Abstract

Due to elevated runoff stormwater temperatures from impervious areas, one management strategy to reduce stormwater temperature is the use of underground flow through rock media termed a cooling trench. This paper examines the governing equations for the liquid phase and media phases for modeling the temperature leaving a cooling trench assuming that changes in temperature occurred longitudinally through the cooling trench. This model is dependent on parameters such as the media type, porosity, media initial temperature, inflow rate, and inflow temperature. Several approaches were explored mathematically for evaluating the change in temperature of the water and the cooling trench media. Typical soil–water heat transfer coefficients were summarized. Examples of predictions of outflow temperatures were shown for different modeling assumptions, such as well-mixed conditions, batch mixing and subsequent release, and steady-state and dynamic conditions. Several of these examples evaluated how long rock media would cool following a stormwater event and how the cooling trench would respond to multiple stormwater events.

Highlights

  • IntroductionOne of the problems of stormwater runoff from impervious surfaces is the heat absorbed in the stormwater and its effect on receiving water streams [1]

  • Effectiveness of Cooling Trenches forOne of the problems of stormwater runoff from impervious surfaces is the heat absorbed in the stormwater and its effect on receiving water streams [1]

  • Studied temperature-related stormwater Best Management Practices (BMPs) and showed that infiltration of stormwater was more advantageous than surface stormwater BMPs such as ponds

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Summary

Introduction

One of the problems of stormwater runoff from impervious surfaces is the heat absorbed in the stormwater and its effect on receiving water streams [1]. Studied temperature-related stormwater Best Management Practices (BMPs) and showed that infiltration of stormwater was more advantageous than surface stormwater BMPs such as ponds This occurred since infiltration into the subsurface eliminated surface heat transfer and took advantage of the cooling with the underground substrate. [9] modeled modeledthe theeffect effectof ofaarock rockcrib cribon onstormwater stormwaterrunoff runofftemperatempertures They evaluated the cooling effectiveness of a rock crib in laboratory atures. The objective of this paper is to develop a mathematical model for heat transferinina cooling trench accounting forfor longitudinal variation of the temperature of the and a cooling trench accounting longitudinal variation of the temperature of water the water cooling trench media or rock.

Model Assumptions conceptualmodel modelshown shown
Model Simplifications
Model Examples
Base Case Example
Predictions
Steady-State
Dynamic Mixing of Stormwater and Media in a Batch Operation
Dynamic Well-Mixed Stormwater and Media with Inflow and Outflow
Dynamic Inflow-Outflow Plug Flow with Spatially Variable Water Temperature
Variation
Dynamic Well-Mixed
Findings
Summary

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