Identification of the influence of bend angle in an l-shaped channel on incompressible viscous flow

Authors

DOI:

https://doi.org/10.15587/1729-4061.2026.361507

Keywords:

Viscous flow, L-shaped channel, incompressible Navier-Stokes equations, finite element method

Abstract

The object of this study is steady two-dimensional incompressible viscous flow in L-shaped channels with different bend angles. The problem to be solved is to determine how the bend angle affects the flow pattern and hydraulic losses. Two geometries are compared: channels with 45° and 90° bends. The computations are carried out for Re = 500, 1000, and 2000. The flow is described by the stationary Navier-Stokes equations, which are solved by the finite element method. Newton's method is used to solve the nonlinear system. The comparison is performed under the same boundary conditions and computational parameters.

The results are analyzed using velocity and pressure fields, stream-function distributions, pressure drop, loss coefficient, and Euler number. The calculations show that the 90° bend causes a stronger change in the flow after the corner than the 45° bend. In the 90° channel, the direction of motion changes more sharply. Therefore, the velocity field downstream of the bend is more distorted, the gradients are higher, and recirculation zones become more visible as Re increases. In the 45° channel, the turn is smoother, so the velocity and pressure fields change more regularly.

The integral characteristics confirm this result. For all Re considered, the 90° bend gives a larger pressure drop than the 45° bend. The loss coefficient and Euler number vary with Re, but the 90° geometry remains less favorable. This is explained by stronger rearrangement of the flow caused by the sharper turn. The influence of the bend angle is shown both by field plots and by pressure-loss indicators. The results may be used in design of ducts, cooling channels, and pipelines when pressure losses in curved parts should be reduced

Author Biographies

Almas Temirbekov, Al-Farabi Kazakh National University

PhD

Department of Computational Sciences and Statistics

Zhadra Zhaksylykova, Sarsen Amanzholov East Kazakhstan University

PhD

Department of Mathematics

Bekdaulet Khudaibergen, Al-Farabi Kazakh National University

Department of Computational Sciences and Statistics

Nurlan Temirbekov, Al-Farabi Kazakh National University

Doctor of Physical and Mathematical Sciences

Department of Mathematical and Computer Modeling

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Identification of the influence of bend angle in an l-shaped channel on incompressible viscous flow

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Published

2026-06-29

How to Cite

Temirbekov, A., Zhaksylykova, Z., Khudaibergen, B., & Temirbekov, N. (2026). Identification of the influence of bend angle in an l-shaped channel on incompressible viscous flow. Eastern-European Journal of Enterprise Technologies, 3(7 (141), 58–70. https://doi.org/10.15587/1729-4061.2026.361507

Issue

Vol. 3 No. 7 (141) (2026): Applied mechanics

Section

Applied mechanics

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Copyright (c) 2026 Almas Temirbekov, Zhadra Zhaksylykova, Bekdaulet Khudaibergen, Nurlan Temirbekov

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