Oscillating flow of a viscoelastic fluid in a pipe with the fractional Maxwell model
type: Item
instance of: scholarly article
title: Oscillating flow of a viscoelastic fluid in a pipe with the fractional Maxwell model
zbMATH Open document ID: 1105.76009
author: Youbing Yin
author: Keqin Zhu
published in: Applied Mathematics and Computation
publication date: 2006-05-16T00:00:00Z
review text: The authors examine the unidirectional oscillating flow of a viscoelastic fluid using the fractional Maxwell model. By utilizing a Fourier transform, they obtain exact solutions and then discuss the velocity enhancement of this fractional Maxwell model through comparison with the classical model. It has been found that there are some similarities between the models. For example, the resonance phenomenon similar to the Maxwell model also exists in the case of fractional Maxwell model. However, there are also significant differences. So, the number of resonance peaks in the same frequency region, the amplitudes of the enhancement and the resonant frequencies are totally different.
Mathematics Subject Classification ID: 76A10
zbMATH DE Number: 5023452
zbMATH Keywords: Fourier transform
zbMATH Keywords: velocity enhancement
zbMATH Keywords: resonance
reviewed by: H. Ramkissoon
MaRDI profile type: Publication
full work available at URL: j.amc.2005.04.001
OpenAlex ID: W2131585764
cites work: Resonance behavior of viscoelastic fluids in Poiseuille flow and application to flow enhancement
cites work: Applications of fractional calculus in physics
cites work: Anomalous stability behavior of a properly invariant constitutive equation which generalises fractional derivative models
cites work: A note on unsteady flows of a viscoelastic fluid with the fractional Maxwell model between two parallel plates
cites work: Periodic unidirectional flows of a viscoelastic fluid with the fractional Maxwell model.
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
DOI: 10.1016/J.AMC.2005.04.001
description: scientific article