Shaydulla, Mengliev and Habibulla, Akhadkulov and Mohd Kamal, Afiqah (2025) Mathematical Modeling of Viscous Incompressible Fluid Flow in Tubular Networks: Analysis of Laminar and Turbulent Regimes. Journal of Computational Innovation and Analytics (JCIA), 4 (1). pp. 75-84. ISSN 2821-3408

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Abstract

The article delves into the mathematical modeling of the flow of viscous, incompressible fluids through a network of tubes enclosed within an outer pipe. It comprehensively examines laminar and turbulent flow regimes, thoroughly analyzing the underlying physical phenomena. Specifically, it investigates the fluid dynamics through a configuration consisting of n tubes, each with a length L and radius ,r situated within the outer tube. The article derives formulae for calculating key parameters such as the maximum velocity of fluid flow, the volumetric flow rate through the tube's cross-section, the coefficient of frictional resistance along the tube's length, and the maximum value of tangential stress

Item Type:	Article
Uncontrolled Keywords:	Darcy-Weisbach, friction force, parabolic flow, Poiseuille, Reynolds number
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Mdm. Rozana Zakaria
Date Deposited:	21 Jan 2026 11:29
Last Modified:	21 Jan 2026 11:35
URI:	https://repo.uum.edu.my/id/eprint/32684

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