An approximate solution for the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model using the Adomian decomposition method

Qiang Yu; J. Song; F. Liu; V. Anh; Ian W Turner

doi:10.1260/174830109789621310

$An approximate solution for the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model using the Adomian decomposition method$

Journal article

Peer reviewed

PUBLISHED

An approximate solution for the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model using the Adomian decomposition method

Qiang Yu, J. Song, F. Liu, V. Anh and Ian W Turner

Journal of Algorithms & Computational Technology, Vol.3(4), pp.553-572

2009

DOI: https://doi.org/10.1260/174830109789621310

Abstract

generalized second grade fluid

fractional calculus

Rayleigh-Stokes problem

Adomian decomposition method

The Rayleigh-Stokes problem for a generalized second grade fluid subject to a flow on a heated flat plate and within a heated edge is investigated. Fractional calculus is used for description of such a viscoelastic fluid. We employ the Adomian decomposition method to construct an approximate solution. Some examples are presented to show the efficiency and simplicity of the method.

Details

Title: An approximate solution for the Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model using the Adomian decomposition method
Authors: Qiang Yu (Author) - Fuzhou University
J. Song (Author) - Fuzhou University
F. Liu (Corresponding Author) - Queensland University of Technology
V. Anh (Author) - Queensland University of Technology
Ian W Turner (Author) - Queensland University of Technology
Publication details: Journal of Algorithms & Computational Technology, Vol.3(4), pp.553-572
Publisher: Sage Publications Ltd.
Date published: 2009
DOI: 10.1260/174830109789621310
ISSN: 1748-3026
Grants: Stochastic modelling of spatiotemporal nonlinear diffusion processes with multifractal characteristics, DP0559807, Australian Research Council (Australia, Canberra) - ARC
A multi-scale approach for modelling coupled transport in heterogeneous and anisotropic porous media, DP0986766, Australian Research Council (Australia, Canberra) - ARC
Grant note: National Natural Science Foundation of China grant 10271098
Organisation Unit: Thompson Institute
Language: English
Record Identifier: 991266894002621
Output Type: Journal article

Metrics

1 Record Views

7 Times Cited - Web of Science

InCites Highlights

These are selected metrics from InCites Benchmarking & Analytics tool, related to this output

Collaboration types: Domestic collaboration; International collaboration
Web Of Science research areas: Computer Science, Interdisciplinary Applications

UN Sustainable Development Goals (SDGs)

This output has contributed to the advancement of the following goals:

Source: SDGs from InCites