Exact Solutions of Rayleigh-Stokes Problem for Heated Generalized Maxwell Fluid in a Porous Half-Space

Exact Solutions of Rayleigh-Stokes Problem for Heated Generalized Maxwell Fluid in a Porous Half-Space

The Rayleigh-Stokes problem for a generalized Maxwell fluid in a porous half-space with a heated flat plate is investigated. For the description of such a viscoelastic fluid, a fractional calculus approach in the constitutive relationship model is used. By using the Fourier sine transform and the fr...

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Main Authors: Changfeng Xue, Junxiang Nie
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2008/641431
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spelling doaj-205a1d78c5b64d23bba5b2e96a825dec2020-11-24T20:57:43ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472008-01-01200810.1155/2008/641431641431Exact Solutions of Rayleigh-Stokes Problem for Heated Generalized Maxwell Fluid in a Porous Half-SpaceChangfeng Xue0Junxiang Nie1Department of Fundamental Sciences, Yancheng Institute of Technology, Yancheng, Jiangsu 224003, ChinaDepartment of Mathematics, School of Science, Beijing Jiaotong University, Beijing 100044, ChinaThe Rayleigh-Stokes problem for a generalized Maxwell fluid in a porous half-space with a heated flat plate is investigated. For the description of such a viscoelastic fluid, a fractional calculus approach in the constitutive relationship model is used. By using the Fourier sine transform and the fractional Laplace transform, exact solutions of the velocity and the temperature are obtained. Some classical results can be regarded as particular cases of our results, such as the classical solutions of the first problem of Stokes for Newtonian viscous fluids, Maxwell fluids, and Maxwell fluids in a porous half-space.http://dx.doi.org/10.1155/2008/641431
collection DOAJ
language English
format Article
sources DOAJ
author Changfeng Xue
Junxiang Nie
spellingShingle Changfeng Xue
Junxiang Nie
Exact Solutions of Rayleigh-Stokes Problem for Heated Generalized Maxwell Fluid in a Porous Half-Space
Mathematical Problems in Engineering
author_facet Changfeng Xue
Junxiang Nie
author_sort Changfeng Xue
title Exact Solutions of Rayleigh-Stokes Problem for Heated Generalized Maxwell Fluid in a Porous Half-Space
title_short Exact Solutions of Rayleigh-Stokes Problem for Heated Generalized Maxwell Fluid in a Porous Half-Space
title_full Exact Solutions of Rayleigh-Stokes Problem for Heated Generalized Maxwell Fluid in a Porous Half-Space
title_fullStr Exact Solutions of Rayleigh-Stokes Problem for Heated Generalized Maxwell Fluid in a Porous Half-Space
title_full_unstemmed Exact Solutions of Rayleigh-Stokes Problem for Heated Generalized Maxwell Fluid in a Porous Half-Space
title_sort exact solutions of rayleigh-stokes problem for heated generalized maxwell fluid in a porous half-space
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2008-01-01
description The Rayleigh-Stokes problem for a generalized Maxwell fluid in a porous half-space with a heated flat plate is investigated. For the description of such a viscoelastic fluid, a fractional calculus approach in the constitutive relationship model is used. By using the Fourier sine transform and the fractional Laplace transform, exact solutions of the velocity and the temperature are obtained. Some classical results can be regarded as particular cases of our results, such as the classical solutions of the first problem of Stokes for Newtonian viscous fluids, Maxwell fluids, and Maxwell fluids in a porous half-space.
url http://dx.doi.org/10.1155/2008/641431
work_keys_str_mv AT changfengxue exactsolutionsofrayleighstokesproblemforheatedgeneralizedmaxwellfluidinaporoushalfspace
AT junxiangnie exactsolutionsofrayleighstokesproblemforheatedgeneralizedmaxwellfluidinaporoushalfspace
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