In this study, a simple and high accurate seriesbased method called differential transformation method (DTM) is used for solving the coupled nonlinear differential equations in fluids’ mechanic problems. The concept of the DTM is briefly introduced, and its application for two different cases, natural convection of a non-Newtonian fluid between two vertical plates and Newtonian fluid flow between two horizontal plates, has been studied. DTM results are compared with those obtained by another series-based analytical technique namely homotopy perturbation method (HPM) and a numerical solution (Fourthorder Runge–Kutta) to show the accuracy of the proposed method. Results reveal that DTM is very effective and convenient and can achieve more suitable results compared to HPM in some areas of equations in engineering and science problems
کلید واژگان :Coupled nonlinear differential equations · Differential transformation method · Homotopy perturbation method · Natural convection · Newtonian and non-Newtonian fluids
ارزش ریالی : 600000 ریال
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جزئیات مقاله
- کد شناسه : 1148350567965375
- سال انتشار : 2016
- نوع مقاله : پذیرفته شده در مجلات Scopus ,ISI با 4>IF>
- زبان : انگلیسی
- محل پذیرش : Journal of the Brazilian Society of Mechanical Sciences and Engineering
- IF مجله : 0.963
- ISSN : 1678-5878
- تاریخ ثبت : 1395/10/15 08:24:39
- ثبت کننده : نامشخص
- تعداد بازدید : 205
- تعداد فروش : 0