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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2012, Vol. 33 ›› Issue (9): 1571-1577.

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A Ternary Linear Regression Model and Its Coefficients Identification of Heat Transfer Efficiency for Plate-fin Heat Exchanger

DONG Sujun, WANG Kai, GAO Hongxia, WANG Jun   

  1. 1. School of Aeronautics Science and Engineering, Beihang University, Beijing 100191, China;
    2. Fundamental Science on Ergonomics and Environment Control Laboratory, Beihang University, Beijing 100191, China
  • Received:2012-03-14 Revised:2012-04-05 Online:2012-09-25 Published:2012-09-22

Abstract: In view of the requirements of system simulation, a ternary linear regression model of a plate-fin heat exchanger is developed between the number of transfer units (NTU) and mass flow rates of the fluid of the two sides under certain convective heat transfer criteria while ignoring the wall thermal resistance of the heat exchanger and the variation of the fluid thermo-physical properties. Based on a few heat exchanger performance test data, the model coefficients can be accurately determined by the least squares method embedded in MATLAB. And then the efficiency surface of the heat transfer can be easily obtained. Comparative study results show that the model needs only a little experimental data, and has a high fitting accuracy and certain robustness. Even if the heat exchanger structure properties or the fitting formulas of heat transfer factor are not accurately known, a reasonable efficiency surface of the heat exchanger can be obtained by using a small amount of test data. These results can help solve the difficulties of parameter input of a heat exchanger model in system simulation.

Key words: linear regression, plate-fin heat exchanger, heat transfer efficiency, system simulation, coefficients identification

CLC Number: