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Simplified models of the symmetric single-pass parallel-plate counterflow heat exchanger: a tutorial
William F Pickard1, Barbara Abraham-Shrauner1
1Department of Electrical and Systems Engineering, Washington University, St Louis, MI 63130, USA.
Royal Society Open Science
|April 17, 2018
Summary
This tutorial introduces heat exchangers crucial for energy storage and Smart Grids. Heat exchanger effectiveness can approach unity, but involves trade-offs in cost, size, and throughput.
Area of Science:
- Thermal engineering
- Energy storage systems
- Smart Grid technologies
Background:
- Heat exchangers are vital for thermal processes in molten-salt storage, compressed air energy storage, and load-shifting thermal storage for Smart Grids.
- Understanding heat exchanger principles is essential for scientists utilizing intermittent renewable energy sources.
Purpose of the Study:
- To provide a conceptual, self-contained introduction to heat exchanger thermophysics for scientists.
- To model a novel quantized exchanger for conceptual understanding.
- To analyze heat exchanger effectiveness through one- and two-dimensional steady-state idealizations.
Main Methods:
- Modeling a novel quantized heat exchanger for thermophysical comprehension.
- Reviewing one-dimensional steady-state idealization to correlate effectiveness with device length and throughput.
- Presenting a two-dimensional steady-state idealization for plug flow, deriving a novel effectiveness formula.
- Validating the derived formula against finite-difference time-domain solutions under Hagen-Poiseuille flow.
Main Results:
- Effectiveness of heat transfer increases monotonically with the ratio of device length to device throughput in a one-dimensional model.
- A novel formula for heat transfer effectiveness was derived from a two-dimensional steady-state idealization.
- The derived formula demonstrated good agreement with finite-difference time-domain simulations.
- Heat exchange effectiveness can approach unity, but requires balancing cost, size, and throughput.
Conclusions:
- Heat exchanger effectiveness is a critical parameter in energy storage systems.
- The study provides a theoretical framework for understanding and optimizing heat exchanger performance.
- Achieving high effectiveness necessitates careful consideration of design trade-offs.
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