Advancement of Non-Newtonian Fluid with Hybrid Nanoparticles in a Convective Channel and Prabhakar’s Fractional Derivative—Analytical Solution

Fractal and Fractional

Taseer Muhammad¹  Muhammad Imran Asjad²  Noman Sarwar²  Muhammad Bilal Hafeez³  Wojciech Sumelka³ 

[1] Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia;Department of Mathematics, University of Management and Technology, Lahore 54770, Pakistan;Institute of Structural Analysis, Poznan University of Technology, Piotrowo 5 Street, 60-965 Poznan, Poland;

关键词: non-Newtonian;    fractional derivatives;    vertical channel;    nanoparticles;    heat transfer;   

DOI  :  10.3390/fractalfract5030099

来源: DOAJ

【 摘 要 】

The present paper deals with the advancement of non-Newtonian fluid containing some nanoparticles between two parallel plates. A novel fractional operator is used to model memory effects, and analytical solutions are obtained for temperature and velocity fields by the method of Laplace transform. Moreover, a parametric study is elaborated to show the impact of flow parameters and presented in graphical form. As a result, dual solutions are predicted for increasing values of fractional parameters for short and long times. Furthermore, by increasing nanoparticle concentration, the temperature can be raised along with decreasing velocity. A fractional approach can provide new insight for the analytical solutions which makes the interpretation of the results easier and enable the way of testing possible approximate solutions.

【 授权许可】

Unknown