Co-current parallel-plate moving bed heat exchanger: An analytical solution

Isaza, Pedro A.; Warnica, W. David; Bussmann, Markus

doi:10.1016/j.ijheatmasstransfer.2015.02.079

Cited by 23 publications

(14 citation statements)

References 19 publications

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“…The experimentally validated assumptions behind the energy model formulated for the parallel-plate MBHE, outlined by Isaza et al [9,10], include: The system operates under steady-state conditions, and the solids move with constant velocity under local thermal equilibrium [13][14][15][16][17]. The solids enter the exchanger at a constant temperature, and the thermo-physical properties are constant and isotropic.…”

Section: Governing Equationsmentioning

confidence: 99%

“…The solids enter the exchanger at a constant temperature, and the thermo-physical properties are constant and isotropic. Heat conduction in the solids occurs in the lateral direction only [9] (i.e. negligible axial heat conductionexplored and validated in [12]), while convection occurs in the axial direction.…”

Section: Governing Equationsmentioning

confidence: 99%

“…Note that the plus and minus signs correspond to the equations for the co-current [9] and counter-current [10] orientations respectively.…”

Section: Governing Equationsmentioning

confidence: 99%

“…counter-current, co-current, or cross flow). Recent mathematical investigations into some of these heat transfer problems have identified analytical solutions for both parallel-plate and vertical pipe configurations [9][10][11][12]. The results outlined provide a sizing platform that engineers can now use to design and rate the thermal performance of these systems.…”

Section: Introductionmentioning

confidence: 99%

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Effectiveness-NTU Relationships of Parallel-Plate Moving Bed Heat Exchangers

Isaza¹,

Bussmann²

2018

Progress in Canadian Mechanical Engineering

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Moving bed heat exchangers (MBHEs) are used in various industrial processes. Recently, analytical solutions to several MBHE heat transfer problems have been presented in the literature. In this work, the mathematical procedure by which these new solutions are used to construct effectiveness-NTU relationships is presented, for parallel-plate configurations. Expressions for both co-and counter-current orientations are outlined. Effectiveness-NTU plots are then generated, and contrasted with those of fluid-fluid systems. As expected, a functionality with respect to the Number-of-Transfer-Units and the Capacity Ratio is observed. A novel dependency with respect to the Biot number is also demonstrated, whereby effectiveness decreases with increasing Biot number, due to the increasing resistance imparted by the diffusion of energy through the solids bulk. These effectiveness-NTU plots can serve as a design platform, which engineers can use to size and rate MBHEs.

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Section: Governing Equationsmentioning

confidence: 99%

Section: Governing Equationsmentioning

confidence: 99%

“…Note that the plus and minus signs correspond to the equations for the co-current [9] and counter-current [10] orientations respectively.…”

Section: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effectiveness-NTU Relationships of Parallel-Plate Moving Bed Heat Exchangers

Isaza¹,

Bussmann²

2018

Progress in Canadian Mechanical Engineering

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“…Isaza et al presented steady‐state energy equations for cocurrent and counter‐current parallel‐plate moving bed heat exchangers. Laplace transforms and expansion theorem are utilized to develop the analytical solutions of solids temperature, as well as fluid temperature . It was found that the temperature functions of counter‐current system strongly depend on the value of capacity ratio, and it is not the case in cocurrent system.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer model of a particle energy storage‐based moving packed bed heat exchanger

Yin

Zheng²,

Zhang

2019

Energy Storage

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Dynamic characteristics of a shell and plate particle‐SCO ₂ moving packed bed heat exchanger with various SCO ₂ channel configurations

Yin

Zheng

Zhang

2020

Intl J of Energy Research

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This article proposes a dynamic analysis framework for a shell and plate particle-SCO 2 moving packed bed heat exchanger (MPBE) with straight SCO 2 channel and four fins-modified SCO 2 channels, which contains a static model and a dynamic model. 13 cases covering an initial temperature deviation range of +50 ~−100 K from design-point case in solids inlet, an initial temperature deviation range of +50 ~−100 K from design-point case in SCO 2 inlet, and a SCO 2 inlet velocity range of 1.5 times to 0.05 times are introduced to measure the dynamic characteristics. Dynamic responses of five MPBE configurations to two types of inputs (step-change perturbations and linear-change perturbations) under 13 cases are analyzed. Relaxation times at each case are summarized and compared. A low threshold temperature exists for all five MPBE configurations to avoid oscillations in solids outlet temperature under stepchange perturbations in solids inlet temperature, and a low threshold SCO 2 inlet temperature just appears in MPBE with straight SCO 2 channels under step-change perturbations in SCO 2 inlet temperature. Improved MPBE configurations show apparent less relaxation time than MPBE with straight SCO 2 channel. Among four fins-modified MPBE configurations, MPBE channels modified with offset rectangular fins on SCO 2 side exert the fastest dynamic characteristic in most cases. K E Y W O R D S CSP Gen3, dynamic characteristics, dynamic heat transfer model, particle-SCO 2 moving packed bed heat exchanger | INTRODUCTIONAiming at expediting solar thermal electricity capacity and enhancing solar thermal generation cost competitiveness, research studies concerning the implement of the next generation of concentrated solar power plant (CSP Gen 3) have been gaining colossal vigor recently. [1][2][3] Compared with the first and second CSP plants of which the annual solar-electric efficiency is generally less than 20%, CSP Gen 3 entails the potential to achieve an annual solar-electric efficiency of 25%~30%. 4 The considerable improvement can be ascribed to the elevated peak operating temperature, expecting to be >700 C. Two main technologies matching peak operating temperature Abbreviations: CSP, concentrated solar power plants; MPBE, moving packed bed heat exchanger; SCO 2 , supercritical carbon dioxide; TES, thermal energy storage; PCHE, printed circuit heat exchanger.

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Co-current parallel-plate moving bed heat exchanger: An analytical solution

Cited by 23 publications

References 19 publications

Effectiveness-NTU Relationships of Parallel-Plate Moving Bed Heat Exchangers

Effectiveness-NTU Relationships of Parallel-Plate Moving Bed Heat Exchangers

Heat transfer model of a particle energy storage‐based moving packed bed heat exchanger

Dynamic characteristics of a shell and plate particle‐SCO ₂ moving packed bed heat exchanger with various SCO ₂ channel configurations

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Co-current parallel-plate moving bed heat exchanger: An analytical solution

Cited by 23 publications

References 19 publications

Effectiveness-NTU Relationships of Parallel-Plate Moving Bed Heat Exchangers

Effectiveness-NTU Relationships of Parallel-Plate Moving Bed Heat Exchangers

Heat transfer model of a particle energy storage‐based moving packed bed heat exchanger

Dynamic characteristics of a shell and plate particle‐SCO 2 moving packed bed heat exchanger with various SCO 2 channel configurations

Contact Info

Product

Resources

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Dynamic characteristics of a shell and plate particle‐SCO ₂ moving packed bed heat exchanger with various SCO ₂ channel configurations