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TECHNICAL PAPERS: Heat Exchangers

Effectiveness-NTU Relations for Heat Exchangers With Streams Having Significant Kinetic Energy Variation

[+] Author and Article Information
Gregory F. Nellis

Department of Mechanical Engineering, University of Wisconsin, Room 1339 Engineering Research Building, 1500 Engineering Drive, Madison, WI 53706

J. Heat Transfer 125(2), 377-387 (Mar 21, 2003) (11 pages) doi:10.1115/1.1560154 History: Received April 23, 2001; Revised November 06, 2002; Online March 21, 2003
Copyright © 2003 by ASME
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References

Hay,  N., and West,  J. W., 1975, “Heat Transfer in Free Swirling Flows in a Pipe,” ASME J. Heat Transfer, 97, pp. 411–416.
Chang,  F., and Dhir,  V. K., 1994, “Turbulent Flow Field in Tangentially Injected Swirl Flows in Tubes,” Int. J. Heat Mass Transf., 15(5), pp. 346–356.
Abdulhadi,  M., 1986, “Dynamics of Compressible Air Flow in Ducts with Heat Exchange,” Can. Aeronautics Space J., 4(32), pp. 306–313.
Vargas,  J. V. C., and Bejan,  A., 2001, “Thermodynamic Optimization of Finned Crossflow Heat Exchangers for Aircraft Environmental Control Systems,” Int. J. Heat Mass Transf., 22, pp. 657–665.
Kays, W. M., and London, A. L., 1998, Compact Heat Exchangers, Reprint 3rd ed., Krieger Publishing, Malabar, FL.
Bruun,  H. H., 1969, “Experimental Investigation of the Energy Separation in Vortex Tubes,” J. Mech. Eng. Sci., 11(6), pp. 567–582.
Takahama,  H., and Yokosawa,  H., 1981, “Energy Separation in Vortex Tubes With a Divergent Chamber,” ASME J. Heat Transfer, 103, pp. 196–203.
Kaiser,  G., Reisig,  L., Thurk,  M., and Seidel,  P., 1998, “About a New Type of Closed-Cycle Cryocooler Operating by Use of the Bernoulli Effect,” Cryogenics, 38(9), pp. 937–942.

Figures

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A counter-flow heat exchanger
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A parallel-flow heat exchanger
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Effectiveness of a counter-flow heat exchanger predicted by Eq. (25) in the absence of kinetic energy (β=βch=0)
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Effectiveness of a parallel-flow heat exchanger predicted by Eq. (25) in the absence of kinetic energy (β=βch=0)
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Nondimensional temperature as a function of X for different values of βc in a balanced, counter-flow heat exchanger (NTUc=NTUh=2.0,χc=1.0,βh=0.0)
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Effectiveness as a function of NTUh for different values of βc in a balanced, counter-flow heat exchanger (NTUc=NTUhc=1.0,βh=0.0)
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Effectiveness as a function of NTUh for different values of βc in a balanced, parallel-flow heat exchanger (NTUc=NTUhc=1.0,βh=0.0)
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Nondimensional temperature as a function of X for different values of χc in a balanced, counter-flow heat exchanger (NTUc=NTUh=2,βc=0.5,βh=0.0)
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Effectiveness as a function of χc for different values of βc in a balanced, counter-flow heat exchanger (NTUc=NTUh=2.0,βh=0.0)
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Effectiveness as a function of χc for different values of βc in a balanced, parallel-flow heat exchanger (NTUc=NTUh=2.0,βh=0.0)
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Fractional deviation in effectiveness as a function of NTUh for different values of βc in a balanced, counter-flow heat exchanger (NTUc=NTUhc=1.0,βh=0.0)
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Fractional deviation in effectiveness as a function of βc for different values of χc in a balanced, counter-flow heat exchanger (NTUc=NTUhh=0.0)
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Nondimensional temperature as a function of X for different values of βh in a balanced, counter-flow heat exchanger (NTUc=NTUh=2.0,χh=1.0,βc=0.0)
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Effectiveness as a function of NTUh for different values of βh in a balanced, counter-flow heat exchanger (NTUc=NTUhh=1.0,βc=0.0)
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Effectiveness as a function of NTUh for different values of βh in a balanced, parallel-flow heat exchanger (NTUc=NTUhh=1.0,βc=0.0)
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Fractional deviation in effectiveness as a function of βh for different values of χh in a balanced, counter-flow heat exchanger (NTUc=NTUhc=0.0)
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Fractional deviation in effectiveness as a function of χ=χhc for different values of β=βhc in a balanced, counter-flow heat exchanger (NTUc=NTUh)
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Effectiveness as a function of cold- to hot-side capacity ratio for various values of βc in a counter-flow heat exchanger (NTUmax=2.0,βh=0,χc=1.0)
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Fractional deviation in effectiveness as a function of the cold- to hot-side capacity ratio for various values of βc in a counter-flow heat exchanger (NTUmax=2.0,βh=0,χc=1.0)
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Schematic of the “Bernoulli” effect cryocooler
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Heat exchanger core geometry
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Velocity and pressure distribution in Bernoulli cryocooler (Neon with vc,out=25 m/s,Pc,out=100 kPa, all other conditions as listed in Table 1)
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Calculated kinetic energy distribution and the corresponding best-fit exponential for Bernoulli cryocooler (Neon with vc,out=25 m/s,Pc,out=100 kPa, all other conditions as listed in Table 1)
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Coefficient of performance as a function of the cold exit velocity for various cold exit pressures and the results from Kaiser et al. 8 for Bernoulli cryocooler (Neon with all other conditions as listed in Table 1)

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