A mathematician from the University of the Philippines Diliman has developed a new model for understanding heat propagation through rough surfaces, potentially improving the design of cooling devices and heat-resistant infrastructures.Jake Avila from the UP Diliman College of Science Institute of Mathematics formulated the theory in collaboration with mathematicians from Italy.The model uses a method called homogenization to account for both microscopic and macroscopic properties of materials.
The new model addresses the complexities of heat transfer in materials with uneven surfaces, where traditional flat-surface models fall short. This breakthrough could have significant implications for various industries, including HVAC and construction.While the current application focuses on heat propagation, Avila noted that the theory has broader potential uses.
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