New Analytical and Numerical Solutions for Mixed Convection Boundary-Layer Nanofluid Flow along an Inclined Plate Embedded in a Porous Medium
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-25
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Two different analytical and numerical methods have been applied to solve the system describing the mixed convection boundary-layer nanofluids flow along an inclined plate embedded in a porous medium, namely, homotopy perturbation method (HPM) and Chebyshev pseudospectral differentiation matrix (ChPDM), respectively.
Further, ChPDM is used as a control method to check the accuracy of the results obtained by HPM.
The analytical method is applied using a new way for the deformed equations, and the resulted solution was expressed in terms of a well-known entire error function.
In addition, using only two terms of the homotopy series, the approximate analytical solution is compared with the numerical solution obtained by the accurate ChPDM approach.
The results reveal that good agreements have been achieved between the two approaches for various values of the investigated physical parameters.
American Psychological Association (APA)
Aly, Emad H.& Ebaid, Abdelhalim. 2013. New Analytical and Numerical Solutions for Mixed Convection Boundary-Layer Nanofluid Flow along an Inclined Plate Embedded in a Porous Medium. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-455609
Modern Language Association (MLA)
Aly, Emad H.& Ebaid, Abdelhalim. New Analytical and Numerical Solutions for Mixed Convection Boundary-Layer Nanofluid Flow along an Inclined Plate Embedded in a Porous Medium. Journal of Applied Mathematics No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-455609
American Medical Association (AMA)
Aly, Emad H.& Ebaid, Abdelhalim. New Analytical and Numerical Solutions for Mixed Convection Boundary-Layer Nanofluid Flow along an Inclined Plate Embedded in a Porous Medium. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-455609
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455609