Abstract
This paper shows the analysis of the thin film flow of fourth-grade fluid on the outer side of a vertical cylinder. Solution of the governing nonlinear equation is obtained by Rational Homotopy Perturbation Method (RHPM); comparison with exact solution reflects the reliability of the method. Analysis shows that this method is reliable for even high nonlinearity. Graphs and tables strengthen the idea.
Highlights
A number of new and modified techniques have been introduced by various scientists which subsequently proved extremely useful to tackle various nonlinear problems of diversified physical nature
Homotopy Perturbation Method (HPM) is developed by the coupling of Homotopy and perturbation is very useful for solving nonlinear problems [2,3,4,5,6,7,8,9,10,11,12,13,14,15,16]
The literature reveals that Jalaal et al applied Homotopy Perturbation Method to find the velocity profile of a spherical solid particle in plane Couette fluid flow [2]
Summary
A number of new and modified techniques have been introduced by various scientists which subsequently proved extremely useful to tackle various nonlinear problems of diversified physical nature. Ganji et al [20, 21] solved nonlinear equations arising in heat transfer by applying the coupling of Homotopy and perturbation. Inspired and motivated by the ongoing research in this area, we apply a relatively new modified version of Homotopy Perturbation Method which is called Rational Homotopy Perturbation Method (RHPM) [24] on the thin film flow of fourth-grade fluid coupled with slip effect. RHPM is applicable on the mathematical models derived from nature like Stiff system of equations [24], transient of nonlinear circuits [19], and heat transfer problems (see [19,20,21,22,23,24] and the references therein)
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