Propulsion and Power Research ( IF 5.3 ) Pub Date : 2019-02-13 , DOI: 10.1016/j.jppr.2019.01.003 Inayat Ullah , M.T. Rahim , Hamid Khan , Mubashir Qayyum
In this article comparative analysis of various semi-numerical schemes has been made for the case of squeezing flow of an incompressible viscous fluid between two large parallel plates having no-slip at the boundaries. The medium of flow contains magnetohydrodynamic (MHD) effect and having small pores. Modeled boundary value problem is solved analytically using Optimal homotopy asymptotic method (OHAM), homotopy perturbation method (HPM), differential transform method (DTM), Daftardar Jafari method (DJM) and Adomian decomposition method (ADM). For comparison purpose, residuals of these schemes have been found and analyzed for accuracy. Analytical study indicates that DTM and DJM are quite good in term of accuracy near the center of domain [−1, 1] but the accuracy reduces considerably near the start and end of the given interval. HPM and OHAM residuals indicate that OHAM surpasses HPM in terms of accuracy in the present case.
中文翻译:
磁流体动力学(MHD)挤压多孔介质中流体流动的各种半数值方案分析
在这篇文章中,对于在边界处没有滑动的两个大的平行板之间挤压不可压缩粘性流体的情况,已经对各种半数值方案进行了比较分析。流动介质包含磁流体动力学(MHD)效应并且具有小孔。使用最佳同伦渐近方法(OHAM),同伦摄动方法(HPM),微分变换方法(DTM),Dafdardar Jafari方法(DJM)和Adomian分解方法(ADM)解析地解决了建模的边值问题。为了进行比较,已找到这些方案的残差并进行了准确性分析。分析研究表明,DTM和DJM在接近域中心[-1,1]方面的准确性非常好,但是在给定间隔的开始和结束附近,准确性大大降低。