Theoretical Solution for Fully Developed Laminar Flow in a Noncircular DuctSource: Journal of Fluids Engineering:;2022:;volume( 145 ):;issue: 003::page 31301-1DOI: 10.1115/1.4056211Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this study, the friction factor of a fully developed laminar flow in a noncircular duct, which is used in an automotive cooler system, is investigated. The Poisson equation of velocity with homogeneous boundary conditions is solved by using the method of separation of variables and analytical solutions of velocity, wall shear stress, and friction factor for arbitrary symmetric noncircular ducts are obtained. The analytical solutions are validated by comparing against analytical and experimental data available for rectangular and triangular ducts. Cross-sectional distribution of velocity, wall shear stress along the duct boundary, and friction factor are analyzed in depth. It is obtained that the friction factor for this specific duct is λ=95Re, with Re defined with the equivalent diameter as length scale. Moreover, the applicability of a general equation of friction factor proposed by Muzychka and Yovanovich is validated for this specific duct by comparing with the analytical solution. The result shows that the general equation is accurate enough and can be used for the evaluation of flow resistance in the design of the cooler system.
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| contributor author | Jing, Haixiao | |
| contributor author | Li, Pengfeng | |
| contributor author | Zhu, Lei | |
| contributor author | Yang, Zhendong | |
| date accessioned | 2023-08-16T18:16:31Z | |
| date available | 2023-08-16T18:16:31Z | |
| date copyright | 11/23/2022 12:00:00 AM | |
| date issued | 2022 | |
| identifier issn | 0098-2202 | |
| identifier other | fe_145_03_031301.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4291748 | |
| description abstract | In this study, the friction factor of a fully developed laminar flow in a noncircular duct, which is used in an automotive cooler system, is investigated. The Poisson equation of velocity with homogeneous boundary conditions is solved by using the method of separation of variables and analytical solutions of velocity, wall shear stress, and friction factor for arbitrary symmetric noncircular ducts are obtained. The analytical solutions are validated by comparing against analytical and experimental data available for rectangular and triangular ducts. Cross-sectional distribution of velocity, wall shear stress along the duct boundary, and friction factor are analyzed in depth. It is obtained that the friction factor for this specific duct is λ=95Re, with Re defined with the equivalent diameter as length scale. Moreover, the applicability of a general equation of friction factor proposed by Muzychka and Yovanovich is validated for this specific duct by comparing with the analytical solution. The result shows that the general equation is accurate enough and can be used for the evaluation of flow resistance in the design of the cooler system. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Theoretical Solution for Fully Developed Laminar Flow in a Noncircular Duct | |
| type | Journal Paper | |
| journal volume | 145 | |
| journal issue | 3 | |
| journal title | Journal of Fluids Engineering | |
| identifier doi | 10.1115/1.4056211 | |
| journal fristpage | 31301-1 | |
| journal lastpage | 31301-9 | |
| page | 9 | |
| tree | Journal of Fluids Engineering:;2022:;volume( 145 ):;issue: 003 | |
| contenttype | Fulltext |