Open AccessA New Technique to Solve Two-Dimensional Viscous Fluid Flow Among Slowly Expand or Contract Walls
Author(s) -
AbdulSattar J. AlSaif,
Takia Ahmed J. AlGriffi
Publication year - 2020
Publication title -
mathematical modelling and engineering problems/mathematical modelling of engineering problems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.26
H-Index - 11
eISSN - 2369-0747
pISSN - 2369-0739
DOI - 10.18280/mmep.070416
Subject(s) - viscous liquid , homotopy perturbation method , homotopy , flow (mathematics) , computer science , perturbation (astronomy) , viscous flow , mathematical optimization , mathematics , homotopy analysis method , mechanics , physics , quantum mechanics , pure mathematics
In this research, we have proposed a new technique to solve two-dimensional (2D) viscous fluid flow among slowly expanding or contracting walls. The new technique depends on combining the algorithms of Yang transform and the homotopy perturbation methods. The results, obtained from the first iteration and by using the new method, show the accuracy and efficiency of this method compared to the other methods, used to find the analytical approximate solution for the problem caused by the 2D viscous fluid flow. Moreover, the graphs of the new solutions show the validity, usefulness and necessity of the new method.