使用 OHAM 和 NIM 对耦合应力流体流动的比较研究

IF 1.8 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY
Muhammad Farooq, Rashid Nawaz, Alamgeer Khan, Bakri Adam Younis, Fathi Mohammed DawAlbait, Gamal M. Ismail
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引用次数: 0

摘要

本文采用最优同调渐近法(OHAM)和新迭代法(NIM)研究了在非等温效应影响下两平行板间 Vogel 模型耦合应力流体的平面 Poiseuille 流动。理事连续性方程和动量方程被转换为常微分方程,然后使用上述方法对耦合微分方程系进行了探讨。利用上述方法获得了速度剖面、温度分布、平均速度、体积流量和剪应力的表达式。对各种基本流动特性进行了介绍和讨论。通过这些技术获得的结果是无穷级数形式的,因此可以毫不费力地计算出结果。在不同表格和图表的帮助下,对两种技术进行了比较,发现这两种方法非常一致。因此,对于研究人员来说,将提出的方法应用于流体动力学中出现的各种问题将更具吸引力。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Comparative study of couple stress fluid flow using OHAM and NIM
In this article, the plane Poiseuille flow of couple stress fluid of Vogel’s model between two parallel plates under the influence of non-isothermal effects have been investigated using Optimal homotopy asymptotic method (OHAM) and New iterative method (NIM). The governing continuity and momentum equations are transformed to ordinary differential equations and the coupled system of differential equations is then explored using the said methods. The expressions for velocity profile, temperature distribution, average velocity, volume flux, and shear stress have been obtained employing the said methods. Various essential flow properties have been presented and discussed. The results acquired via these techniques are in the form of infinite series; thus, the results can be effortlessly calculated. Comparison of both techniques are illustrated with the help of different tables and graphs and found both methods to be in a good agreement. Consequently, it will be more appealing for the investigators to apply the proposed methods to diverse problems arising in fluid dynamics.
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来源期刊
Open Physics
Open Physics PHYSICS, MULTIDISCIPLINARY-
CiteScore
3.20
自引率
5.30%
发文量
82
审稿时长
18 weeks
期刊介绍: Open Physics is a peer-reviewed, open access, electronic journal devoted to the publication of fundamental research results in all fields of physics. The journal provides the readers with free, instant, and permanent access to all content worldwide; and the authors with extensive promotion of published articles, long-time preservation, language-correction services, no space constraints and immediate publication. Our standard policy requires each paper to be reviewed by at least two Referees and the peer-review process is single-blind.
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