dorsal/arxiv
View SchemaTemperature behavior of vortices of a 3D thermoconducting viscous fluid
| Authors | V. Grassi, R. A. Leo, G. Soliani, P. Tempesta |
|---|---|
| Categories | |
| ArXiv ID | physics/0107033 |
| URL | https://arxiv.org/abs/physics/0107033 |
| DOI | 10.1016/S0378-4371(01)00618-5 |
Abstract
The Navier-Stokes-Fourier model for a 3D thermoconducting viscous fluid, where the evolution equation for the temperature T contains a term proportional to the rate of energy dissipation, is investigated analitically at the light of the rotational invariance property. Two cases are considered: the Couette flow and a flow with a radial velocity between two rotating impermeable and porous coaxial cylinders, respectively. In both cases, we show the existence of a maximum value of T, T_max, when the difference of temperature Delta T=T_2-T_1 on the surfaces of the cylinders is assigned. The role of T_max is discussed in the context of different physical situations.
{
"annotation_id": "1554e7b1-0e8a-46e2-9834-1a84178c2c67",
"date_created": "2026-03-02T18:00:36.446000Z",
"date_modified": "2026-03-02T18:00:36.446000Z",
"file_hash": "1058866ff1b0a3d01e008b95ba44762dcbe3165a93a603ee75a847f9ae9e5f14",
"private": false,
"record": {
"abstract": "The Navier-Stokes-Fourier model for a 3D thermoconducting viscous fluid,\nwhere the evolution equation for the temperature T contains a term proportional\nto the rate of energy dissipation, is investigated analitically at the light of\nthe rotational invariance property. Two cases are considered: the Couette flow\nand a flow with a radial velocity between two rotating impermeable and porous\ncoaxial cylinders, respectively. In both cases, we show the existence of a\nmaximum value of T, T_max, when the difference of temperature Delta T=T_2-T_1\non the surfaces of the cylinders is assigned. The role of T_max is discussed in\nthe context of different physical situations.",
"arxiv_id": "physics/0107033",
"authors": [
"V. Grassi",
"R. A. Leo",
"G. Soliani",
"P. Tempesta"
],
"categories": [
"physics.flu-dyn",
"math-ph",
"math.MP"
],
"doi": "10.1016/S0378-4371(01)00618-5",
"title": "Temperature behavior of vortices of a 3D thermoconducting viscous fluid",
"url": "https://arxiv.org/abs/physics/0107033"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2981285d-3a4f-4f62-b4ce-a598c84ee431",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}