TY - JOUR
T1 - Homotopy perturbation method for thin film flow of a fourth grade fluid down a vertical cylinder
AU - Siddiqui, A. M.
AU - Mahmood, R.
AU - Ghori, Q. K.
PY - 2006/4/3
Y1 - 2006/4/3
N2 - The present Letter applies the homotopy perturbation method and the traditional perturbation method to obtain analytic approximations of the non-linear equations modeling thin film flow of a fourth grade fluid falling on the outer surface of an infinitely long vertical cylinder. Expressions for the velocity, volume flux and average velocity are obtained. Comparison of the results obtained by the two methods reveal that homotopy perturbation method is more effective and easy to use.
AB - The present Letter applies the homotopy perturbation method and the traditional perturbation method to obtain analytic approximations of the non-linear equations modeling thin film flow of a fourth grade fluid falling on the outer surface of an infinitely long vertical cylinder. Expressions for the velocity, volume flux and average velocity are obtained. Comparison of the results obtained by the two methods reveal that homotopy perturbation method is more effective and easy to use.
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U2 - 10.1016/j.physleta.2005.12.033
DO - 10.1016/j.physleta.2005.12.033
M3 - Article
AN - SCOPUS:33644969399
SN - 0375-9601
VL - 352
SP - 404
EP - 410
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 4-5
ER -