cabda15bb4fab92a1fef58032068b2023-11-23T16:37:01ZengMDPI AGFluids2311-55212022-06-017620210.3390/fluids7060202New Dimensionless Number for the Transition from Viscous to Turbulent FlowCarmine Di Nucci0Daniele Celli1Davide Pasquali2Marcello Di Risio3Environmental and Maritime Hydraulic Laboratory (LIam), Civil, Construction-Architectural and Environmental Engineering Department (DICEAA), University of L’Aquila, 67100 L’Aquila, ItalyEnvironmental and Maritime Hydraulic Laboratory (LIam), Civil, Construction-Architectural and Environmental Engineering Department (DICEAA), University of L’Aquila, 67100 L’Aquila, ItalyEnvironmental and Maritime Hydraulic Laboratory (LIam), Civil, Construction-Architectural and Environmental Engineering Department (DICEAA), University of L’Aquila, 67100 L’Aquila, ItalyEnvironmental and Maritime Hydraulic Laboratory (LIam), Civil, Construction-Architectural and Environmental Engineering Department (DICEAA), University of L’Aquila, 67100 L’Aquila, ItalyWithin the framework of Classical Continuum Thermomechanics, we consider an unsteady isothermal flow of a simple isotropic linear viscous fluid in the liquid state to investigate the transient flow conditions. Despite the attention paid to this problem by several research works, it seems that the understanding of turbulence in these flow conditions is controversial. We propose a dimensionless procedure that highlights some aspects related to the transition from viscous to turbulent flow which occurs when a finite amplitude pressure wave travels through the fluid. This kind of transition is demonstrated to be described by a (first) dimensionless number, which involves the bulk viscosity. Furthermore, in the turbulent flow regime, we show the role played by a (second) dimensionless number, which involves the turbulent bulk viscosity, in entropy production. Within the frame of the 1D model, we test the performance of the dimensionless procedure using experimental data on the pressure waves propagation in a long pipe (water hammer phenomenon). The obtained numerical results show good agreement with the experimental data. The results’ inspection confirms the predominant role of the turbulent bulk viscosity on energy dissipation processes.https://www.mdpi.com/2311-5521/7/6/202bulk viscositycompressible navier-stokespressure wavesturbulencewater hammer |
| spellingShingle | Carmine Di Nucci Daniele Celli Davide Pasquali Marcello Di Risio New Dimensionless Number for the Transition from Viscous to Turbulent Flow Fluids bulk viscosity compressible navier-stokes pressure waves turbulence water hammer |
| title | New Dimensionless Number for the Transition from Viscous to Turbulent Flow |
| title_full | New Dimensionless Number for the Transition from Viscous to Turbulent Flow |
| title_fullStr | New Dimensionless Number for the Transition from Viscous to Turbulent Flow |
| title_full_unstemmed | New Dimensionless Number for the Transition from Viscous to Turbulent Flow |
| title_short | New Dimensionless Number for the Transition from Viscous to Turbulent Flow |
| title_sort | new dimensionless number for the transition from viscous to turbulent flow |
| topic | bulk viscosity compressible navier-stokes pressure waves turbulence water hammer |
| url | https://www.mdpi.com/2311-5521/7/6/202 |
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