文章基本信息

标题：Solutions with Wright functions for time fractional convection flow near a heated vertical plate
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作者：Abdul Shakeel ; Sohail Ahmad ; Hamid Khan 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2016
卷号：2016
期号：1
页码：51
DOI：10.1186/s13662-016-0775-9
语种：English
出版社：Hindawi Publishing Corporation
摘要：We investigate the unsteady flow of a viscous fluid near a vertical heated plate. The momentum and energy equations are considered as fractional differential equations with respect to the time t. Solutions of the initial-boundary values problem are determined by means of the Laplace transform technique and are represented by means of the Wright functions. The fundamental solution for the temperature field is obtained. This allows obtaining the temperature field for different conditions on the wall temperature. A numerical case is analyzed in order to obtain information regarding the influence of the fractional parameters on the temperature and velocity fields. Some physical aspects of the fluid behavior are presented by graphical illustrations.
关键词：Unsteady free convection flow ; viscous fluid ; time-fractional derivatives