Mathematical Computational Methods in Heat Transfer and Fluid Flow

Dear Colleagues,

Mathematical computational methods are essential tools for analyzing complex heat transfer and fluid flow phenomena. This complexity arises not only from the geometrical configuration of the systems but also from their mathematical models and nonlinearities. The solution methods encompass but are not limited to, finite differences, finite elements, spectral, meshless techniques, radial basis functions, boundary elements, homotopy, and physically informed neural networks. These techniques enable the simulation and understanding of intricate fluid dynamics and heat transfer processes. Applications span across diverse industries, including aerospace, automotive, energy, and biomedical engineering, impacting the optimization of thermal management systems, combustion efficiency enhancement, cooling system designs, and heat exchanger performance improvement. With the continuous growth of computational power and algorithm sophistication, researchers delve deeper into fluid flow and heat transfer intricacies. They explore multiscale and multiphysics simulations, uncertainty quantification, and optimization techniques. This Special Issue aims to gather research contributions focusing on novel mathematical computational methods, their applications, and their impact in terms of advancing the field of heat transfer and fluid flow.

Prof. Dr. Whady F. Florez
Guest Editor

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• mathematical computational methods
• heat transfer
• fluid flow
• finite elements
• meshless methods
• aerospace engineering
• energy systems
• biomedical engineering
• thermal management
• cooling systems
• heat exchangers
• multiscale simulations