Mathematical analysis of the length-of-arc assumption

Heat Transfer Engineering

Volumn 17, Issue 2, 1996, Pages 67-71

  Graff, Samuel ^a   Snider, Arthur David ^b  

^a JOHN JAY COLLEGE OF CRIMINAL JUSTICE   (United States)

^b University of South Florida   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW MEASUREMENT; HEAT TRANSFER; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; PERTURBATION TECHNIQUES;

BIOT NUMBERS; LENGTH OF ARC ASSUMPTION; OPTIMAL FIN PROFILE; SCHMIDT-DUFFIN SOLUTION;

FINS (HEAT EXCHANGE);

EID: 0030122246     PISSN: 01457632     EISSN: 15210537     Source Type: Journal    
DOI: 10.1080/01457639608939874     Document Type: Article

References (10)

1. Harper, D. R., and Brown, W. B., Mathematical Equations for Heat Conduction in the Fins of Air Cooled Engines, NACF Report 158, 1922.
2. Schmidt, E., Z.W.D.I., vol. 70, pp. 885–889, 947–951, 1922.
3. Duffin, R. J., J. Math. Mech, vol. 8, pp. 47–56, 1959.
4. Maday, C. J., The Minimum Weight One-Dimensional Straight Fin, ASME J. Eng. Ind., vol. 96, pp. 161–165, 1974.
5. Snider, A. D., The Optimal Fin Profile-A Study in Numerics, Heuristics, and Rigor, Proc. 5th ICMM, Berkeley, CA, Pergamon Press, New York, 1985. (Also published in Math. Model., vol. 8, pp. 480–485, 1987.)
6. Snider, A. D., and Kraus, A. D., The Quest for the Optimal Longitudinal Fin Profile, Heat Transfer Eng., vol. 8, no. 2, pp. 19–25, 1987.
7. Kraus, A. D., Snider, A. D., and Doty, L. F., An Efficient Algorithm for Evaluating Arrays of Extended Surface, J. Heat Transfer, vol. 100, pp. 288–293, 1978.
8. Snider, A. D., Mathematical Techniques in Extended Surface Analysis, Math. Model., vol. 3, pp. 191–206, 1982.
9. Kraus, A. D., and Snider, A. D., New Parametrizations for Heat Transfer in Fins and Spines, J. Heat Transfer, vol. 102, pp. 415–419, 1980.
10. Snider, A. D., and Kraus, A. D., Recent Developments in the Analysis and Design of Extended Surface, J. Heat Transfer, vol. 105, pp. 302–306, 1983.