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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

Analytical Solutions of Non-Linear Equations of Power-Law Fluids of Second Grade over an Infinite Porous Plate

by
Saeid Abbasbandy
1,
Muhammet Yürüsoy
2 and
Hüseyin Güllüce
3,*
1
Department of Mathematics, Imam Khomeini International University, Ghazvin751166-91, Iran
2
Department of Mechanical Engineering, Afyon Kocatepe University, Afyon, Turkey
3
Ataturk University, Pasinler Vocational School, Erzurum, Turkey
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2014, 19(2), 124-133; https://doi.org/10.3390/mca19020124
Published: 1 August 2014
Versions Notes

Abstract

The flow of an incompressible fluid of modified second grade past an infinite porous plate subject to either suction or blowing at the plate is studied. The model is a combination of power-law and second grade fluid in which the fluid may exhibit normal stresses, shear thinning or shear thickening behaviors. Equations of motion in dimensionless form are derived. Analytical solutions of the outcoming non-linear differential equations are found by using the homotopy analysis method (HAM), which is a powerful semi-analytical method. Effects of power-law index and second grade coefficient on the boundary layers are shown and solutions are contrasted with the usual second grade fluid solutions.
Keywords: homotopy analysis method; boundary layer; porous plate; non- newtonian fluids homotopy analysis method; boundary layer; porous plate; non- newtonian fluids

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MDPI and ACS Style

Abbasbandy, S.; Yürüsoy, M.; Güllüce, H. Analytical Solutions of Non-Linear Equations of Power-Law Fluids of Second Grade over an Infinite Porous Plate. Math. Comput. Appl. 2014, 19, 124-133. https://doi.org/10.3390/mca19020124

AMA Style

Abbasbandy S, Yürüsoy M, Güllüce H. Analytical Solutions of Non-Linear Equations of Power-Law Fluids of Second Grade over an Infinite Porous Plate. Mathematical and Computational Applications. 2014; 19(2):124-133. https://doi.org/10.3390/mca19020124

Chicago/Turabian Style

Abbasbandy, Saeid, Muhammet Yürüsoy, and Hüseyin Güllüce. 2014. "Analytical Solutions of Non-Linear Equations of Power-Law Fluids of Second Grade over an Infinite Porous Plate" Mathematical and Computational Applications 19, no. 2: 124-133. https://doi.org/10.3390/mca19020124

APA Style

Abbasbandy, S., Yürüsoy, M., & Güllüce, H. (2014). Analytical Solutions of Non-Linear Equations of Power-Law Fluids of Second Grade over an Infinite Porous Plate. Mathematical and Computational Applications, 19(2), 124-133. https://doi.org/10.3390/mca19020124

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