Technical Notes
Sep 29, 2022

Direct Derivation of Streamwise Velocity from RANS Equation in an Unsteady Nonuniform Open-Channel Flow

Publication: Journal of Engineering Mechanics
Volume 148, Issue 12

Abstract

This study investigates the vertical profile of streamwise (longitudinal) velocity in an unsteady and nonuniform open-channel turbulent flow. In contrast to the previous works, a direct derivation for velocity distribution starting from Reynolds-averaged Navier-Stokes (RANS) equation has been shown. Due to unavailability of several expressions for unsteady flow to solve the governing equation, a few assumptions have been made. The proposed model contains the effect of secondary current, which is generally present in all types of open-channel flow. The resulting partial differential equation has been solved numerically. Validation has been done by comparing the model with available experimental data and an existing analytical model.

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Data Availability Statement

No data, model, or code were generated during the study. We have validated our results with the existing experimental data given by Song and Graf (1996) and existing analytical model of Patel et al. (2021).

References

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Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 148Issue 12December 2022

History

Received: Jan 24, 2022
Accepted: Aug 2, 2022
Published online: Sep 29, 2022
Published in print: Dec 1, 2022
Discussion open until: Feb 28, 2023

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Assistant Professor, Dept. of Applied Sciences and Humanities, Panipat Institute of Engineering and Technology, Samalkha, Haryana 132101, India; Assistant Professor, Dept. of Mathematics, Pandit Deendayal Energy Univ., Gandhinagar, Gujarat 382007, India (corresponding author). Email: [email protected]
Assistant Professor, Dept. of Mathematics, National Institute of Jamshedpur, Jharkhand 831014, India. ORCID: https://orcid.org/0000-0003-3222-2022. Email: [email protected]
Koeli Ghoshal [email protected]
Associate Professor, Dept. of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur 721302, India. Email: [email protected]
Professor, LR2E Laboratory Quartz EA 7393, Ecole Supérieure d’Ingénieurs en Génie Electrique, Productique et Management Industriel (ECAM-EPMI), 13 Boulevard de l’Hautil, Cergy 95092, France. Email: [email protected]

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  • Suspended Sediments in Environmental Flows: Interpretation of Concentration Profiles Shapes, Hydrology, 10.3390/hydrology10010005, 10, 1, (5), (2022).

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