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Explicit analytic solution for heat and mass transfer in a desiccant wheel using a simplified model

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  • Kang, Hyungmook
  • Lee, Gilbong
  • Lee, Dae-Young

Abstract

Heat and mass transfer in a desiccant wheel was modeled into a set of linear differential equations under the linearization assumptions on the temperature and humidity profiles and the psychrometric relation. The explicit analytic solutions to the temperature and humidity ratio of the outlet air were obtained using the simplified model and assessed for the validity by comparison with a numerical simulation at the range of low regeneration temperatures. The RMS (Root Mean Square) errors were evaluated less than 10% for most operation range of the air velocity, the dehumidification period and the psychrometric conditions of the regeneration air. The analysis revealed that the behavior of a desiccant wheel depends on four major dimensionless parameters: κ, σ, N, and ψ, each of which represents the sorption capacity, the thermal capacity, the transfer capacity of the wheel and the psychrometric relation of the air, respectively. The psychrometric progress of the outlet air was observed to be divided into two distinct phases, each dominated by an exponential function identified by the four parameters. Asymptotic analysis on the solutions showed that the early phase is governed by the thermal characteristics while the later phase is by the sorption characteristics of the desiccant wheel.

Suggested Citation

  • Kang, Hyungmook & Lee, Gilbong & Lee, Dae-Young, 2015. "Explicit analytic solution for heat and mass transfer in a desiccant wheel using a simplified model," Energy, Elsevier, vol. 93(P2), pages 2559-2567.
    • Handle: RePEc:eee:energy:v:93:y:2015:i:p2:p:2559-2567
    DOI: 10.1016/j.energy.2015.10.091
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    References listed on IDEAS

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    1. Stabat, Pascal & Marchio, Dominique, 2009. "Heat and mass transfer modeling in rotary desiccant dehumidifiers," Applied Energy, Elsevier, vol. 86(5), pages 762-771, May.
    2. Charoensupaya, Dhanes & Worek, William M., 1988. "Parametric study of an open-cycle adiabatic, solid, desiccant cooling system," Energy, Elsevier, vol. 13(9), pages 739-747.
    3. Majumdar, P. & Worek, W.M., 1989. "Combined heat and mass transfer in a porous adsorbent," Energy, Elsevier, vol. 14(3), pages 161-175.
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    1. Kang, Hyungmook & Choi, Sun & Lee, Dae-Young, 2018. "Analytic solution to predict the outlet air states of a desiccant wheel with an arbitrary split ratio," Energy, Elsevier, vol. 153(C), pages 301-310.
    2. Shuo Liu & Chang-Ho Jeong & Myoung-Souk Yeo, 2020. "Effect of Evaporator Position on Heat Pump Assisted Solid Desiccant Cooling Systems," Energies, MDPI, vol. 13(22), pages 1-21, November.
    3. Kang, Hyungmook & Lee, Dae-Young, 2017. "Experimental investigation and introduction of a similarity parameter for characterizing the heat and mass transfer in polymer desiccant wheels," Energy, Elsevier, vol. 120(C), pages 705-717.
    4. Saedpanah, Ehsan & Lahonian, Mansour & Malek Abad, Mahdi Zare, 2023. "Optimization of multi-source renewable energy air conditioning systems using a combination of transient simulation, response surface method, and 3E lifespan analysis," Energy, Elsevier, vol. 272(C).
    5. Wu, X.N. & Ge, T.S. & Dai, Y.J. & Wang, R.Z., 2018. "Review on substrate of solid desiccant dehumidification system," Renewable and Sustainable Energy Reviews, Elsevier, vol. 82(P3), pages 3236-3249.

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