Authors: Bogdana Gayvas, Veronika Dmytruk, Bogdan Markovych

Summary: This monograph explores the mathematical modeling of heat and moisture transfer processes in the drying of capillary-porous materials. It presents advanced models that account for the dynamics of moisture evaporation, convective and conductive drying, and the influence of external factors such as airflow, temperature gradients, and electric fields. Special attention is given to thermodynamic principles, diffusion mechanisms, and mechanical stresses that arise during drying, providing a comprehensive framework for understanding and optimizing drying technologies. A significant portion of the monograph is devoted to the development of nonstationary and quasi-stationary mathematical models that describe the behavior of moisture and temperature fields over time. These models incorporate the effects of phase transitions, electroosmotic forces, and capillary interactions, allowing for a detailed analysis of drying kinetics under various conditions. Numerical simulations and experimental validation are employed to assess the accuracy and applicability of the proposed approaches, offering valuable insights for both theoretical research and industrial implementation. The monograph also addresses the structural characteristics and mechanical properties of drying materials, highlighting the role of material deformation, shrinkage, and potential stress accumulation that may lead to cracking. Empirical criteria such as the Kirpichov, Nusselt, and Postnov numbers are examined as key parameters for evaluating drying efficiency and ensuring material integrity. Additionally, optimization strategies for industrial drying processes are discussed, incorporating mathematical and experimental methodologies to enhance energy efficiency and product quality.

Reading audience: By bridging the gap between fundamental research and industrial applications, this work provides engineers, researchers, and professionals in material science and heat transfer with a solid foundation for improving and innovating drying processes. The insights presented in this book contribute to the development of more efficient, sustainable, and cost-effective drying technologies, fostering advancements in industries such as wood processing, food production, pharmaceuticals, and materials engineering.

ISBN 978-617-8360-09-2

DOI: https://doi.org/10.15587/978-617-8360-09-2

Responsible institutions: Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of NAS of Ukraine

Published: Kharkiv : Technological Center

Other institutions: Lviv Polytechnic National University

Size in pages: 210