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256778

Improved Analytical Solution for Water Hammer in Viscoelastic Pipes

Article

Last updated: 04 Jan 2025

OverviewSimilar Items

Subjects

-

Tags

Irrigation and Hydraulic Engineering

Abstract

The challenge of the present paper is improving an analytical solution for the one-dimensional water hammer in viscoelastic pipeline due to sudden end valve closure. The importance of the analytical solution is providing the necessary design information, especially in absence of an analyzing software. New exact dimensionless analytical equation is derived to determine the attenuated pressure wave head along the first pressure wave trip, and the viscoelastic term is merged in the wave celerity expression. Then, the integration process is utilized to rederive an approximate analytical equation for the pressure head at the valve during the first half pressure wave cycle, which involves the maximum design pressure head. Performance of the analytical results is compared with numerical results of the method of characteristics, for nearly all literature studies of the problem. Perfect performance for the analytical results is obtained for frictionless pipes that are a little bit distorted as the ratio, of the steady state friction head losses in the pipe to the Joukowsky pressure head, increases. Therefore, a nonlinear deterministic optimization algorithm is adopted to improve the integration constant of the friction term, which enhances the accuracy of the analytical results.

DOI

10.21608/bfemu.2022.256778

Keywords

Water Hammer, viscoelastic pipes, maximum, pressure, analytical solution

Authors

First Name

Hossam

Last Name

A.A. Abdel-Gawad

MiddleName

-

Affiliation

Houston, Irrigation & Hydraulics Department, Faculty of Engineering, Mansoura University, El-Mansoura 35516, Egypt.

Email

hossamaaa@mans.edu.eg

City

Mansoura, Egypt

Orcid

0000-0002-3425-6018

Volume

47

Article Issue

4

Related Issue

36118

Issue Date

2022-08-01

Receive Date

2022-06-11

Publish Date

2022-08-29

Page Start

20

Page End

32

Print ISSN

1110-0923

Online ISSN

2735-4202

Article File

BFEMU_Volume 47_Issue 4_Pages 20-32.pdf

PDF . 3.8MB

Link

https://bfemu.journals.ekb.eg/article_256778.html

Detail API

https://bfemu.journals.ekb.eg/service?article_code=256778

Order

4

Type

Research Studies

Type Code

1,205

Publication Type

Journal

Publication Title

MEJ. Mansoura Engineering Journal

Publication Link

https://bfemu.journals.ekb.eg/

MainTitle

Improved Analytical Solution for Water Hammer in Viscoelastic Pipes

Details

Type

Article

Created At

22 Jan 2023