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一种通过使用拉普拉斯变换-同伦摄动法求解两个无限平板间挤压流动的简便近似解。

A handy approximate solution for a squeezing flow between two infinite plates by using of Laplace transform-homotopy perturbation method.

作者信息

Filobello-Nino Uriel, Vazquez-Leal Hector, Cervantes-Perez Juan, Benhammouda Brahim, Perez-Sesma Agustin, Hernandez-Martinez Luis, Jimenez-Fernandez Victor Manuel, Herrera-May Agustin Leobardo, Pereyra-Diaz Domitilo, Marin-Hernandez Antonio, Huerta Chua Jesus

机构信息

Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, 9100 Xalapa, Veracruz Mexico.

Higher Colleges of Technology, Abu Dhabi Men's College, P.O. Box 25035, Abu Dhabi, United Arab Emirates.

出版信息

Springerplus. 2014 Aug 10;3:421. doi: 10.1186/2193-1801-3-421. eCollection 2014.

DOI:10.1186/2193-1801-3-421
PMID:25157331
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC4141937/
Abstract

This article proposes Laplace Transform Homotopy Perturbation Method (LT-HPM) to find an approximate solution for the problem of an axisymmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and therefore LT-HPM is extremely efficient.

摘要

本文提出拉普拉斯变换同伦摄动法（LT-HPM）来求解夹在两个大平行板之间的轴对称牛顿流体问题的近似解。通过比较近似解和精确解的图形，我们将看到所提出的解不仅方便，而且精度很高，因此LT-HPM极其有效。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0bbe/4141937/a8afc9e9de8e/40064_2014_1137_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0bbe/4141937/b9b65aabf0db/40064_2014_1137_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0bbe/4141937/77107b8da3ea/40064_2014_1137_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0bbe/4141937/a8afc9e9de8e/40064_2014_1137_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0bbe/4141937/b9b65aabf0db/40064_2014_1137_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0bbe/4141937/77107b8da3ea/40064_2014_1137_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0bbe/4141937/a8afc9e9de8e/40064_2014_1137_Fig5_HTML.jpg

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