Semi-analytical study for Jeffery-Hamel flow using Shehu HPM and Elzaki HPM – A comparative study

Via this study, a discussion about Jeffery-Hamel fluid flow is provided, including fluid flow in converging/diverging channels, influenced by Reynolds number and Hartmann number. Two innovative semi-analytical techniques are introduced, referred to as the Shehu-HPM and Elzaki-HPM methods, to analyze the solution profiles of a model governing Jeffrey-Hamel fluid flow. These methods are developed by combining the Shehu transform with the Homotopy Perturbation Method (HPM), referred to as Method I, and the Elzaki transform with HPM, referred to as Method II. The performance of these techniques is evaluated under varying parameters, including the Reynolds number and the Hartmann number. These approaches are straightforward to implement and avoid the errors typically associated with discretization or quasi-linearization. Given the increasing demand for reliable solutions to fluid mechanics models, the proposed methods offer a valuable and practical alternative for solving such problems. Their simplicity and accuracy make them particularly suitable for a wide range of applications in this field. The novelty of this work lies in the hybridization of Shehu and Elzaki transforms with HPM, addressing gaps in the latest literature by providing novel techniques to address complex nonlinear fluid flow problems with improved accuracy and efficiency.

کلیدواژه ها:

Shehu HPM ، Elzaki HPM ، Jefferey-Hamel fluid flow