The steady laminar flow of an elastico-viscous liquid in a curved pipe of varying elliptic cross-section
type: Item
instance of: scholarly article
title: The steady laminar flow of an elastico-viscous liquid in a curved pipe of varying elliptic cross-section
zbMATH Open document ID: 0905.76007
DOI: 10.1016/S0895-7177(97)00135-0
author: V. B. Sarin
published in: Mathematical and Computer Modelling
publication date: 1999-02-02T00:00:00Z
review text: We study a fully developed steady laminar flow of idealized elastico-viscous fluid through a curved tube with elliptic cross-section. The axes of the ellipse are placed in an arbitrary position with respect to the radius of curvature, and the cross-sectional area varies slowly with the longitudinal distance. A perturbation scheme in terms of Dean number and a nonuniform curvature parameter is applied to determine the effects of: (i) the nonuniformity of the curvature, (ii) the shape of the cross-section of the curved pipe, and (iii) the arbitrary positioning of the elliptic cross-section relative to the radius of curvature of the curved pipe.
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 76Z05
Mathematics Subject Classification ID: 92C10
Mathematics Subject Classification ID: 74F10
zbMATH DE Number: 1135911
zbMATH Keywords: maximum shear stress
zbMATH Keywords: thoracic aorta
zbMATH Keywords: perturbation scheme
zbMATH Keywords: Dean number
zbMATH Keywords: nonuniform curvature parameter
MaRDI profile type: Publication
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full work available at URL: s0895-7177(97)00135-0
OpenAlex ID: W2153382933
description: scientific article; zbMATH DE number 1135911