Application of homotopy perturbation and numerical methods to the circular porous slider
Küçük Resim Yok
Tarih
2012
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emerald Group Publishing Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Purpose - The purpose of this paper is to present the problem of three-dimensional flow of a fluid of constant density forced through the porous bottom of a circular porous slider moving laterally on a flat plate. Design/methodology/approach - The transformed nonlinear ordinary differential equations are solved via the homotopy perturbation method (HPM) for small as well as moderately large Reynolds numbers. The convergence of the obtained RPM solution is carefully analyzed. Finally, the validity of results is verified by comparing with numerical methods and existing numerical results. Findings - Close agreement of the two sets of results is observed, thus demonstrating the accuracy of the HPM approach for the particular problem considered. Originality/value - Interesting conclusions which can be drawn from this study are that HPM is very effective and simple compared to the existing solution method, able to solve problems without using Pade approximants and can therefore be considered as a clear advantage over the N.M. Bujurke and Phan-Thien techniques.
Açıklama
Anahtar Kelimeler
Homotopy perturbation method (HPM), Similarity transformation, Circular porous slider, Reynolds number, Finite difference methods, Fourth-order Runge-Kutta, Numerical analysis
Kaynak
International Journal of Numerical Methods For Heat & Fluid Flow
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
22
Sayı
06.Jul
