Application of novel method to withdrawal of thin film flow of a magnetohydrodynamic third grade fluid

IF 6 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Ain Shams Engineering Journal Pub Date : 2024-07-14 DOI:10.1016/j.asej.2024.102885

Hijaz Ahmad , Rashid Nawaz , Faisal Zia , Muhammad Farooq , Bandar Almohsen

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引用次数: 0

Abstract

In this work, we examine thin film flow of a non-Newtonian third-grade fluid flowing on a vertical moving belt. The modelled differential equation is solved using the Homotopy perturbation method and the Optimal axillary functions method. The solutions obtained by the proposed methods are compared through graphs and tables. Results reveal the efficiency, reliability, and fast convergence of both methods as the obtained solutions are in close agreement. The effect of different flow parameters for velocity profile, flow rate, and shear stress on the belt is also investigated. HPM and OAFM are particularly effective in solving nonlinear differential equations compared to some traditional numerical methods. OAFM is specifically useful in solving nonlinear boundary value problems. Both methods offer a flexible and efficient approximate solution for complex systems described by nonlinear differential equations and have a wide range of applications in heat conduction, fluid dynamics and structural mechanics

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应用新方法提取磁流体第三级流体的薄膜流

在这项工作中，我们研究了在垂直运动带上流动的非牛顿第三级流体的薄膜流动。模拟微分方程采用同调扰动法和最优轴函数法求解。通过图形和表格对所提方法得到的解进行了比较。结果表明，这两种方法都高效、可靠、收敛速度快，得到的解也非常接近。此外，还研究了速度剖面、流速和剪应力等不同流动参数对传送带的影响。与一些传统数值方法相比，HPM 和 OAFM 在求解非线性微分方程方面尤为有效。OAFM 特别适用于解决非线性边界值问题。这两种方法都能为非线性微分方程描述的复杂系统提供灵活高效的近似解法，在热传导、流体力学和结构力学中有着广泛的应用。

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来源期刊

Ain Shams Engineering Journal Engineering-General Engineering

CiteScore

10.80

自引率

13.30%

发文量

441

审稿时长

49 weeks

期刊介绍： in Shams Engineering Journal is an international journal devoted to publication of peer reviewed original high-quality research papers and review papers in both traditional topics and those of emerging science and technology. Areas of both theoretical and fundamental interest as well as those concerning industrial applications, emerging instrumental techniques and those which have some practical application to an aspect of human endeavor, such as the preservation of the environment, health, waste disposal are welcome. The overall focus is on original and rigorous scientific research results which have generic significance. Ain Shams Engineering Journal focuses upon aspects of mechanical engineering, electrical engineering, civil engineering, chemical engineering, petroleum engineering, environmental engineering, architectural and urban planning engineering. Papers in which knowledge from other disciplines is integrated with engineering are especially welcome like nanotechnology, material sciences, and computational methods as well as applied basic sciences: engineering mathematics, physics and chemistry.