Effect of Evaporation and Condensation at Menisci on Apparent Thermal Slip

We capture the effects of evaporation and condensation at menisci on apparent thermal slip lengths for liquids sus- pended in the Cassie state on ridge-type structured surfaces. An isoflux boundary is prescribed at solid-liquid interfaces and a constant heat transfer coefficient or isothermal one at menisci. We assume that the gaps between ridges, where the vapor phase resides, are closed systems; therefore, the net rate of heat transfer across menisci is zero. The reduction in apparent thermal slip length due to evaporation and conden- sation relative to the limiting case of an adiabatic meniscus is quantified.