A unified variational theory of hybrid problems for fully 3-D transonic rotor-flow with shocks. I: Potential flow
type: Item
instance of: scholarly article
title: A unified variational theory of hybrid problems for fully 3-D transonic rotor-flow with shocks. I: Potential flow
zbMATH Open document ID: 0846.76038
DOI: 10.1007/BF01177339
author: Yanyan Li
published in: Acta Mechanica
publication date: 1996-05-22T00:00:00Z
review text: The unified variable-domain variational theory of hybrid problems for rotor-flow is extended to fully three-dimensional transonic rotor-flows with shocks, unifying and generalizing the direct and inverse problems. Three variational principle (VP) families together with a general form of generalized VPs have been established, taking distributed suction and/or blowing along blade- and annular walls into account. All unknown boundaries are successfully handled via functional variations with variable domain, converting almost all boundary and interface conditions, including the Rankine-Hugoniot shock relations, into natural ones. This theory provides a series of novel ways for blade design and a theoretical basis for finite element applications.
Mathematics Subject Classification ID: 76H05
Mathematics Subject Classification ID: 76M30
zbMATH DE Number: 880761
zbMATH Keywords: variational principle families
zbMATH Keywords: Rankine-Hugoniot shock relations
zbMATH Keywords: blade design
zbMATH Keywords: finite element applications
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01177339
OpenAlex ID: W2045127494
description: scientific article; zbMATH DE number 880761