Modelling of heat transfer in a laminar flow through a helical pipe

Mathematical and Computer Modelling

Volumn 50, Issue 11-12, 2009, Pages 1571-1582

  Marušić Paloka, Eduard ^a   Pažanin, Igor ^a  

^a UNIVERSITY OF ZAGREB   (Croatia)

Author keywords

Asymptotic expansion; Heat transfer; Helical pipe

Indexed keywords

ASYMPTOTIC EXPANSION; ERROR ESTIMATES; HELICAL PIPE; INCOMPRESSIBLE NEWTONIAN FLUID; SIMPLIFIED MATHEMATICAL MODEL;

FLUID DYNAMICS; HEAT EXCHANGERS; HEAT TRANSFER; LAMINAR FLOW; MATHEMATICAL MODELS; PIPE;

ASYMPTOTIC ANALYSIS;

EID: 70350570514     PISSN: 08957177     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.mcm.2009.09.006     Document Type: Article

References (20)

1. Dean W.R. Note on the motion of fluid in a curved pipe. Phil. Mag. 4 7 (1927) 208-223
2. Dean W.R. The stream-line motion of fluid in a curved pipe. Phil. Mag. 5 7 (1928) 673-695
3. Naphon P., and Wongwises S. A review of flow and heat transfer characteristics in curved tubes. Renew. Sust. Energ. Rev. 10 (2006) 463-490
4. Zeytounian R.Kh. Joseph Boussinesq and his approximation: A contemporary view. C. R. Méc. 331 (2003) 575-586
5. Gray D.D., and Giorgini A. The validity of the Boussinesq approximation for liquids and gases. Int. J. Heat Mass Transfer 19 (1975) 545-551
6. Marušić-Paloka E., and Pažanin I. Fluid flow through a helical pipe. Z. Angew. Math. Phys 58 1 (2007) 81-99
7. Germano M. On the effect of torsion on a helical pipe flow. J. Fluid Mech. 125 (1982) 1-8
8. Germano M. The Dean equations extended to a helical pipe flow. J. Fluid Mech. 203 (1989) 289-305
9. Marušić-Paloka E., and Pažanin I. Effective flow of a viscous liquid through a helical pipe. C. R. Méc. 332 (2004) 973-978
10. Xie G.D. Torsion effect on secondary flow in a helical pipe. Int. J. Heat Fluid Flow 11 2 (1990) 114-119
11. Wang C.Y. On the low-Reynolds-number flow in a helical pipe. J. Fluid Mech. 108 (1981) 185-194
12. Marušić-Paloka E., and Pažanin I. Non-isothermal fluid flow through a thin pipe with cooling. Appl. Anal. 88 4 (2009) 495-515
13. Marušić-Paloka E., and Pažanin I. On the effects of curved geometry on heat conduction through a distorted pipe. Nonlinear Anal. RWA (2009) 10.1016/j.nonrwa.2008.09.016
14. Landau L., and Lifchitz E. Physique théorique: Mécanique des fluides. 3ème éd. (1994), Elsevier, Paris, Ellipses
15. Marušić-Paloka E. The effects of flexion and torsion for a fluid flow through a curved pipe. Appl. Math. Opt. 44 (2001) 245-272
16. Bernardi C., Métivet B., and Pernaud-Thomas B. Couplage des équations de Navier-Stokes et de la chaleur: le modčle et son approximation par éléments finis. Math. Modelling Numer. Anal. 29 7 (1995) 871-921
17. Heywood J.G., Rannacher R., and Turek S. Artificial boundaries and flux and pressure conditions for the incompressible Navier-Stokes equations. Internat. J. Numer. Methods Fluids 22 (1996) 325-352
18. Pažanin I. On the solvability of a problem of stationary fluid flow in a helical pipe. Math. Problems Eng. vol. 2009 (2009) 10 pages Article ID 957061
19. Aganović I. An Introduction to Boundary Value Problems of Continuum Mechanics (2003), Element, Zagreb (in Croatian)
20. Marušić S., and Marušić-Paloka E. Two-scale convergence for thin domains and its applications to some lower-dimensional models in fluid mechanics. Asymptot. Anal. 23 1 (2000) 23-58