Abstract
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.
Access provided by Autonomous University of Puebla. Download to read the full chapter text
Chapter PDF
Keywords
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.
References
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 41:851–857
Bailey DK, Ameel TA, Warrington RO, Savoie TI (1995) Single-phase forced convection heat transfer in microgeometries: a review ASME. IECEC paper ES-396:301–310
Bejan A (1993) Heat transfer. Wiley, New York
Blake TD (1993) Dynamic contact angles and wetting kinetics. In: Berg JC (ed) Wettability. Dekker, New York, pp 251–309
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 37:321–332
Cox RG (1986) The dynamics of the spreading of liquids on a solid surface. Part 1: Viscous flows. J Fluid Mech 168:169–194
Dussan EBV (1979) On the spreading of liquids on solid surfaces: static and dynamic contact lines. Ann Rev Fluid Mech 11:371–400
Grigoriev VA, Zorin VM (eds) (1982) Heat mass transfer. Thermal experiment reference book. Energoizdat, Moscow (in Russian)
Hetsroni G, Yarin LP, Pogrebnyak E (2004) Onset of flow instability in a heated capillary tube. Int J Multiphase Flow 30:1421–1449
Hoffman R (1975) A study of the advancing interface. I. Interface shape in liquid gas system. J Colloid Interface Sci 50:228–241
Incropera FP (1999) Liquid cooling of electronic devices by single-phase convection. Wiley, New York
Khrustalev D, Faghri D (1996) Fluid flow effect in evaporation from liquid–vapor meniscus. J Heat Transfer 118:725–730
Kistler SF (1993) Hydrodynamics of wetting. In: Berg JC (ed) Wettability. Dekker, New York, pp 311–429
Korn GA, Korn TM (1968) Mathematical handbook. McGraw-Hill, Boston
Landau LD, Lifshitz EM (1959) Fluid mechanics, 2nd edn. Pergamon, London
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 21:838–856
Ngan CD, Dussan EBV (1982) On the nature of the dynamic contact angle: an experimental study. J Fluid Mech 118:27–40
Ory E, Yuan H, Prosperetti A (2000) Growth and collapse of vapor bubble in narrow tube. Phys Fluid 12:1268–1277
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 193–198
Peles YP, Yarin LP, Hetsroni G (2000) Thermodynamic characteristics of two-phase flow in a heated capillary. Int J Multiphase Flow 26:1063–1093
Peles YP, Yarin LP, Hetsroni G (2001) Steady and unsteady flow in a heated micro-channels. Int J Multiphase Flow 28:1589–1616
Peng XF, Hu HY, Wang BX (1998) Boiling nucleation during liquid flow in micro-channels. Int J Heat Mass Transfer 41:191–196.3
Peng XF, Peterson GP (1996) Convective heat transfer and flow friction for water flow in micro-channel structure. Int J Heat Mass Transfer 39:2599–2608
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 38:755–758
Peng XF, Peterson GP, Wang BX (1994) Heat transfer characteristics of water flowing through micro-channels. Exp Heat Transfer 7:249–264
Peng XF, Tien Y, Lee DJ (2001) Bubble nucleation in micro-channels: statistical mechanics approach. Int J Multiphase Flow 44:2953–2964
Peng XF, Wang BX (1993) Forced convection and flow boiling heat transfer for liquid flowing through micro-channels. Int J Heat Mass Transfer 14:3421–3427
Reid RC, Prausnitz JM, Poling BE (1987) The properties of gases and liquids. McGraw-Hill, Boston
Sobhan CB, Garimella SV (2001) A comparative analysis of studies on heat transfer and fluid flow in micro-channels. Microscale Thermophys Eng 5:293–311
Tuckerman D (1984) Heat transfer microstructure for integrated circuits. Dissertation, Stanford University, Stanford
Tuckerman D, Pease RFW (1981) High-performance heat sinking for VLSI. IEEE Electron Device Lett EDL-2:126–129
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 York
Wang BX, Peng XF (1994) Experimental investigation of liquid forced convection heat transfer through micro-channels. Int J Heat Mass Transfer 37:73–82
Wiesberg A, Bau HH, Zemel JN (1992) Analysis of micro-channels for integrated cooling. Int J Heat Mass Transfer 35:2465–2472
Wu PY, Little WA (1984) Measurement of the heat transfer characteristics of gas flow a fine channels heat exchangers used for microminiature refrigerators. Cryogenics 24:415–420
Yarin LP, Ekelchik LA, Hetsroni G (2002) Two-phase laminar flow in a heated micro-channels. Int J Multiphase Flow 28:1589–1616
Yuan H, Qguz HN, Prosperreti A (1999) Growth and collapse of a vapor bubble in a small tube. Int J Heat Mass Transfer 42:3643–3657
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
(2009). Onset of Flow Instability in a Heated Capillary. In: Fluid Flow, Heat Transfer and Boiling in Micro-Channels. Heat and Mass Transfer. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78755-6_11
Download citation
DOI: https://doi.org/10.1007/978-3-540-78755-6_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78754-9
Online ISBN: 978-3-540-78755-6
eBook Packages: EngineeringEngineering (R0)