Analytical series solution for the fully developed forced convection duct flow with frictional heating and variable viscosity

Heat and Mass Transfer/Waerme- und Stoffuebertragung

Volumn 44, Issue 2, 2007, Pages 251-259

  Magyari, E ^a   Barletta, A ^b  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF BOLOGNA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW VELOCITY; FORCED CONVECTION; LAMINAR FLOW; PRESSURE GRADIENT; VISCOSITY;

CIRCULAR DUCTS; ENERGY EQUATIONS; FLUID VELOCITY; FRICTIONAL HEATING; POISEUILLE MODELS;

DUCTS;

EID: 35348874229     PISSN: 09477411     EISSN: 14321181     Source Type: Journal    
DOI: 10.1007/s00231-007-0242-y     Document Type: Article

References (20)

1. Shah RK, London AL (1978) Laminar flow forced convection in ducts, Advances in Heat Transfer, supplement 1. Academic, New York
2. Lin TF, Hawks KH, Leidenfrost W (1983) Analysis of viscous dissipation effect on thermal entrance heat transfer in laminar pipe flows with convective boundary conditions. Wärme- und Stoffübertragung 17:97-105
3. Ou JW, Cheng KC (1974) Viscous dissipation effects on thermal entrance heat transfer in laminar and turbulent pipe flows with uniform wall temperature. AIAA/ASME 1974 Thermophysics and Heat Transfer Conference, AIAA Paper No. 74-743, ASME Paper No. 74-HT-50
4. Hausenblas H (1950) Die nichtisotherme laminare Strömung einer zähen Flüssigkeit durch enge Spalte und Kapillarröhren. Ingenieur Archiv 18:151-166
5. Kearsley EA (1962) The viscous heating correction for viscometer flow. Trans Soc Rheol VI:253-261
6. Joseph DD (1964) Variable viscosity effects on the flow and stability of flow in channels and pipes. Phys Fluids 7:1761-1771
7. Davis SH, Kriegsmann GA, Laurence RL, Rosenblat S (1983) Multiple solutions and hysteresis in steady parallel viscous flows. Phys Fluids 26:1177-1182
8. Herwig H, Wickern G (1986) The effect of variable properties on laminar boundary layer flow. Wärme- und Stoffübertragung 20:47-57
9. Filatoff N, Lasek A (1989) On variable viscosity magma flow. Int J Heat Mass Transf 32:2485-2492
10. Lai FC, Kulacki FA (1990) The effect of variable viscosity on convective heat transfer along a vertical surface in a saturated porous medium. Int J Heat Mass Transf 33:1028-1031
11. Pop I, Gorla RSR, Rashidi M (1992) The effect of variable viscosity on flow and heat transfer to a continuous moving flat plate. Int J Eng Sci 30:l-6
12. Shin S, Cho YI, Gringrich WK, Shyy W (1993) Numerical study of laminar heat transfer with temperature dependent fluid viscosity in a 2:1 rectangular duct. Int J Heat Mass Transf 36:4365-4372
13. Etemad SGh, Mujumdar AS (1995) Effects of variable viscosity and viscous dissipation on laminar convection heat transfer of a power law fluid in the entrance region of a semi circular duct. Int J Heat Mass Transf 38:2225-2238
14. Moresi LN, Solomatov VS (1995) Numerical investigation of 2D convection with extremely large viscosity variations. Phys Fluids 7:2154-2162
15. Elbashbeshy EMA, Bazid MAA (2000) The effect of temperature-dependent viscosity on heat transfer over a continuous moving surface. J Phys D Appl Phys 33:2716-2721
16. Barletta A, Zanchini E (2001) Mixed convection with variable viscosity in an inclined channel with prescribed wall temperatures. Int Comm Heat Mass Transf 28:1043-1052
17. Ali ME (2006) The effect of variable viscosity on mixed convection heat transfer along a vertical moving surface. Int J Therm Sci 45:60-69
18. Pantokratoras A (2006) The classical plane Couette-Poiseuille flow with variable fluid properties. ASME J Fluids Eng 128:1115-1121
19. Hatschek E (1929) Die Viskosität der Flüssigkeiten. Th.Steinkopff-Verlag, Dresden
20. Abramowitz M, Stegun IA (1972) Handbook of mathematical functions, chap. 9. National Bureau of Standards, Washington DC