Abstract

Selective withdrawal from a thermal stratified reservoir has been widely utilized in managing reservoir water withdrawal. Besides theoretical analysis and numerical simulation, model test was also necessary in studying the temperature of withdrawn water. However, information on the similarity theory of the withdrawn water temperature model remains lacking. Considering flow features of selective withdrawal, the similarity theory of the withdrawn water temperature model was analyzed theoretically based on the modification of governing equations, the Boussinesq approximation, and some simplifications. The similarity conditions between the model and the prototype were suggested. The conversion of withdrawn water temperature between the model and the prototype was proposed. Meanwhile, the fundamental theory of temperature distribution conversion was firstly proposed, which could significantly improve the experiment efficiency when the basic temperature of the model was different from the prototype. Based on the similarity theory, an experiment was performed on the withdrawn water temperature which was verified by numerical method.

Highlights

  • Most reservoirs with more than 6 m depth are typically temperature-stratified as a result of surface heating and wind mixing

  • Information on similarity theory of withdrawn water temperature model remains lacking for selective withdrawal from a thermal stratified reservoir

  • This paper presents similarity theory of withdrawn water temperature model test

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Summary

Introduction

Most reservoirs with more than 6 m depth are typically temperature-stratified as a result of surface heating and wind mixing. Shammaa and Zhu studied the flow field induced by the bottom jet and the mean flow in a two-layer flume with a temperaturecontrol curtain [11] These experiments focus on velocity field or turbulent jet, not on the withdrawn water temperature. Information on similarity theory of withdrawn water temperature model remains lacking for selective withdrawal from a thermal stratified reservoir. Similarity theory is necessary for a model test in the study of withdrawn water temperature using selective withdrawal from a thermal stratified reservoir. With the similarity theory we proposed, experiments of withdrawn water temperature could be conducted no matter whether the basic temperatures of the model were consistent with that of the prototype or not.

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