Semi-analytical approximations of the laminar friction coefficients for flow in conduits with polygonal cross-section

Acta Mechanica

Volumn 158, Issue 3-4, 2002, Pages 127-144

  Kolodziej, J A ^a   Uscilowska, A ^a   Cialkowski, M ^a  

^a POZNAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FRICTION; PROBLEM SOLVING; STEADY FLOW; VELOCITY MEASUREMENT;

BOUNDARY COLLOCATION METHODS;

LAMINAR FLOW;

EID: 0036444062     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01176904     Document Type: Article

References (7)

1. Gerhart, P.M., Gross, R.J., Hochstein, J.I.: Fundamentals of fluid mechanics, 2nd ed., p. 502. New York: Addison-Wesley 1992.
2. Cheng, K.C.: Laminar flow and heat transfer characteristics in regular polygonal ducts. In: Proc. 3rd Int. Heat Transf. Conf. AIChE 1, pp. 64-76. 3rd Int. Heat Transfer Conference AIChE, 1966.
3. Ratkowsky, D.A., Epstein, N.: Laminar flow in regular polygonal shaped ducts with circular centred cores. Canadian J. Chem. Engng 46, 387-388 (1968).
4. Aparecido, J.B., Cotta, R.M.: Laminar flow inside hexagonal ducts. Comp. Mech. 6, 93-100 (1990).
5. Kolodziej, J.A., Uscilowska, A.: Trefftz-type procedure for Laplace equation on domains with circular holes, circular inclusions, corners, slits, and symmetry. Comp. Ass. Mech. Engng Sci., 4, 501-519 (1997).
6. Marquardt, D.W.: An algorithm for least squares estimation of nonlinear parameters. J. Soc. Industrial Appl. Math. 2, 431-441 (1963).
7. Collatz, L.: Metody numeryczne rozwia̧zywania równań różniczkowych (Polish translation of: Numerische Behandlung von Differentialgleichungen. Berlin: Springer 1955), 1st ed., p. 406. Warszawa: PWN 1960.