We present a mathematical model for dropwise condensation (DWC) heat transfer on a surface with wettability gradient. We adapt well-established population balance model for DWC on inclined surfaces to model DWC on a surface with wettability gradient. In particular, our model takes into account the effect of wettability gradient and energy released during drop coalescence to determine the drop departure size. We validate our model with published experimental data of DWC heat flux and drop size distribution. Based on various experimental studies on drop motion, we also propose a mechanism that explains how the energy released during drop coalescence on a surface with wettability gradient and in a condensation environment aids drop motion. The mechanism correctly explains the shift of center of mass of two coalescing drops on a surface with wettability gradient toward the drop on high wetting region. Using the model, we analyze the effect of wettability gradient on the DWC heat flux. Our model predictions show that the optimal choice of wettability gradient is governed by differential variations in population density and heat transfer through a drop with change in wettability of the surface. We also demonstrate that contact angle at which there is maximum heat transfer through a drop varies with thickness of coating layer leading to change in optimal wettability gradient.
Mathematical Model for Dropwise Condensation on a Surface With Wettability Gradient
Indian Institute of Technology Delhi,
Hauz Khas 110016, New Delhi, India
Indian Institute of Technology Bhubaneswar,
Bhubaneswar 751013, Orrisa, India
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received May 5, 2017; final manuscript received January 4, 2018; published online April 6, 2018. Assoc. Editor: Debjyoti Banerjee.
Singh, M., Kondaraju, S., and Bahga, S. S. (April 6, 2018). "Mathematical Model for Dropwise Condensation on a Surface With Wettability Gradient." ASME. J. Heat Transfer. July 2018; 140(7): 071502. https://doi.org/10.1115/1.4039014
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