求解两平行板间三级流体磁流体力学流动问题的半解析法与数值法的比较

IF 0.3 Q4 MULTIDISCIPLINARY SCIENCES Momona Ethiopian Journal of Science Pub Date : 2022-12-26 DOI:10.4314/mejs.v14i2.4
Lawal O. W, Erinle-Ibrahim L. M, Okunoye O. S
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引用次数: 0

摘要

本研究的主要目的是比较半解析方法和数值方法,即同伦摄动法(HPM)和有限差分法(FDM)。这些方法用于求解两平行板间三级流体的磁流体动力学(MHD)库埃特流动的非线性问题。将HPM和FDM的解与常规扰动的解进行了比较,并将结果制成表格。从计算的角度来看,HPM比FDM更可靠和有效。此外,结果表明,FDM比HPM需要更多的计算量,尽管HPM比FDM产生更准确的结果。
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A Comparison of the Semi Analytical and Numerical Method in Solving the Problem of Magnetohydrodynamics Flow of a Third Grade Fluid between Two Parallel Plates
The main purpose of this study is to compare a semi-analytical method and numerical method namely the homotopy perturbation method (HPM) and finite difference method (FDM) respectively. These methods were employed for solving the nonlinear problem of the magnetohydrodynamic (MHD) couette flow of third-grade fluid between the two parallel plates. The comparison was made between a solution of HPM and FDM against a solution obtained from regular perturbation and the results are tabulated. From a computational viewpoint, it is revealed that the HPM is more reliable and efficient than FDM. Also, the results show that the FDM requires slightly more computational effort than the HPM, although the HPM yields more accurate results than the FDM.  
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来源期刊
Momona Ethiopian Journal of Science
Momona Ethiopian Journal of Science MULTIDISCIPLINARY SCIENCES-
自引率
0.00%
发文量
13
审稿时长
12 weeks
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