A Modified Homotopy Perturbation Transform Method for Transient Flow of a Third Grade Fluid in a Channel with Oscillating Motion on the Upper Wall | Zendy

Mohammed Abdulhameed | Zendy; Rozaini Roslan | Zendy; Mahathir bin Mohamad | Zendy

Open Access

A Modified Homotopy Perturbation Transform Method for Transient Flow of a Third Grade Fluid in a Channel with Oscillating Motion on the Upper Wall

Author(s) -

Mohammed Abdulhameed,

Rozaini Roslan,

Mahathir bin Mohamad

Publication year - 2014

Publication title -

journal of computational engineering

Language(s) - English

Resource type - Journals

eISSN - 2356-7260

pISSN - 2314-6443

DOI - 10.1155/2014/102197

Subject(s) - laplace transform , homotopy perturbation method , perturbation (astronomy) , mathematics , nonlinear system , transient (computer programming) , homotopy analysis method , homotopy , inverse laplace transform , fluid motion , channel (broadcasting) , mathematical analysis , algorithm , mechanics , computer science , physics , telecommunications , quantum mechanics , pure mathematics , operating system

A new analytical algorithm based on modified homotopy perturbation transform method is employed for solving the transient flow of third grade fluid in a porous channel generated by an oscillating upper wall. This method incorporates the He’s polynomial into the HPM, combined with Laplace transform. Comparison with HPM and OHAM analytical solutions reveals that the proposed algorithm is highly accurate. This proves the validity and great potential of the proposed algorithm as a new kind of powerful analytical tool for transient nonlinear problems. Graphs representing the solutions are discussed, and appropriate conclusions are drawn

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