Research Papers: Forced Convection

Heat Transfer to Supercritical Water in a Horizontal Pipe: Modeling, New Empirical Correlation, and Comparison Against Experimental Data

[+] Author and Article Information
Majid Bazargan

Department of Mechanical Engineering, K. N. Toosi University of Technology, Tehran 1999 143 344, Iranbazargan@kntu.ac.ir

Daniel Fraser

Department of Mechanical and Industrial Engineering, University of Manitoba, Winnipeg, MB, R3T 5V6, Canadafraser@cc.umanitoba.ca

J. Heat Transfer 131(6), 061702 (Mar 31, 2009) (9 pages) doi:10.1115/1.3082403 History: Received August 23, 2007; Revised August 23, 2008; Published March 31, 2009

Enhancement of heat transfer to supercritical fluids has drawn the attentions of many researchers within the past few decades. Modeling and predicting heat transfer to turbulent flow of supercritical fluids, however, are very complicated due to severe variations of fluid properties near the critical point. Large discrepancies between available heat transfer data are greatly due to confusion of forced convection and mixed convection data. The data unaffected by buoyancy have been selected cautiously from a large database generated in this study. Such data have been used to develop a 1D numerical model as well as a semi-empirical correlation to predict forced convection heat transfer to turbulent flow of supercritical water. In the numerical model, radial variations of heat flux and shear stress are taken into account. Modifications to turbulent Prandtl number and wall shear stress formulations have been applied to a law of the wall type of model to fit supercritical conditions. The model shows good agreement with experiments. In the experimental part, the extensive database obtained on a full-scale test facility in the present study, plus a new conceptual approach, has been employed together to develop a semi-empirical heat transfer correlation. It accurately predicts the experiments.

Copyright © 2009 by American Society of Mechanical Engineers
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Figure 1

Variations of properties of water with temperature at P=24 MPa

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Figure 2

Schematic of the SCWO facility

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Figure 3

Comparison of predictions of the present model utilizing various expressions for eddy diffusivity with experiments; P=25.2 MPa, q″=307 kW/m2, and G=964 kg/m2 s

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Figure 4

Effect of the expression used for shear stress at the wall on heat transfer; P=25.2 MPa, G=965 kg/m2 s, and q″=307 kW/m2

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Figure 5

The effect of Prt on local heat transfer coefficients; P=25.2 MPa, G=965 kg/m2 s, and q″=307 kW/m2

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Figure 6

Comparison of model predictions (equation of Hollingsworth (19) used for Prt) with experiments. Test conditions are the same as Fig. 5.

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Figure 7

Comparison of correlations under no buoyancy conditions tried by Yamagata (23); P=24.5 MPa, q″=233 kW/m2, G=1260 kg/m2 s, and D=7.5 mm

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Figure 8

Variations of Tref with respect to Tb and Tw along the test section; P=25.2 MPa, q″=307 kW/m2, G=965 kg/m2 s, and D=6.3 mm

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Figure 9

Typical variation of izone=(ipc−ib)/(ipc−iw) along the test section

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Figure 10

Results of the correlation of this study compared with others and experiment; P=25.2 MPa, q″=307 kW/m2, G=965 kg/m2 s, and D=6.3 mm

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Figure 11

Heat transfer coefficients measured by Yamagata (23)

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Figure 12

Heat transfer coefficients predicted by the empirical correlations of this and other studies. Test conditions are the same as Fig. 1.




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