Multiple laminar flows through curved pipes
type: Item
instance of: scholarly article
title: Multiple laminar flows through curved pipes
zbMATH Open document ID: 0601.76028
DOI: 10.1016/0168-9274(86)90032-2
published in: Applied Numerical Mathematics
publication date: 1986-01-01T00:00:00Z
review text: The Dean problem of steady viscous flow through a coiled circular pipe is studied numerically for a large range of Dean number and for several coiling ratios. We find that the solution family, as parameterized by Dean number, has numerous folds or limit points. Four folds and hence five branches of solutions are found. We speculate that infinitely many solutions can exist in this family for some fixed value(s) of D. More resolution and higher accuracy would be required to justify our conjecture and to find the rule of formation of new solution branches.
Mathematics Subject Classification ID: 76D10
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 3970305
zbMATH Keywords: multiple laminar flows
zbMATH Keywords: truncation
zbMATH Keywords: Fourier series expansion
zbMATH Keywords: Dean problem
zbMATH Keywords: steady viscous flow
zbMATH Keywords: coiled circular pipe
zbMATH Keywords: solution family
zbMATH Keywords: branches of solutions
author: ZhongHua Yang
author: Herbert B. Keller
MaRDI profile type: Publication
full work available at URL: 0168-9274(86)90032-2
OpenAlex ID: W2086973775
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cites work: Q3703206
cites work: The Von Karman Swirling Flows
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cites work: A bifurcation study of laminar flow in a curved tube of rectangular cross-section
description: scientific article; zbMATH DE number 3970305