A Numerically Validated Approach to Modeling Water Hammer Phenomena Using Partial Differential Equations and Switched Differential-Algebraic Equations
Journal Title: Journal of Industrial Intelligence - Year 2023, Vol 1, Issue 2
Abstract
Water distribution networks are susceptible to abrupt pressure fluctuations and spikes due to rapid adjustments in valve and pump settings. A common occurrence resulting from the sudden closure of a valve, known as water hammer, can potentially cause damage to various components within the network if not adequately addressed. Traditionally, water hammer phenomena have been modeled using a set of hyperbolic partial differential equations (PDEs). This study introduces a simplified model that employs switched differential-algebraic equations (DAEs). Recognized for their capacity to generate infinite peaks in response to sudden structural changes, switched DAEs provide mathematical representations of infinite peaks, manifested as Dirac impulses. This modeling approach offers the potential for more straightforward analyses of complex water networks in future research. To validate the proposed technique, a numerical comparison was conducted between the PDE- and DAE-based models, using a basic configuration consisting of two reservoirs, a pipe, and a valve.
Authors and Affiliations
Rukhsana Kausar, Hafiz Muhammad Athar Farid, Muhammad Riaz
Keywords
Related Articles
- EP ID EP732418
- DOI 10.56578/jii010201
- Views 76
- Downloads 0
Numerical Analysis of Viscosity and Surface Tension on Microdroplet Dynamics in Microelectromechanical Systems Applications
Microelectromechanical systems (MEMS) have instigated transformative advancements, notably in controlled microdroplet generation, offering applications across diverse industrial sectors. Precise control of fluid quantiti...
Text Readability Evaluation in Higher Education Using CNNs
The paramountcy of English in the contemporary global landscape necessitates the enhancement of English language proficiency, especially in academic settings. This study addresses the disparate levels of English proficie...
Fuzzy Control of Active Vehicle Suspensions for Enhanced Safety in Goods Transport
Suspension systems play a critical role in ensuring the safety, comfort, and stability of vehicles during the transportation of both passengers and goods. Among various suspension technologies, active or electronic suspe...
Intelligent Risk Analysis of Investment Projects in the Extractive Industry
This study introduces an advanced technology for risk analysis in investment projects within the extractive industry, specifically focusing on innovative mining ventures. The research primarily investigates various deter...
Iris Detection for Attendance Monitoring in Educational Institutes Amidst a Pandemic: A Machine Learning Approach
Amid the COVID-19 pandemic, the imperative for alternative biometric attendance systems has arisen. Traditionally, fingerprint and facial recognition have been employed; however, these methods posed challenges in adheren...