An advanced study on the solution of nanofluid flow problems via Adomian’s method

Nanofluid flow is one of the most important areas of research at the present time due to its wide and significant applications in industry and several scientific fields. The boundary layer flow of nanofluids is usually described by a system of nonlinear differential equations with boundary condition...

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Bibliographic Details
Published in:Applied mathematics letters 2015-08, Vol.46, p.117-122
Main Authors: Ebaid, Abdelhalim, Aljoufi, Mona D., Wazwaz, A.M.
Format: Article
Language:English
Subjects:
Adomian decomposition method
Boundary layer
Nanofluid
Stretching sheet
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Summary:Nanofluid flow is one of the most important areas of research at the present time due to its wide and significant applications in industry and several scientific fields. The boundary layer flow of nanofluids is usually described by a system of nonlinear differential equations with boundary conditions at infinity. These boundary conditions at infinity cause difficulties for any of the series method, such as Adomian’s method, the variational iteration method and others. The objective of the present work is to introduce a reliable method to overcome such difficulties that arise due to an infinite domain. The proposed scheme, that we will introduce, is based on Adomian’s decomposition method, where we will solve a system of nonlinear differential equations describing the boundary layer flow of a nanofluid past a stretching sheet.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2015.02.017