A note on viscous flow induced by half-line sources bounded by conical surfaces

Fuente: arXiv
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Autori principali: Rajamanickam, Prabakaran, Weiss, Adam D.
Natura: Preprint
Pubblicazione: 2024
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author Rajamanickam, Prabakaran
Weiss, Adam D.
author_facet Rajamanickam, Prabakaran
Weiss, Adam D.
contents In this paper axisymmetric solutions of the Navier-Stokes equations governing the flow induced by a half-line source when the fluid domain is bounded by a conical wall are discussed. Two types of boundary conditions are identified; one in which the radial velocity along the axis is prescribed, and the other in which the radial velocity along the axis is obtained as an eigenvalue of the problem. The existence of these solutions are limited to a range of Reynolds numbers and the transition from one case to the other are discussed in detail.
format Preprint
id arxiv_https___arxiv_org_abs_2406_15169
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A note on viscous flow induced by half-line sources bounded by conical surfaces
Rajamanickam, Prabakaran
Weiss, Adam D.
Fluid Dynamics
In this paper axisymmetric solutions of the Navier-Stokes equations governing the flow induced by a half-line source when the fluid domain is bounded by a conical wall are discussed. Two types of boundary conditions are identified; one in which the radial velocity along the axis is prescribed, and the other in which the radial velocity along the axis is obtained as an eigenvalue of the problem. The existence of these solutions are limited to a range of Reynolds numbers and the transition from one case to the other are discussed in detail.
title A note on viscous flow induced by half-line sources bounded by conical surfaces
topic Fluid Dynamics
url https://arxiv.org/abs/2406.15169