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  4. Refinement of Nusselt numbers in drying processes

Refinement of Nusselt numbers in drying processes

MMC.
2025;
Volume 12, Number 1
: pp. 275–282
Received: October 12, 2024
Revised: February 20, 2025
Accepted: February 28, 2025

Gayvas B., Shayner H., Voloshyn M., Hasko O., Rak N.  Refinement of Nusselt numbers in drying processes.  Mathematical Modeling and Computing. Vol. 12, No. 1, pp. 275–282 (2025)    

Authors:
  1. B. Gayvas
  2. H. Shayner
  3. M. Voloshyn
  4. O. Hasko
  5. N. Rak
1
Pidstryhach Institute for Applied Problems of Mechanics and Mathematics, National Academy of Sciences of Ukraine
2
Lviv Polytechnic National University
3
Lviv Polytechnic National University
4
Lviv Polytechnic National University
5
Lviv Polytechnic National University

It is proposed to refine the calculation of Nusselt numbers by considering the mass transfer coefficient in the evaporation zone, which is significantly larger than the molecular mass transfer coefficient of vapour.  This refinement aims to address the discrepancy between the elevated Nusselt criteria observed during drying and the criteria determined by the thickness of the boundary layer, which provides more accurate results.

Nusselt number
drying regimes
heat and mass transfer
Capillary-Porous Materials
molecular vapor transport
diffusion
thermodiffusion
convective drying
optimization
electromagnetic heating
moisture migration
numerical modeling
  1. Voronov V. G., Safarov V. A.  Automation of thermal processes in the production of construction materials. Kyiv, Budivelnik (1975), (in Ukrainian).
  2. Gayvas B., Markovych B., Dmytruk A., Havran M., Dmytruk V.  The methods of optimization and regulation of the convective drying process of materials in drying installations.  Mathematical Modeling and Computing.  11 (2), 546–554  (2024).
  3. Gayvas B. I., Markovych B. M., Dmytruk A. A., Havran M. V., Dmytruk V. A.  Numerical modeling of heat and mass transfer processes in a capillary-porous body during contact drying.  Mathematical Modeling and Computing.  10 (2), 387–399 (2023).
  4. Sokolovskyy Y., Drozd K., Samotii T., Boretska I.  Fractional-order modeling of heat and moisture transfer in anisotropic materials using a physics-informed neural network.  Materials.  17 (19), 4753 (2024).
  5. Decker Ž., Tretjakovas J., Drozd K., Rudzinskas V., Walczak M., Kilikevičius A., Matijosius J., Boretska I.  Material's strength analysis of the coupling node of axle of the truck trailer.  Materials.  16 (9), 3399 (2023).
  6. Luikov A. V.  Heat and Mass Transfer in Capillary Porous Bodies.  Pergamon Press, Oxford (1966).
  7. Nesterenko A. V.  Heat and mass transfer with liquid evaporation from a free surface.  Journal of Technical Physics.  24, 729 (1954).
  8. Gayvas B. I., Dmytruk V. A.  Investigation of drying the porous wood of a cylindrical shape.  Mathematical Modeling and Computing.  9 (2), 399–415 (2022).
  9. Gayvas B., Dmytruk V., Semerak M., Rymar T.  Solving Stefan's linear problem for drying cylindrical timber under quasi-averaged formulation.  Mathematical Modeling and Computing.  8 (2), 150–156 (2021).
  10. Mushtaev V. I.  Fundamental theoretical principles of convective drying and a refined method for calculating drying apparatus (Edited by Planovsky).  Moscow, MIKhM (1971).