Asymptotic solution of the low Reynolds-number flow between two co-axial cones of common apex
type: Item
instance of: scholarly article
title: Asymptotic solution of the low Reynolds-number flow between two co-axial cones of common apex
zbMATH Open document ID: 0573.76040
DOI: 10.1155/S016117128400079X
author: M. A. Serag-Eldin
author: Y. K. Gayed
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/45967
review text: The paper is concerned with the axi-symmetric, incompressible, steady, laminar and Newtonian flow between two, stationary, conical-boundaries, which exhibit a common apex but may include arbitrary angles. The flow pattern and pressure field are obtained by solving the pertinent Navier- Stokes' equations in the spherical coordinate system. The solution is presented in the form of an asymptotic series, which converges towards the creeping flow solution as a cross-sectional Reynolds-number tends to zero. The first term in the series, namely the creeping flow solution, is given in closed form; whereas, higher order terms contain functions which generally could only be expressed in infinite series form, or else evaluated numerically. Some of the results obtained for converging and diverging flows are displaced and they are demonstrated to be plausible and informative.
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3915862
zbMATH Keywords: convergence to creeping flow solution
zbMATH Keywords: low Reynolds-number
zbMATH Keywords: axi-symmetric flow
zbMATH Keywords: laminar flow
zbMATH Keywords: flow between two, stationary, conical-boundaries
zbMATH Keywords: common apex
zbMATH Keywords: arbitrary angles
zbMATH Keywords: flow pattern
zbMATH Keywords: pressure field
zbMATH Keywords: spherical coordinate system
zbMATH Keywords: asymptotic series
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3915862