Onset of Flow Instability in a Heated Capillary

Part of the Heat and Mass Transfer book series (HMT)


The capillary flow with distinct evaporativemeniscus is described in the frame of the quasi-dimensional model. The effect of heat flux and capillary pressure oscillations on the stability of laminar flow at small and moderate Peclet number is estimated. It is shown that the stable stationary flow with fixed meniscus position occurs at low wall heat fluxes (Pe≪1), whereas at high wall heat fluxes Pe ≥ 1, the exponential increase of small disturbances takes place. The latter leads to the transition from stable stationary to an unstable regime of flow with oscillating meniscus.


Heat Transfer Capillary Pressure Heat Mass Transfer Peclet Number Flow Instability 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Adams TM, Abdel-Khalik SI, Jeter SM, Qureshi ZH (1998) An experimental investigation of single-phase forced convection in micro-channels. Int J Heat Mass Transfer 41:851–857CrossRefGoogle Scholar
  2. Bailey DK, Ameel TA, Warrington RO, Savoie TI (1995) Single-phase forced convection heat transfer in microgeometries: a review ASME. IECEC paper ES-396:301–310Google Scholar
  3. Bejan A (1993) Heat transfer. Wiley, New YorkGoogle Scholar
  4. Blake TD (1993) Dynamic contact angles and wetting kinetics. In: Berg JC (ed) Wettability. Dekker, New York, pp 251–309Google Scholar
  5. Bowers MB, Mudawar I (1994) High flux boiling in low flow rate, low pressure drop mini-channel and micro-channel heat sinks. Int J Heat Mass Transfer 37:321–332CrossRefGoogle Scholar
  6. Cox RG (1986) The dynamics of the spreading of liquids on a solid surface. Part 1: Viscous flows. J Fluid Mech 168:169–194zbMATHCrossRefGoogle Scholar
  7. Dussan EBV (1979) On the spreading of liquids on solid surfaces: static and dynamic contact lines. Ann Rev Fluid Mech 11:371–400CrossRefGoogle Scholar
  8. Grigoriev VA, Zorin VM (eds) (1982) Heat mass transfer. Thermal experiment reference book. Energoizdat, Moscow (in Russian)Google Scholar
  9. Hetsroni G, Yarin LP, Pogrebnyak E (2004) Onset of flow instability in a heated capillary tube. Int J Multiphase Flow 30:1421–1449zbMATHCrossRefGoogle Scholar
  10. Hoffman R (1975) A study of the advancing interface. I. Interface shape in liquid gas system. J Colloid Interface Sci 50:228–241CrossRefGoogle Scholar
  11. Incropera FP (1999) Liquid cooling of electronic devices by single-phase convection. Wiley, New YorkGoogle Scholar
  12. Khrustalev D, Faghri D (1996) Fluid flow effect in evaporation from liquid–vapor meniscus. J Heat Transfer 118:725–730CrossRefGoogle Scholar
  13. Kistler SF (1993) Hydrodynamics of wetting. In: Berg JC (ed) Wettability. Dekker, New York, pp 311–429Google Scholar
  14. Korn GA, Korn TM (1968) Mathematical handbook. McGraw-Hill, BostonGoogle Scholar
  15. Landau LD, Lifshitz EM (1959) Fluid mechanics, 2nd edn. Pergamon, LondonGoogle Scholar
  16. Morijama K, Inoue A (1992) The thermodynamic characteristics of two-phase flow in extremely narrow channels (the frictional pressure drop and heat transfer of boiling two-phase flow, analytical model). Heat Transfer Jpn Res 21:838–856Google Scholar
  17. Ngan CD, Dussan EBV (1982) On the nature of the dynamic contact angle: an experimental study. J Fluid Mech 118:27–40CrossRefGoogle Scholar
