Perturbed Energy Equation for Moderate Peclet Number

3 Perturbed Energy Equation for Moderate Peclet Number 

When the temperature Ts of the interface is constant, and wall heat flux is also constant, temperature oscillations are the result of the meniscus displacement along micro-channel axis. They are expressed as 

Neglecting the term containing product of oscillations, we obtain 

Convective heat transfer that is due to oscillations determines the second and the third terms on the left-hand side of Eq. (11.17). Using Eqs. (11.30) and (11.31), we estimate the values of these terms. For this, we consider the ratio of the third term to the second one 

The temperature distribution in a heated micro-channel is described by the following correlation (Peles et al. 2001). 

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The perturbed energy equation for moderate Peclet number has (at = 0) the following form ... 

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