A fast reduced model for a shell-and-tube based latent heat thermal energy storage heat exchanger and its application for cost optimal design by nonlinear programming

Pan, Chunjian; Vermaak, Natasha; Wang, Xingchao; Romero, Carlos; Neti, Sudhakar

doi:10.1016/j.ijheatmasstransfer.2021.121479

Title: A fast reduced model for a shell-and-tube based latent heat thermal energy storage heat exchanger and its application for cost optimal design by nonlinear programming

Journal Article · Tue Jun 01 00:00:00 EDT 2021 · International Journal of Heat and Mass Transfer

DOI:https://doi.org/10.1016/j.ijheatmasstransfer.2021.121479· OSTI ID:1805195

Pan, Chunjian ^[1];

^[1];

^[2]; Romero, Carlos ^[1]; Neti, Sudhakar ^[1]

Lehigh Univ., Bethlehem, PA (United States)
National Renewable Energy Lab. (NREL), Golden, CO (United States); Colorado School of Mines, Golden, CO (United States)

Numerical simulation of latent heat thermal energy storage (LHTES) systems plays a fundamental role in studying the physical process and guiding the engineering design. Discretization of the PDEs describing the nonlinear solidification/melting process of phase change materials (PCMs) leads to a large-scale complex dynamics system, where the system behavior depends on a set of parameters. In a design setting, repeated model evaluations are required over the set of parameters results in significant computational burden. In this paper, an explicit analytic solution was built for the propagation of the solidification front in a cylindrical coordinate. The analytic solution approach is further employed to develop a low computational reduced model (RM) as a module for a shell-and-tube based LHTES heat exchanger. The levelized Cost of Energy (LCOE) is used as a design metric and the RM model is used to apply system-level constraints in the nonlinear programming formulation that facilitates efficient global optimal design of the PCM properties, flow conditions and tube geometries. The use of LCOE as the design metric prevents over design of the heat transfer rate and also establishes a fair ground for evaluation of different thermal storage technologies and their integrated applications with other systems. Optimal results showed that a higher effectiveness results in a higher LCOE; the velocity of the HTF and the length of the channel are highly correlated with each other; both larger PCM latent energy and conductivity result in lower LCOE.

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Research Organization:: National Renewable Energy Lab. (NREL), Golden, CO (United States)

Sponsoring Organization:: USDOE Advanced Research Projects Agency - Energy (ARPA-E)

Grant/Contract Number:: AC36-08GO28308; AR0000582

OSTI ID:: 1805195

Alternate ID(s):: OSTI ID: 1785404

Report Number(s):: NREL/JA-5700-80162; MainId:42365; UUID:3dc935f2-7f79-41ec-8191-e22963ee0e74; MainAdminID:25708

Journal Information:: International Journal of Heat and Mass Transfer, Vol. 176; ISSN 0017-9310

Publisher:: ElsevierCopyright Statement

Country of Publication:: United States

Language:: English

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