Decay of potential vortex and diffusion of temperature in a generalized Oldroyd-B fluid through a porous medium
type: Item
instance of: scholarly article
title: Decay of potential vortex and diffusion of temperature in a generalized Oldroyd-B fluid through a porous medium
zbMATH Open document ID: 1407.76009
DOI: 10.1155/2014/719464
author: Xiaoyi Guo
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: Based on a modified Darcy law, the decay of potential vortex and diffusion of temperature in a generalized Oldroyd-B fluid with fractional derivatives through a porous medium is studied. Exact solutions of the velocity and temperature fields are obtained in terms of the generalized Mittag-Leffler function by using the Hankel transform and discrete Laplace transform of the sequential fractional derivatives. One of the solutions is the sum of the Newtonian solutions and the non-Newtonian contributions. As limiting cases of the present solutions, the corresponding solutions of the fractional Maxwell fluid and classical Maxwell fluids are given. The influences of the fractional parameters, material parameters, and the porous space on the decay of the vortex are interpreted by graphical results.
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 7017114
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/719464
OpenAlex ID: W1992636219
Wikidata QID: Q59071635
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description: scientific article; zbMATH DE number 7017114