Analysis of the Influences of Parameters in the Fractional Second-Grade Fluid Dynamics
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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 (Pr), the Grashof numbers (Gr), and the parameter eta when the fractional-order derivative is used in modeling the second-grade fluid model. Their impacts are also analyzed from a physical point of view besides mathematical calculations. The impact of the fractional parameter alpha is also provided. Finally, it is concluded that the graphical representations support the theoretical observations of the paper.
Açıklama
Anahtar Kelimeler
Second-Grade Fluid, Prandtl Number, Grashof Number, Fractional-Order Derivative, Integral Transformation
Kaynak
Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
10
Sayı
7
