On the solution of fluid flow and heat transfer problem in a 2D channel with backward-facing step
The stable stationary solutions of the test problem of hydrodynamics and heat transfer in a plane channel with the backward-facing step have been considered in the work for extremely high Reynolds numbers and expansion ratio of the stream $ER$. The problem has been solved by numerical integration of...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2017-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| Subjects: | |
| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20549/16796 |
| _version_ | 1818277869633142784 |
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| author | Alexander A Fomin Liubov N Fomina |
| author_facet | Alexander A Fomin Liubov N Fomina |
| author_sort | Alexander A Fomin |
| collection | DOAJ |
| description | The stable stationary solutions of the test problem of hydrodynamics and heat transfer in a plane channel with the backward-facing step have been considered in the work for extremely high Reynolds numbers and expansion ratio of the stream $ER$. The problem has been solved by numerical integration of the 2D Navier--Stokes equations in `velocity-pressure' formulation and the heat equation in the range of Reynolds number $500 \leqslant {\sf Re} \leqslant 3000$ and expansion ratio $1.43 \leqslant ER \leqslant 10$ for Prandtl number ${\sf Pr} = 0.71$. Validity of the results has been confirmed by comparing them with literature data. Detailed flow patterns, fields of stream overheating, and profiles of horizontal component of velocity and relative overheating of flow in the cross section of the channel have been presented. Complex behaviors of the coefficients of friction, hydrodynamic resistance and heat transfer (Nusselt number) along the channel depending on the problem parameters have been analyzed. |
| first_indexed | 2024-12-12T23:08:24Z |
| format | Article |
| id | doaj.art-02d6fab715f64f589d3deafc0ff3b1f9 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-12T23:08:24Z |
| publishDate | 2017-06-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-02d6fab715f64f589d3deafc0ff3b1f92022-12-22T00:08:39ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812017-06-0121236237510.14498/vsgtu154517969On the solution of fluid flow and heat transfer problem in a 2D channel with backward-facing stepAlexander A Fomin0Liubov N Fomina1T. F. Gorbachev Kuzbass State Technical UniversityKemerovo State UniversityThe stable stationary solutions of the test problem of hydrodynamics and heat transfer in a plane channel with the backward-facing step have been considered in the work for extremely high Reynolds numbers and expansion ratio of the stream $ER$. The problem has been solved by numerical integration of the 2D Navier--Stokes equations in `velocity-pressure' formulation and the heat equation in the range of Reynolds number $500 \leqslant {\sf Re} \leqslant 3000$ and expansion ratio $1.43 \leqslant ER \leqslant 10$ for Prandtl number ${\sf Pr} = 0.71$. Validity of the results has been confirmed by comparing them with literature data. Detailed flow patterns, fields of stream overheating, and profiles of horizontal component of velocity and relative overheating of flow in the cross section of the channel have been presented. Complex behaviors of the coefficients of friction, hydrodynamic resistance and heat transfer (Nusselt number) along the channel depending on the problem parameters have been analyzed.https://journals.eco-vector.com/1991-8615/article/viewFile/20549/16796navier-stokes equationsseparating flowheat transfera plane channel with backward-facing stepmathematical simulationgrid-based approach |
| spellingShingle | Alexander A Fomin Liubov N Fomina On the solution of fluid flow and heat transfer problem in a 2D channel with backward-facing step Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki navier-stokes equations separating flow heat transfer a plane channel with backward-facing step mathematical simulation grid-based approach |
| title | On the solution of fluid flow and heat transfer problem in a 2D channel with backward-facing step |
| title_full | On the solution of fluid flow and heat transfer problem in a 2D channel with backward-facing step |
| title_fullStr | On the solution of fluid flow and heat transfer problem in a 2D channel with backward-facing step |
| title_full_unstemmed | On the solution of fluid flow and heat transfer problem in a 2D channel with backward-facing step |
| title_short | On the solution of fluid flow and heat transfer problem in a 2D channel with backward-facing step |
| title_sort | on the solution of fluid flow and heat transfer problem in a 2d channel with backward facing step |
| topic | navier-stokes equations separating flow heat transfer a plane channel with backward-facing step mathematical simulation grid-based approach |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20549/16796 |
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