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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.14000 |
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| _version_ | 1866915347056033792 |
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| author | Barros, Diogo C. Larchevêque, Lionel Dupont, Pierre |
| author_facet | Barros, Diogo C. Larchevêque, Lionel Dupont, Pierre |
| contents | In small-scale, low-density or high-speed flows, the mean free path of the gas and its molecular interaction with a solid interface are key properties for the analysis of heat transfer mechanisms occurring in many flow processes ranging from micro-scale to aerospace applications. Here, we specifically examine the effects of temperature jump at the gas-solid interface on the convection from a cylinder in the high-speed slip flow regime. By employing the classical Smoluchowski temperature jump condition, we derive a simple model that explicitly predicts the heat flux (Nusselt number $\text{Nu}$) from the surface of a small heated cylinder simulating a hot-wire as a function of the Knudsen number ($\text{Kn}$) and the thermal (or energy) accommodation coefficient ($σ_T$) of the gas molecules interacting with the surface. The model, derived analytically and verified empirically by numerical simulations, helps clarifying coupled gas rarefaction and temperature effects on the heat transfer from a cylinder in high-speed flow. In addition, we employ the model reversely to propose a novel methodology to compute gas-surface thermal accommodation or temperature jump coefficients from hot-wire measurements. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_14000 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A model of heat transfer from a cylinder in high-speed slip flow and determination of temperature jump coefficients using hot-wires Barros, Diogo C. Larchevêque, Lionel Dupont, Pierre Fluid Dynamics In small-scale, low-density or high-speed flows, the mean free path of the gas and its molecular interaction with a solid interface are key properties for the analysis of heat transfer mechanisms occurring in many flow processes ranging from micro-scale to aerospace applications. Here, we specifically examine the effects of temperature jump at the gas-solid interface on the convection from a cylinder in the high-speed slip flow regime. By employing the classical Smoluchowski temperature jump condition, we derive a simple model that explicitly predicts the heat flux (Nusselt number $\text{Nu}$) from the surface of a small heated cylinder simulating a hot-wire as a function of the Knudsen number ($\text{Kn}$) and the thermal (or energy) accommodation coefficient ($σ_T$) of the gas molecules interacting with the surface. The model, derived analytically and verified empirically by numerical simulations, helps clarifying coupled gas rarefaction and temperature effects on the heat transfer from a cylinder in high-speed flow. In addition, we employ the model reversely to propose a novel methodology to compute gas-surface thermal accommodation or temperature jump coefficients from hot-wire measurements. |
| title | A model of heat transfer from a cylinder in high-speed slip flow and determination of temperature jump coefficients using hot-wires |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2506.14000 |