Mathematics | |
Analysis of the Influences of Parameters in the Fractional Second-Grade Fluid Dynamics | |
Mehmet Yavuz1  Mustafa Yıldız2  Ndolane Sene3  | |
[1] Department of Mathematics and Computer Sciences, Faculty of Science, Necmettin Erbakan University, 42090 Konya, Turkey;Department of Mathematics, Faculty of Arts and Sciences, Bülent Ecevit University, Incivez, 67100 Zonguldak, Turkey;Department of Mathematics, Institut des Politiques Publiques, Dakar Fann BP 5683, Senegal; | |
关键词: second-grade fluid; Prandtl number; Grashof number; fractional-order derivative; integral transformation; | |
DOI : 10.3390/math10071125 | |
来源: DOAJ |
【 摘 要 】
This work proposes a qualitative study for the fractional second-grade fluid described by a fractional operator. The classical Caputo fractional operator is used in the investigations. The exact analytical solutions of the constructed problems for the proposed model are determined by using the Laplace transform method, which particularly includes the Laplace transform of the Caputo derivative. The impact of the used fractional operator is presented; especially, the acceleration effect is noticed in the paper. The parameters’ influences are focused on the dynamics such as the Prandtl number
【 授权许可】
Unknown