Journal of Water and Wastewater Science and Engineering

Journal of Water and Wastewater Science and Engineering

Mathematical Analysis of Sub-Atmospheric Vapor Pipeline (SAVP) Transmission for Seawater Desalination

Document Type : Original Article

Authors
1 Assistant Professor of Research, Faculty Member of Water and Wastewater Research Center, Water Research Institute, Tehran, Iran.
2 Associate Professor, Biochemical Engineering Department, Faculty of Chemical Engineering, Tarbiat Modares University, Tehran, Iran.
Abstract
A mathematical analysis of seawater desalination via the Sub-Atmospheric Vapor Pipeline (SAVP) method has been conducted, encompassing both theoretical and practical investigations in a natural field setting. The SAVP process facilitates vapor transfer by utilizing the temperature difference between a warm source and a cold environment. Owing to its demonstrated advantages, this technology holds potential for industrial and field-scale applications. Advancements in SAVP knowledge require studying the phenomenon under dynamic conditions, where the temperatures of the heat source and sink, as well as the thermal conditions along the SAVP path, are inherently functions of time and space. This scenario introduces novel and compelling research challenges. The analysis begins with a review and simplification of the fundamental convection-diffusion equation, leading to a solution for the temperature profile within the pipe using advanced engineering mathematics. A mathematical approach involving Eigen functions is employed to solve the temperature differential equation. The output of this mathematical model was validated in a real-world natural environment, specifically along a 16 km pipeline between a hot source (the city of Ramsar) and a cold source (the Takhte Soleiman heights).
Keywords

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Volume 10, Issue 2
Summer 2025
Pages 43-54

  • Receive Date 31 December 2024
  • Revise Date 26 January 2025
  • Accept Date 03 March 2025