Parameters Distribution Along the Micro-Channel

The momentum balance equation at the evaporation front has (neglecting the effect of viscous tension and changing surface tension along of meniscus) the following form  

The linear rate of evaporation (cylindrical micro-channel), may be estimated as follows  

The above-mentioned estimates show that at high power densities, characteristic for cooling systems of electronic devices, it is possible to neglect the effects due to curvature of the interface and present it as a flat front. 

We add to Eqs. (9.15-9.17) and (9.21-9.25) the total mass and energy balances to determine the vapor velocity and the temperature at the outlet cross-section 

Using the system (9.15-9.17) we determine the distribution of velocity, temperature and pressure within the liquid and vapor domains. We render the equations dimensionless by the following characteristic scales l,o for velocity, 7l,o for temperature, Pl,o for density, Pl,q for pressure, Pl,o Lo f force and L for length 

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Chapter 9 consists of the following in Sect. 9.2 the physical model of two-phase flow with evaporating meniscus is described. The calculation of the parameters distribution along the micro-channel is presented in Sect. 9.3. The stationary flow regimes are considered in Sect. 9.4. The data from the experimental facility and results related to two-phase flow in a heated capillary are described in Sect. 9.5. 

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