First Solution of Fractional Bioconvection with Power Law Kernel for a Vertical Surface

Mathematics

Mehdi Salimi¹  Muhammad Imran Asjad²  Saif Ur Rehman²  Soheil Salahshour³  Ali Ahmadian⁴ 

[1] Department of Mathematics & Statistics, McMaster University, Hamilton, ON L8S 4K1, Canada;Department of Mathematics, University of Management and Technology Lahore, Lahore 54770, Pakistan;Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul 34349, Turkey;Institute of IR 4.0, The National University of Malaysia, Bangi 43600, Selangor, Malaysia;

关键词: bioconvection;    Caputo fractional;    heat transfer;    vertical surface;   

DOI  :  10.3390/math9121366

来源: DOAJ

【 摘 要 】

The present study provides the heat transfer analysis of a viscous fluid in the presence of bioconvection with a Caputo fractional derivative. The unsteady governing equations are solved by Laplace after using a dimensional analysis approach subject to the given constraints on the boundary. The impact of physical parameters can be seen through a graphical illustration. It is observed that the maximum decline in bioconvection and velocity can be attained for smaller values of the fractional parameter. The fractional approach can be very helpful in controlling the boundary layers of the fluid properties for different values of time. Additionally, it is observed that the model obtained with generalized constitutive laws predicts better memory than the model obtained with artificial replacement. Further, these results are compared with the existing literature to verify the validity of the present results.

【 授权许可】

Unknown