THERMAL SCIENCE
International Scientific Journal
HAGEN NUMBER VERSUS BEJAN NUMBER
ABSTRACT
This study presents Hagen number vs. Bejan number. Although their physical meaning is not the same because the former represents the dimensionless pressure gradient while the latter represents the dimensionless pressure drop, it will be shown that Hagen number coincides with Bejan number in cases where the characteristic length (l) is equal to the flow length (L). Also, a new expression of Bejan number in the Hagen-Poiseuille flow will be introduced. At the end, extending the Hagen number to a general form will be presented. For the case of Reynolds analogy (Pr = Sc = 1), all these three definitions of Hagen number will be the same.
KEYWORDS
PAPER SUBMITTED: 2013-08-21
PAPER ACCEPTED: 2013-08-25
PUBLISHED ONLINE: 2013-08-25
THERMAL SCIENCE YEAR
2013, VOLUME
17, ISSUE
Issue 4, PAGES [1245 - 1250]
- Poiseuille, J. L. M., Experimental Research on the Movement of Liquids in Tubes of Very Small Diameters; I. Influence of Pressure on the Amount of Liquid which Passes through the Tubes of Very Small Diameters (in French), C. R. Acad. Sci. II (1840), pp. 691-967
- Poiseuille, J. L. M., Experimental Research on the Movement of Liquids in Tubes of Very Small Diameters; II. Influence of the Length on the Amount of Liquid Passing through the Tubes of Very Small Diameters; III. Influence of the Diameter on the Amount of Liquid Passing through the Tubes of Very Small Diameters (in French), C. R. Acad. Sci. II (1840), pp. 1041-1048
- Poiseuille, J. L. M., Experimental Research on the Movement of Liquids in Tubes of Very Small Diameters (in French), In Mémoires presentés par divers savants a l'Académie Royale des Sciences de l'Institut de France, IX (1846), pp. 433-544
- Hagen, G. H. L., About the Movement of Water in Narrow Cylindrical Tubes (in German), Poggendorf's Annalen der Physik und Chemie, 46 (1839), pp. 423-442
- Sutera, S. P., Skalak, R., The History of Poiseuille's Law, Annual Review of Fluid Mechanics, 25 (1993), pp. 1-19
- Pfitzner, J., Poiseuille and His Law, Anaesthesia, 31 (1976), 2, pp. 273-275
- Shah, R. K., London, A. L., Advances in Heat Transfer, Suppl. 1, Laminar Forced Flow Convection in Ducts, Academic Press, New York, USA, 1978
- Martin, H., The Generalized Leveque Equation and its Practical use for the Prediction of Heat and Mass Transfer Rates from Pressure Drop, Chemical Engineering Science, 57 (2002), 16, pp. 3217-3223
- Gaddis, E. S., Gnielinski, V., Pressure Drop in Cross Flow Across Tube Bundles, International Journal of Chemical Engineering, 25 (1985), 1, pp. 1-15
- Shah, R. K., Sekulic, D., Fundamentals of Heat Exchanger Design, John Wiley and Sons, Inc., New York, USA, 2003
- Martin, H., Chapter A2 - Dimensionless Numbers, in: VDI Heat Atlas, 2nd ed., Springer-Verlag, Berlin Heidelberg, 2010, pp. 11-13
- Bhattacharjee, S., Grosshandler,W. L., The Formation of a Wall Jet Near a High Temperature Wall under Microgravity Environment, Proceedings, ASME 1988 National Heat Transfer Conference, Houston, Tex., USA, Vol. 1 (A89-53251 23-34), pp. 711-716, 1988
- Bejan, A., Convection Heat Transfer, 1st ed., John Wiley and Sons, Inc., New York, USA, 1984
- Bejan, A., Sciubba, E., The Optimal Spacing of Parallel Plates Cooled by Forced Convection, International Journal of Heat and Mass Transfer 35 (1992), 12, pp. 3259-3264
- Awad,M. M., Lage, J. L., Extending the Bejan Number to a General Form, Thermal Science, 17 (2013), 2, pp. 631-633
- Petrescu, S., Comments on the Optimal Spacing of Parallel Plates Cooled by Forced Convection, International Journal of Heat and Mass Transfer, 37 (1994), 8, pp. 1283
- Awad, M. M., A New Definition of Bejan Number, Thermal Science, 16 (2012), 4, pp. 1251-1253
