TY - JOUR
T1 - Accurate solution for motion of a spherical solid particle in plane Couette Newtonian fluid mechanical flow using HPM-Padé approximant and the Boubaker polynomials expansion scheme BPES
AU - Torabi, Mohsen
AU - Yaghoobi, Hessameddin
AU - Boubaker, Karem
PY - 2013
Y1 - 2013
N2 - In this paper the analytical solutions for the motion of a spherical particle in a plane Couette Newtonian fluid flow are investigated, by using homotopy perturbation method (HPM) and Padé approximant and the Boubaker polynomials expansion scheme (BPES). The current results are then compared with those derived from HPM and the established fourth order Runge-Kutta method in order to verify the accuracy of the proposed method. It is found that this method can achieve more suitable results compare with HPM.
AB - In this paper the analytical solutions for the motion of a spherical particle in a plane Couette Newtonian fluid flow are investigated, by using homotopy perturbation method (HPM) and Padé approximant and the Boubaker polynomials expansion scheme (BPES). The current results are then compared with those derived from HPM and the established fourth order Runge-Kutta method in order to verify the accuracy of the proposed method. It is found that this method can achieve more suitable results compare with HPM.
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U2 - 10.1016/j.ijheatmasstransfer.2012.11.007
DO - 10.1016/j.ijheatmasstransfer.2012.11.007
M3 - Article
AN - SCOPUS:84870706242
SN - 0017-9310
VL - 58
SP - 224
EP - 228
JO - International Journal of Heat and Mass Transfer
JF - International Journal of Heat and Mass Transfer
IS - 1-2
ER -