Work

Higher-Order Recurrent Finsler Geometry and Anisotropic Flow Modelling with CFD Applications

Year: 2026

Type: article

Abstract: In this work, a unified high-level framework that links anisotropic flow via higher-order recurrence structures with Finsler geometry is developed. It focuses on the connections between Weyl projective and concircular curvature tensors in extended second-order recurrent and birecurrent Finsler spaces. By obtaining new tensorial relations and strict necessary and sufficient conditions, classical recurrence theory is expanded. To confirm applicability, CFD simulations of viscous flow in curved pipes with varying curvatures and intake conditions are performed. The results demonstrate significant directional dependency in velocity and wall shear stress. The results are consistent with the proposed geometric model, indicating a close relationship between advanced differential geometry and anisotropic fluid behavior with implications for modified gravity and cosmology.

Source: Wadi Alshatti University Journal of Pure and Applied Sciences

DOI: 10.63318/waujpasv4i2_37

Authors: القشبري, عادل, مثنى, بسام, هادي, وفاء, السلال, فهمي, العروسي, شعبان, شكاليلي, إسماعيل, ماندال, أبيجيت, Al-Qashbari, Adel, Hadi, Wafa'a, AL-ssallal, Fahmi, Mandal, Abhijit

Institutions: University of Science and Technology, Hassiba Benbouali University of Chlef, King Fahd University of Petroleum and Minerals, University of Aden, Raiganj Surendranath Mahavidyalaya

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7214542151

FWCI:

Cites: 8

Cited by:

Related to: 10