  18. Ory E, Yuan H, Prosperetti A (2000) Growth and collapse of vapor bubble in narrow tube. Phys Fluid 12:1268–1277zbMATHCrossRefGoogle Scholar
  19. Peles YP, Yarin LP, Hetsroni G (1998) Heat transfer of two-phase flow in heated capillary. In: Heat Transfer 1998, Proceedings of the 11th International Heat Transfer Conference, Kyongju, Korea, 23–28 August 1998, vol 2, pp 193–198Google Scholar
  20. Peles YP, Yarin LP, Hetsroni G (2000) Thermodynamic characteristics of two-phase flow in a heated capillary. Int J Multiphase Flow 26:1063–1093zbMATHCrossRefGoogle Scholar
  21. Peles YP, Yarin LP, Hetsroni G (2001) Steady and unsteady flow in a heated micro-channels. Int J Multiphase Flow 28:1589–1616Google Scholar
  22. Peng XF, Hu HY, Wang BX (1998) Boiling nucleation during liquid flow in micro-channels. Int J Heat Mass Transfer 41:191–196.3CrossRefGoogle Scholar
  23. Peng XF, Peterson GP (1996) Convective heat transfer and flow friction for water flow in micro-channel structure. Int J Heat Mass Transfer 39:2599–2608CrossRefGoogle Scholar
  24. Peng XF, Peterson GP (1995) The effect of thermofluid and geometrical parameters on convection of liquid through rectangular micro-channels. Int J Heat Mass Transfer 38:755–758CrossRefGoogle Scholar
  25. Peng XF, Peterson GP, Wang BX (1994) Heat transfer characteristics of water flowing through micro-channels. Exp Heat Transfer 7:249–264Google Scholar
  26. Peng XF, Tien Y, Lee DJ (2001) Bubble nucleation in micro-channels: statistical mechanics approach. Int J Multiphase Flow 44:2953–2964Google Scholar
  27. Peng XF, Wang BX (1993) Forced convection and flow boiling heat transfer for liquid flowing through micro-channels. Int J Heat Mass Transfer 14:3421–3427CrossRefGoogle Scholar
  28. Reid RC, Prausnitz JM, Poling BE (1987) The properties of gases and liquids. McGraw-Hill, BostonGoogle Scholar
  29. Sobhan CB, Garimella SV (2001) A comparative analysis of studies on heat transfer and fluid flow in micro-channels. Microscale Thermophys Eng 5:293–311CrossRefGoogle Scholar
  30. Tuckerman D (1984) Heat transfer microstructure for integrated circuits. Dissertation, Stanford University, StanfordGoogle Scholar
  31. Tuckerman D, Pease RFW (1981) High-performance heat sinking for VLSI. IEEE Electron Device Lett EDL-2:126–129CrossRefGoogle Scholar
  32. Vargaftic NB, Vinogradov YK, Yargin VS (1996) Handbook of physical properties of liquids and gases, pure substance and mixtures, 3rd augmented revised edn. Begel House, New YorkGoogle Scholar
  33. Wang BX, Peng XF (1994) Experimental investigation of liquid forced convection heat transfer through micro-channels. Int J Heat Mass Transfer 37:73–82CrossRefGoogle Scholar
  34. Wiesberg A, Bau HH, Zemel JN (1992) Analysis of micro-channels for integrated cooling. Int J Heat Mass Transfer 35:2465–2472CrossRefGoogle Scholar
  35. Wu PY, Little WA (1984) Measurement of the heat transfer characteristics of gas flow a fine channels heat exchangers used for microminiature refrigerators. Cryogenics 24:415–420CrossRefGoogle Scholar
  36. Yarin LP, Ekelchik LA, Hetsroni G (2002) Two-phase laminar flow in a heated micro-channels. Int J Multiphase Flow 28:1589–1616zbMATHCrossRefGoogle Scholar
  37. Yuan H, Qguz HN, Prosperreti A (1999) Growth and collapse of a vapor bubble in a small tube. Int J Heat Mass Transfer 42:3643–3657zbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Personalised recommendations