Laplace transform finite volume modeling of water hammer along fluid–structure interaction

Mahmoodi, Ramin; Zolfaghari, A.; Minuchehr, A.

doi:10.1016/j.camwa.2019.01.014

Cited by 8 publications

(4 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Analytical solutions of one dimensional second order ODEs are generally known for simple harmonic excitations [18]. For other types of periodic functions, it is common to use the Fourier Series to obtain an harmonic approximation [19]; Laplace Transform is also widely used [20][21][22]; and variation of parameters and undetermined coefficients [2,3,23,24]. To name a few analytical methods to solve the uncoupled ODEs, whose solutions would be transformed to the original coupled vector space.…”

Section: Introductionmentioning

confidence: 99%

A systematic approach to obtain the analytical solution for coupled linear second-order ordinary differential equations: Part II

Janczkowski Fogaça,

Lenz Cardoso

2024

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

Coupled systems of second order ODEs are found in many areas, such as vibrations and electric circuits. Thus, accurate and efficient solutions are of great interest. This manuscript extends the concept of generalized integrating factor, recently introduced by the authors for one dimensional problems, to coupled n-dimensional systems of second order ODEs. The general formulation for time-varying coefficients is found and particularized to the constant coefficients. Closed-form integrating factors are obtained for the constant coefficient case under mild assumptions about the damping coefficient matrix. Analytical solutions for different types of continuous and discontinuous excitations are presented for problems with constant coefficients and proportional damping, disregarding the damping level. Examples are provided for each type of excitation studied in this manuscript. Results obtained with the proposed approach are compared to traditional numerical methods. Results show that the proposed procedure is accurate, not suffering with interpolation errors found in traditional numerical methods.

show abstract

Section: Introductionmentioning

confidence: 99%

A systematic approach to obtain the analytical solution for coupled linear second-order ordinary differential equations: Part II

Janczkowski Fogaça,

Lenz Cardoso

2024

J Braz. Soc. Mech. Sci. Eng.

View full text Add to dashboard Cite

show abstract

“…Combining metallic and polymeric pipes represents one of the most effective techniques to attenuate hydraulic transients while preserving system rigidity. This combination can be con gured in various ways to achieve better damping e ciency [29], with viscoelastic pipes replacing sections or branching from the main pipeline [30][31][32], or con gured as external support to damp hydraulic transients due to uid-structure interaction properties (FSI) [33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

Hydraulic Transient attenuation by HDPE backward configuration Technique

Mery,

EKaid

2023

Preprint

View full text Add to dashboard Cite

Hydraulic transients pose a significant threat to pressurized conduits, and their occurrence is commonplace in industrial pipelines throughout their operational lifespan. The potential for catastrophic damage resulting from hydraulic transient events has compelled researchers to explore effective techniques for mitigating their severity. This paper presents the findings of an experimental study aimed at investigating the efficacy of employing a high-density polyethylene (HDPE) bypass as a hydraulic transient mitigation strategy. The configured HDPE bypass is designed to allow backward flows while restraining forward flows. The study encompasses various transient conditions, with measurements recorded at different locations along the pipeline. The investigated hydraulic transient scenarios include pump trip-induced transients, end valve closure transients, and simultaneous pump and valve closure-induced transients. Furthermore, the performance of the HDPE backward configuration technique is compared with that of the air vessel technique. In conclusion, the experiments reveal that the HDPE backward configuration technique proves to be an effective strategy for attenuating transient pressure waves in hydraulic systems. Notably, the HDPE technique outperformed the air vessel technique in several experimental conditions. Additionally, the combined use of the HDPE and air vessel techniques demonstrated superior performance compared to each technique individually across all measured locations and under various transient conditions.

show abstract

“…However, FSI responses closely depend on the operating condition of the pipe system. Hence, FSI analysis should be carried out according to various constraints and boundary conditions (Mahmoodi, et al, 2019;Tijsseling, 2019;Rajbamshi, et al, 2020).…”

Section: Introductionmentioning

confidence: 99%

Fluid-Structure Interaction in a Pipeline Embedded in Concrete During Water Hammer

et al. 2022

View full text Add to dashboard Cite

Pipe vibration induced by water hammer frequently emerges in water conveyance system, especially in the hydropower plant or pumped storage power station with long diversion pipelines. This vibration in turn affects the hydraulic pulsation so that undesired fluid-structure interaction (FSI) arises. In this research, attention is given to a pipeline embedded in concrete. A six-equation model was derived to describe the fluid-pipe-concrete interaction considering Poisson coupling and junction coupling. With the elastic and homogeneous hypotheses, an iterative approach was proposed to solve this model, and the results were validated by experiment and classical water-hammer theory. Then dynamic FSI responses to water hammer were studied in a reservoir-pipe-valve physical system. Hydraulic pressure, pipe wall stress and axial motion were discussed with respect to different parameters of concrete. Results obtained by the two-equation model, four-equation model and six-equation model show characteristics of pressure wave and stress wave separately with and without FSI.

show abstract

Laplace transform finite volume modeling of water hammer along fluid–structure interaction

Cited by 8 publications

References 18 publications

A systematic approach to obtain the analytical solution for coupled linear second-order ordinary differential equations: Part II

A systematic approach to obtain the analytical solution for coupled linear second-order ordinary differential equations: Part II

Hydraulic Transient attenuation by HDPE backward configuration Technique

Fluid-Structure Interaction in a Pipeline Embedded in Concrete During Water Hammer

Contact Info

Product

Resources

About