FRACTIONAL MODEL OF SECOND GRADE FLUID INDUCED BY GENERALIZED THERMAL AND MOLECULAR FLUXES WITH CONSTANT PROPORTIONAL CAPUTO

被引:10
|
作者
Chu, Yu-Ming [1 ,2 ]
Ahmad, Mushtaq [3 ]
Asjad, Muhammad Imran [4 ]
Baleanu, Dumitru [5 ]
机构
[1] Huzhou Univ, Dept Math, Huzhou, Peoples R China
[2] Changsha Univ Sci & Technol, Hunan Prov Key Lab Math Modeling & Anal Engn, Changsha, Peoples R China
[3] Bahauddin Zakariya Univ, Ctr Adv Studies Pure & Appl Math, Multan, Pakistan
[4] Univ Management & Technol, Dept Math, Lahore, Pakistan
[5] Cankaya Univ, Dept Math, Ankara, Turkey
来源
THERMAL SCIENCE | 2021年 / 25卷 / SpecialIssue 2期
关键词
constant proportional Caputo fractional derivative; natural convection; heat transfer; vertical geometry; analytical solution; FREE-CONVECTION FLOW; VERTICAL PLATE; SUBJECT;
D O I
10.2298/TSCI21S2207C
中图分类号
O414.1 [热力学];
学科分类号
摘要
In this research article, the constant proportional Caputo approach of fractional derivative is applied to derive the generalized thermal and molecular profiles for flow of second grade fluid over a vertical plate. The governing equations of the prescribed flow model are reduced to dimensionless form and then solved for temperature, concentration, and velocity via Laplace transform. Further graphs of field variables are sketched for parameter of interest. Comparison between present result and the existing results is also presented graphically.
引用
收藏
页码:S207 / S212
页数:6
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