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
相关论文
共 50 条
  • [21] A modern approach of Caputo–Fabrizio time-fractional derivative to MHD free convection flow of generalized second-grade fluid in a porous medium
    Nadeem Ahmad Sheikh
    Farhad Ali
    Ilyas Khan
    Muhammad Saqib
    Neural Computing and Applications, 2018, 30 : 1865 - 1875
  • [22] Taylor-Couette flow of a generalized second grade fluid due to a constant couple
    Athar, M.
    Kamran, M.
    Fetecau, C.
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2010, 15 (01): : 3 - 13
  • [23] Generalization of Thermal and Mass Fluxes for the Flow of Differential Type Fluid with Caputo-Fabrizio Approach of Fractional Derivative
    Razzaque, Asima
    Rani, Anam
    Nazar, Mudassar
    COMPLEXITY, 2021, 2021
  • [24] Flow of a generalized second-grade fluid between two side walls perpendicular to a plate with a fractional derivative model
    Khan, Masood
    Wang, Shaowei
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (01) : 203 - 208
  • [25] A modern approach of Caputo-Fabrizio time-fractional derivative to MHD free convection flow of generalized second-grade fluid in a porous medium
    Sheikh, Nadeem Ahmad
    Ali, Farhad
    Khan, Ilyas
    Saqib, Muhammad
    NEURAL COMPUTING & APPLICATIONS, 2018, 30 (06): : 1865 - 1875
  • [26] A Prabhakar fractional approach with generalized fourier law for thermal activity of non-newtonian second-grade type fluid flow: a fractional approach
    Raza, Ali
    Ul Haq, Absar
    Farid, Saadia
    WAVES IN RANDOM AND COMPLEX MEDIA, 2022,
  • [27] A note on "Taylor-Couette flow of a generalized second grade fluid due to a constant couple"
    Fetecau, C.
    Awan, U.
    Athar, M.
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2010, 15 (02): : 155 - 158
  • [28] Thermal stratification of rotational second-grade fluid through fractional differential operators
    Kashif Ali Abro
    Ambreen Siyal
    Abdon Atangana
    Journal of Thermal Analysis and Calorimetry, 2021, 143 : 3667 - 3676
  • [29] A generalized proportional Caputo fractional model of multi-agent linear dynamic systems via impulsive control protocol
    Bohner, Martin
    Hristova, Snezhana
    Malinowska, Agnieszka B.
    Morgado, Maria Luisa
    Almeida, Ricardo
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, 115
  • [30] Thermal stratification of rotational second-grade fluid through fractional differential operators
    Abro, Kashif Ali
    Siyal, Ambreen
    Atangana, Abdon
    JOURNAL OF THERMAL ANALYSIS AND CALORIMETRY, 2021, 143 (05) : 3667 - 3676