Numerical Solutions of Unsteady Boundary Layer Flow with a Time-Space Fractional Constitutive Relationship

Autor: Weidong Yang, Xuehui Chen, Yuan Meng, Xinru Zhang, Shiyun Mi
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Symmetry, Vol 12, Iss 9, p 1446 (2020)
Druh dokumentu: article
ISSN: 2073-8994
DOI: 10.3390/sym12091446
Popis: In this paper, we develop a new time-space fractional constitution relation to study the unsteady boundary layer flow over a stretching sheet. For the convenience of calculation, the boundary layer flow is simulated as a symmetrical rectangular area. The implicit difference method combined with an L1-algorithm and shift Grünwald scheme is used to obtain the numerical solutions of the fractional governing equation. The validity and solvability of the present numerical method are analyzed systematically. The numerical results show that the thickness of the velocity boundary layer increases with an increase in the space fractional parameter γ. For a different stress fractional parameter α, the viscoelastic fluid will exhibit viscous or elastic behavior, respectively. Furthermore, the numerical method in this study is validated and can be extended to other time-space fractional boundary layer models.
Databáze: Directory of Open Access Journals