Numerical Investigation of Thin Film Flow of a Third-Grade Fluid on a Moving Belt Using Evolutionary Algorithm-Based Heuristic Technique

被引：1

作者：

Subhan, Fazal ^{[1
]}

Malik, Suheel Abdullah ^{[2
]}

Khan, Muhammad Asghar ^{[3
]}

Aziz, Muhammad Adnan ^{[1
]}

Uddin, M. Irfan ^{[4
]}

Ullah, Insaf

机构：

[1] Isra Univ Islamabad Campus, Dept Elect Engn, Sch Engn & Appl Sci SEAS, Islamabad, Pakistan

[2] Int Islamic Univ, Dept Elect Engn, Fac Engn & Technol, Islamabad, Pakistan

[3] Hamdard Inst Engn & Technol, Islamabad 44000, Pakistan

[4] Kohat Univ Sci & Technol, Inst Comp, Kohat, Pakistan

来源：

JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS | 2022年 / 31卷 / 01期

基金：

新加坡国家研究基金会;

关键词：

Thin film flow; Bernstein polynomials; non-newtonian fluid (NNF); genetic algorithm; fluid mechanics; third-grade fluid; 3RD GRADE FLUID; SLIP; MHD;

D O I：

10.1142/S0218126622500116

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper presents a stochastic heuristic approach to solve numerically nonlinear differential equation (NLDE) governing the thin film flow of a third-grade fluid (TFF-TGF) on a moving belt. Moreover, the impact on velocity profile due to fluid attribute is also investigated. The estimate solution of the given NLDE is achieved by using the linear combination of Bernstein polynomials with unknown constants. A fitness function is deduced to convert the given NLDE along with its boundary conditions into an optimization problem. Genetic algorithm (GA) is employed to optimize the values of unknown constants. The proposed approach provided results in good agreement with numerical values taken by Runge-Kutta and more accurate than two popular classical methods including Adomian Decomposition Method (ADM) and Optimal Homotopy Asymptotic Method (OHAM). The error is minimized 10(-1) times to 10(-2) times.

引用

页数：13

共 27 条

[21] Numerical analysis of radiative MHD gravity-driven thin film third-grade fluid flow with exothermic reaction and modified Darcy’s law on an inclined plane
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Mechanics of Time-Dependent Materials, 2025, 29 (1)
[22] Application of the Homotopy Analysis Method (HAM) to Thin Film Flow of a Generalized Second-Grade Fluid on a Vertically Moving Belt
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[23] A study of thin film flow of an Oldroyd 8-constant fluid on a moving belt using variational iteration approach
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[24] Numerical investigation on transient third-grade magnetized nanofluid flow and radiative convection heat transfer from a stationary/moving cylinder: nanomaterial and nanoparticle shape effects
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WAVES IN RANDOM AND COMPLEX MEDIA, 2022,
[25] Thin Film Flow in MHD Third Grade Fluid on a Vertical Belt with Temperature Dependent Viscosity (vol 9, e97552, 2014)
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PLOS ONE, 2014, 9 (10):
[26] A note on thin-film flow of Eyring-Powell fluid on the vertically moving belt using successive linearization method
Salah, Faisal
Alzahrani, A. K.
Sidahmed, Abdelmgid O. M.
Viswanathan, K. K.
INTERNATIONAL JOURNAL OF ADVANCED AND APPLIED SCIENCES, 2019, 6 (02): : 17 - 22
[27] Solution of steady thin film flow of Johnson-Segalman fluid on a vertical moving belt for lifting and drainage problems using Adomian Decomposition Method
Alam, M. Kamran
Rahim, M. T.
Haroon, T.
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APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (21) : 10413 - 10428

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