Natural convection simulation of Prabhakar-like fractional Maxwell fluid flowing on inclined plane with generalized thermal flux

Case Studies in Thermal Engineering

卷:35

Ali Raza¹  Kashif Irshad²  Ilyas Khan³  Amnah S. Al-Johani⁴  M. Aslam Shakir⁵  Amjad Ali Pasha⁶ 

[1] Corresponding author.;

[2] Aerospace Engineering Department, King Abdulaziz University, Jeddah, 21589, Saudi Arabia;

[3] Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah, 11952, Saudi Arabia;

[4] Department of Mathematics, Quaid-I-Azam University 45320, Islamabad, 44000, Pakistan;

[5] Department of Mathematics, University of Engineering and Technology, Lahore, 54890, Pakistan;

[6] Department of Science, University of Tabuk, Tabuk, Saudi Arabia;

关键词: Fractional Maxwell fluid;    Fractional derivative;    Fourier law;    Mittag-Leffler function;    Thermal flux;   

DOI  :  

来源: DOAJ

【 摘 要 】

This study considers the natural convection of viscoelastic fractional-type Maxwell fluid flowing on an inclined oscillating plate with generalized equations for stress-shear and thermal flux of thickness vector. A recent and modified fractional technique, namely Prabhakar fractional derivative, is utilized for the generalized memory effect. The solution of non-dimensional and transformed governed equations is explored by integral transform. Prabhakar-like fractional-Maxwell fluid's energy and momentum profiles are compared with classical Fourier thermal flux and ordinary Maxwell fluid with generalized heat transport. To see insight into the physical behavior of the governed equations, different exceptional cases of momentum profiles are described whose physical significance is well-explained in the existing literature, and also the graphical interpretation is presented for the comparison and influence of all parameters on momentum and energy fields. As a result, we have concluded that the Prabhakar fractional operators signify the possibility of a convenient choice of different fractional constraints, which has good fitting in both experimental and theoretical data. Furthermore, the ordinary-type Maxwell fluid with Fourier thermal flux represents less velocity rate as compared to ordinary Maxwell fluid with fractional thermal flux and fractional Maxwell fluid with fractional thermal flux.

【 授权许可】

Unknown