An Introduction to the Mechanics of Incompressible Fluids
This open access book allows the reader to grasp the main bulk of fluid flow problems at a brisk pace. Starting with the basic concepts of conservation laws developed using continuum mechanics, the incompressibility of a fluid is explained and modeled, leading to the famous Navier-Stokes equation th...
I tiakina i:
| Kaituhi matua: | |
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| Hōputu: | Online |
| Reo: | Ingarihi |
| I whakaputaina: |
Springer Nature
2022
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| Ngā marau: | |
| Urunga tuihono: | ONIX_20220915_9783031046834_22 |
| Ngā Tūtohu: |
Kāore He Tūtohu, Me noho koe te mea tuatahi ki te tūtohu i tēnei pūkete!
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| _version_ | 1869529485020233728 |
|---|---|
| author | Deville, Michel O. |
| author_browse | Deville, Michel O. |
| author_facet | Deville, Michel O. |
| author_sort | Deville, Michel O. |
| collection | Directory of Open Access Books |
| description | This open access book allows the reader to grasp the main bulk of fluid flow problems at a brisk pace. Starting with the basic concepts of conservation laws developed using continuum mechanics, the incompressibility of a fluid is explained and modeled, leading to the famous Navier-Stokes equation that governs the dynamics of fluids. Some exact solutions for transient and steady-state cases in Cartesian and axisymmetric coordinates are proposed. A particular set of examples is associated with creeping or Stokes flows, where viscosity is the dominant physical phenomenon. Irrotational flows are treated by introducing complex variables. The use of the conformal mapping and the Joukowski transformation allows the treatment of the flow around an airfoil. The boundary layer theory corrects the earlier approach with the Prandtl equations, their solution for the case of a flat plate, and the von Karman integral equation. The instability of fluid flows is studied for parallel flows using the Orr-Sommerfeld equation. The stability of a circular Couette flow is also described. The book ends with the modeling of turbulence by the Reynolds-averaged Navier-Stokes equations and large-eddy simulations. Each chapter includes useful practice problems and their solutions. The book is useful for engineers, physicists, and scientists interested in the fascinating field of fluid mechanics. |
| format | Online |
| id | doab-20.500.12854ir-92371 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2022 |
| publishDateRange | 2022 |
| publishDateSort | 2022 |
| publisher | Springer Nature |
| publisherStr | Springer Nature |
| record_format | ojs |
| spelling | doab-20.500.12854ir-923712024-09-10T04:47:51Z An Introduction to the Mechanics of Incompressible Fluids Deville, Michel O. Incompressible fluid mechanics Navier-Stokes Equations Plane Irrotational Flows Turbulence Instability Textbook thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials::TGB Mechanical engineering thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials::TGM Materials science::TGMF Engineering: Mechanics of fluids This open access book allows the reader to grasp the main bulk of fluid flow problems at a brisk pace. Starting with the basic concepts of conservation laws developed using continuum mechanics, the incompressibility of a fluid is explained and modeled, leading to the famous Navier-Stokes equation that governs the dynamics of fluids. Some exact solutions for transient and steady-state cases in Cartesian and axisymmetric coordinates are proposed. A particular set of examples is associated with creeping or Stokes flows, where viscosity is the dominant physical phenomenon. Irrotational flows are treated by introducing complex variables. The use of the conformal mapping and the Joukowski transformation allows the treatment of the flow around an airfoil. The boundary layer theory corrects the earlier approach with the Prandtl equations, their solution for the case of a flat plate, and the von Karman integral equation. The instability of fluid flows is studied for parallel flows using the Orr-Sommerfeld equation. The stability of a circular Couette flow is also described. The book ends with the modeling of turbulence by the Reynolds-averaged Navier-Stokes equations and large-eddy simulations. Each chapter includes useful practice problems and their solutions. The book is useful for engineers, physicists, and scientists interested in the fascinating field of fluid mechanics. 2022-09-22T04:16:54Z 2022-09-22T04:16:54Z 2022-09-15T20:13:47Z 2022 book ONIX_20220915_9783031046834_22 https://library.oapen.org/handle/20.500.12657/58369 9783031046834 https://directory.doabooks.org/handle/20.500.12854/92371 eng open access image/jpeg image/jpeg n/a n/a https://library.oapen.org/bitstream/20.500.12657/58369/1/978-3-031-04683-4.pdf https://library.oapen.org/bitstream/20.500.12657/58369/1/978-3-031-04683-4.pdf Springer Nature Springer International Publishing 10.1007/978-3-031-04683-4 10.1007/978-3-031-04683-4 9fa3421d-f917-4153-b9ab-fc337c396b5a 22daebff-116b-403f-b4c6-133655f3fe3a 9783031046834 Springer International Publishing 325 Cham [...] open access |
| spellingShingle | Incompressible fluid mechanics Navier-Stokes Equations Plane Irrotational Flows Turbulence Instability Textbook thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials::TGB Mechanical engineering thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials::TGM Materials science::TGMF Engineering: Mechanics of fluids Deville, Michel O. An Introduction to the Mechanics of Incompressible Fluids |
| title | An Introduction to the Mechanics of Incompressible Fluids |
| title_full | An Introduction to the Mechanics of Incompressible Fluids |
| title_fullStr | An Introduction to the Mechanics of Incompressible Fluids |
| title_full_unstemmed | An Introduction to the Mechanics of Incompressible Fluids |
| title_short | An Introduction to the Mechanics of Incompressible Fluids |
| title_sort | introduction to the mechanics of incompressible fluids |
| topic | Incompressible fluid mechanics Navier-Stokes Equations Plane Irrotational Flows Turbulence Instability Textbook thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials::TGB Mechanical engineering thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials::TGM Materials science::TGMF Engineering: Mechanics of fluids |
| topic_facet | Incompressible fluid mechanics Navier-Stokes Equations Plane Irrotational Flows Turbulence Instability Textbook thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials::TGB Mechanical engineering thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TG Mechanical engineering and materials::TGM Materials science::TGMF Engineering: Mechanics of fluids |
| url | ONIX_20220915_9783031046834_22 |
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