A Modified Homotopy Perturbation Transform Method for Transient Flow of a Third Grade Fluid in a Channel with Oscillating Motion on the Upper Wall. (17th July 2014)

• Record Type: Journal Article
• Authors: Abdulhameed, Mohammed; Roslan, Rozaini; Bin Mohamad, Mahathir
• Other Names: Kleinstreuer Clement Academic Editor.
• Is Part Of: Journal of computational engineering. Volume 2014(2014)
• Publication Date: 2014-07-17
• Subjects: Engineering mathematics -- Periodicals; Engineering -- Mathematical models -- Periodicals; Engineering -- Mathematical models; Engineering mathematics; Periodicals; 620.00285
• DOI: 10.1155/2014/102197
• Languages: English
• ISSNs: 2356-7260

Abstract

Abstract : 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.