A Note on Viscous Flow Induced by Half-Line Sources Bounded by Conical Surfaces. Issue 1 (21st October 2019)

• Record Type: Journal Article
• Authors: Rajamanickam, Prabakaran; Weiss, Adam D
• Is Part Of: Quarterly journal of mechanics and applied mathematics. Volume 73:Issue 1(2020:Feb.)
• Page Start: 24
• Page End: 35
• Publication Date: 2019-10-21
• Subjects: Mechanics -- Mathematics -- Periodicals; Applied mathematics -- Periodicals; 530.1
• DOI: 10.1093/qjmam/hbz020
• Languages: English
• ISSNs: 0033-5614

Abstract

Summary: In this article, 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 is limited to a range of Reynolds numbers, and the transition from one case to the other is discussed in detail.