A variational approach to non-steady non-Newtonian flow in a circular pipe
type: Item
instance of: scholarly article
title: A variational approach to non-steady non-Newtonian flow in a circular pipe
zbMATH Open document ID: 0554.76007
DOI: 10.1016/0377-0257(84)85013-2
author: R. S. R. Gorla
author: Peter E. Madden
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 1984-01-01T00:00:00Z
review text: The transient response of a non-Newtonian power-law fluid to several assumed forms of pressure pulse in a circular tube is analysed by the semi-direct variational method of \textit{L. V. Kantovorich} and \textit{V. I. Krylov} [Approximate methods of higher analysis (1958; Zbl 0083.353)]. Velocity profiles are shown for several power-law indices, and by comparing the results for the Newtonian case with the exact solution given by \textit{P. Szymanski} [J. Math. Pures. Appl., IX. Ser. 11, 67-107 (1932; Zbl 0004.08303)], it is observed that the results are good to 5\%.
Mathematics Subject Classification ID: 76A05
zbMATH DE Number: 3883779
zbMATH Keywords: variational methods
zbMATH Keywords: multi-function solutions
zbMATH Keywords: pressure pulse in a circular tube
zbMATH Keywords: semi-direct variational method
MaRDI profile type: Publication
full work available at URL: 0377-0257(84)85013-2
OpenAlex ID: W2009093434
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description: scientific article; zbMATH DE number 3883779