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TECHNICAL PAPERS: Radiative Heat Transfer

A Holistic Optimization of Convecting-Radiating Fin Systems

[+] Author and Article Information
M. Sasikumar, C. Balaji

Heat Transfer and Thermal Power Laboratory, Department of Mechanical Engineering, Indian Institute of Technology Madras, Chennai 600 036, India

J. Heat Transfer 124(6), 1110-1116 (Dec 03, 2002) (7 pages) doi:10.1115/1.1497358 History: Received January 31, 2001; Revised May 29, 2002; Online December 03, 2002
Copyright © 2002 by ASME
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References

Harahap,  F., and McManus,  H. N., 1967, “Natural Convection Heat Transfer From Horizontal Rectangular Fin Arrays,” ASME J. Heat Transfer, 89, pp. 32–38.
Jones,  C. D., and Smith,  L. F., 1970, “Optimum Arrangement of Rectangular Fins on Horizontal Surfaces for Free Convection Heat Transfer,” ASME J. Heat Transfer, 92, pp. 6–10.
Donovan,  R. C., and Rohrer,  W. M., 1971, “Radiative and Convective Conducting Fins on a Plane Wall, Including Mutual Irradiation,” ASME J. Heat Transfer, 93, pp. 41–46.
Rammohan Rao,  V., and Venkateshan,  S. P., 1996, “Experimental Study of Free Convection and Radiation in Horizontal Fin Arrays,” Int. J. Heat Mass Transf., 39(4), pp. 779–789.
Bejan,  A., 1980, “Second Law Analysis in Heat Transfer,” Energy, 5, pp. 721–732.
Nag,  P. K., and Mukherjee,  P., 1987, “Thermodynamic Optimization of Convective Heat Transfer Through a Duct with Constant Wall Temperature,” Int. J. Heat Mass Transf., 30(2), pp. 401–405.
Balaji,  C., Sri Jayaram,  K., and Venkateshan,  S. P., 1996, “Thermodynamic Optimization of Tubular Space Radiators,” J. Thermophys. Heat Transfer, 10(4), pp. 705–707.
Kern, D. Q., and Kraus, A. D., 1972, Extended Surface Heat Transfer, McGraw-Hill, New York.
Mackay, D. B., 1963, Design of Space Powerplants, Prentice-Hall Inc., NJ.
Churchill,  S. W., and Chu,  H. H. S., 1975, “Correlating Equations for Laminar and Turbulent Free Convection from a Vertical Plate,” Int. J. Heat Mass Transf., 18, pp. 1323–1328.
Siegel, R., and Howell, J. R., 1972, Thermal Radiation Heat Transfer, McGraw-Hill, New York.
Bejan, A., 1982, Entropy Generation Through Heat and Fluid Flow, Wiley-Interscience Publication, New York.
Sunilkumar, S., 1993, “A Numerical Study of Optimized Space Radiators,” PhD thesis, Department of Mechanical Engineering, Indian Institute of Technology, Madras.
Balaji,  C., and Venkateshan,  S. P., 1995, “Combined Conduction, Convection and Radiation in a Slot,” Int. J. Heat Fluid Flow, 16, pp. 139–144.

Figures

Grahic Jump Location
Schematic of the physical system being investigated. The figure shows a general case of trapezoidal-profiled fins arranged on a horizontal duct
Grahic Jump Location
Asymptotic validation plot shows the agreement of numerical values of total heat dissipation rate with analytical solution (H=0.10 m,s=0.05 m,tb=0.0015 m,Tin=400 K, and n=10)
Grahic Jump Location
Comparison of dimensionless fluid temperature values of the present analysis with data of numerical analysis of Sunilkumar 13 for a particular combination of parameters (mCp=14 W/m⋅K,k=114 W/m⋅K,L=0.50 m,Tin=450 K,H=0.08 m,n=12, and ε=0.50)
Grahic Jump Location
Variation of total heat transfer rate per unit mass with various fin heights for three fin profiles. The following parameters are considered: (n=10,L=1.0 m,D=0.03 m,mf=0.25 kg/s, and ε=0.50)
Grahic Jump Location
Variation of total entropy generation rate with duct spacing for three fin profiles. The graph is plotted for the following of parameters (n=10,L=1.0 m,H=0.05 m,mf=0.25 kg/s, and ε=0.50)
Grahic Jump Location
Variation of total heat transfer rate per unit mass with duct spacing for three fin profiles and the following combination of parameters (n=10,L=1.0 m,H=0.05 m,mf=0.25 kg/s, and ε=0.50)
Grahic Jump Location
Comparison of convection and radiation mode of heat transfer. The figure shows the variation of total heat transfer rate per unit mass with fin height for various emissivities and the following parameter values (L=1.0 m,D=0.03 m, and mf=0.25 kg/s)
Grahic Jump Location
Plot showing the variation of dimensional heat dissipation rate per unit system mass and dimensionless entropy generation rate with various mass flow rates and the following set of parameters (n=15,L=1.5 m,D=0.03 m,H=0.03 m, and ε=0.80)

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