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A control-oriented modeling approach for two-phase flow plate heat exchanger

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Abstract

In this paper, a simple yet accurate model is proposed for real-time control and optimization of two-phase flow plate heat exchanger (PHE). The model is derived with selected controllable or measurable I/O parameters and heat mass transfer equations by mechanism analysis. The linear and nonlinear least-squares methods are adopted to identify unknown or empirical parameters to reduce the error of evaluation and prediction in applications. The modeling approach takes advantages of both mechanism and empirical model, which has the effectiveness that the unreachable parameters are eliminated while the computation is reduced with wide operating range. Validation was carried out in a substation in a district heating system, and the testing results showed that the proposed model can predict the performance of the PHE with a maximum error less than ±8% that satisfied the requirements of real-time control and optimization in applications.

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Abbreviations

A :

Area

b :

Coefficient

c :

Coefficient

C p :

Specific heat capacity at constant pressure (kJ kg−1 °C−1)

h :

Average heat transfer coefficient (kW m−2 K−1)

H :

Specific enthalpy (kJ kg−1)

K :

Thermal conductivity (kW m−1 °C−1)

M :

Mass flow rate (kg s−1)

NuD :

Nusselt number

P :

Pressure (bar)

Pr :

Prandtl number

Q :

Heat transfer (KJ)

Re D :

Reynolds number

T :

Temperature (°C)

u :

Velocity (m s−1)

V :

Volume (L)

Δ:

Difference

Μ :

Velocity (m s−1)

ρ :

Density (kg m−3)

η :

Efficiency of plate heat exchanger

e, f:

Coefficient

SF, sf:

Second flow of plate heat exchanger

WF, wf:

First flow of plate heat exchanger

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Acknowledgements

The work was funded by the Fundamental Research funds of Shandong University under the Grant No. 2014JC022 and the Natural Science Foundation of Shandong Province of China under the Grant No. ZR2016FM24.

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Authors and Affiliations

  1. School of Control Science and Engineering, Shandong University, Jinan, 250061, People’s Republic of China

    Wenhui Sun, Dongyan Chen, Lei Wang & Wei Peng

Authors
  1. Wenhui Sun
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  2. Dongyan Chen
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  3. Lei Wang
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  4. Wei Peng
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Correspondence to Dongyan Chen.

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Sun, W., Chen, D., Wang, L. et al. A control-oriented modeling approach for two-phase flow plate heat exchanger. J Therm Anal Calorim 131, 1735–1746 (2018). https://doi.org/10.1007/s10973-017-6648-y

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  • DOI: https://doi.org/10.1007/s10973-017-6648-y

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