کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10142737 | 1646110 | 2018 | 26 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
An analysis of the semi-analytic solutions of a viscous fluid with old and new definitions of fractional derivatives
ترجمه فارسی عنوان
تجزیه و تحلیل راه حل های نیمه تحلیلی یک مایع غلیظ با تعریف های قدیمی و جدید مشتقات کسری
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
فیزیک و نجوم
فیزیک اتمی و مولکولی و اپتیک
چکیده انگلیسی
In this paper we present the natural convection flow of an incompressible viscous fluid subject to Newtonian heating and constant mass diffusion using a recently developed definition of the Caputo-Fabrizio fractional derivative. Boundary layer equations in dimensionless form are obtained by means of dimensionless variables. The expressions for the temperature, concentration and velocity fields are obtained in the Laplace transformed domain. The inverse Laplace transform for the temperature, concentration and velocity field are found numerically by means of Stehfest's and Tzou's algorithms. A comparative analysis has been carried between the Caputo-Fabrizio and the Caputo fractional model obtained by Vieru (2015) through graphical illustration. At the end, we can see the impact of the flow parameters, including the new fractional parameter, on the flow which is presented graphically. As a result, the fractional viscous fluid model with the Caputo-Fabrizio fractional derivative has a higher velocity than with the Caputo.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chinese Journal of Physics - Volume 56, Issue 5, October 2018, Pages 1853-1871
Journal: Chinese Journal of Physics - Volume 56, Issue 5, October 2018, Pages 1853-1871
نویسندگان
M.A. Imran, Shakila Sarwar, M. Abdullah, I. Khan,