Near-wall Taylor-series expansion solution for compressible Navier–Stokes–Fourier system
This paper presents the Taylor-series expansion solution of near-wall velocity and temperature for a compressible Navier–Stokes–Fourier system with a no-slip curved boundary surface. When the shear viscosity is a single-valued function of local fluid temperature, the near-wall velocity and temperatu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2022-01-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0081220 |
| _version_ | 1818331383822548992 |
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| author | Tao Chen Tianshu Liu |
| author_facet | Tao Chen Tianshu Liu |
| author_sort | Tao Chen |
| collection | DOAJ |
| description | This paper presents the Taylor-series expansion solution of near-wall velocity and temperature for a compressible Navier–Stokes–Fourier system with a no-slip curved boundary surface. When the shear viscosity is a single-valued function of local fluid temperature, the near-wall velocity and temperature are explicitly expressed using the surface quantities including skin friction, surface pressure, surface dilatation, surface heat flux, surface temperature, surface curvature, and their relevant derivatives at the wall. In addition, the wall-normal pressure gradient at the wall is found to be contributed by three physical mechanisms including the skin friction divergence and surface dilatation effect as well as the coupled skin friction and surface heat flux with varying shear viscosity. Furthermore, without losing generality, we derive the near-wall Taylor-series expansion solution for the Lamb vector under the assumption of constant viscosities. Different physical mechanisms that are responsible for initial formation of the Lamb vector in the viscous sublayer are elucidated. The significance of the skin friction divergence and surface dilatation to the near-wall Lamb vector is highlighted. |
| first_indexed | 2024-12-13T13:18:59Z |
| format | Article |
| id | doaj.art-0f06aa6cb6194649b4f26f3f3170ba25 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-12-13T13:18:59Z |
| publishDate | 2022-01-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-0f06aa6cb6194649b4f26f3f3170ba252022-12-21T23:44:26ZengAIP Publishing LLCAIP Advances2158-32262022-01-01121015021015021-810.1063/5.0081220Near-wall Taylor-series expansion solution for compressible Navier–Stokes–Fourier systemTao Chen0Tianshu Liu1Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, ChinaDepartment of Mechanical and Aerospace Engineering, Western Michigan University, Kalamazoo, Michigan 49008, USAThis paper presents the Taylor-series expansion solution of near-wall velocity and temperature for a compressible Navier–Stokes–Fourier system with a no-slip curved boundary surface. When the shear viscosity is a single-valued function of local fluid temperature, the near-wall velocity and temperature are explicitly expressed using the surface quantities including skin friction, surface pressure, surface dilatation, surface heat flux, surface temperature, surface curvature, and their relevant derivatives at the wall. In addition, the wall-normal pressure gradient at the wall is found to be contributed by three physical mechanisms including the skin friction divergence and surface dilatation effect as well as the coupled skin friction and surface heat flux with varying shear viscosity. Furthermore, without losing generality, we derive the near-wall Taylor-series expansion solution for the Lamb vector under the assumption of constant viscosities. Different physical mechanisms that are responsible for initial formation of the Lamb vector in the viscous sublayer are elucidated. The significance of the skin friction divergence and surface dilatation to the near-wall Lamb vector is highlighted.http://dx.doi.org/10.1063/5.0081220 |
| spellingShingle | Tao Chen Tianshu Liu Near-wall Taylor-series expansion solution for compressible Navier–Stokes–Fourier system AIP Advances |
| title | Near-wall Taylor-series expansion solution for compressible Navier–Stokes–Fourier system |
| title_full | Near-wall Taylor-series expansion solution for compressible Navier–Stokes–Fourier system |
| title_fullStr | Near-wall Taylor-series expansion solution for compressible Navier–Stokes–Fourier system |
| title_full_unstemmed | Near-wall Taylor-series expansion solution for compressible Navier–Stokes–Fourier system |
| title_short | Near-wall Taylor-series expansion solution for compressible Navier–Stokes–Fourier system |
| title_sort | near wall taylor series expansion solution for compressible navier stokes fourier system |
| url | http://dx.doi.org/10.1063/5.0081220 |
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