Modification of dependent scattering criterion in dispersed particulate medium with the consideration of polydisperse size distributions: revisiting the independent/dependent scattering regime map
Thermal Science and Engineering Progress, cilt.75, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 75
- Basım Tarihi: 2026
- Doi Numarası: 10.1016/j.tsep.2026.104763
- Dergi Adı: Thermal Science and Engineering Progress
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC
- Anahtar Kelimeler: Dependent scattering, Independent scattering, Particle size distribution, Radiative property, Radiative transfer
- Kocaeli Üniversitesi Adresli: Evet
Özet
Spectral radiative transfer in dispersed particulate media is a topic of interest across multiple disciplines and can be significantly influenced by the microscopic dependent scattering effect (DSE). Nevertheless, most existing studies rely on the independent scattering assumption (ISA), which may introduce substantial errors in calculating mesoscopic and macroscopic radiative properties. Dependent scattering criteria have been developed to balance computational efficiency and accuracy. As research advances toward broader applicability and practical relevance, it is necessary to adequately consider the influence of polydisperse size distributions, which are ubiquitous in both natural and engineering systems. Therefore, it is crucial to propose a comprehensive dependent scattering criterion that accounts for polydisperse size distributions. Existing criterion parameters, such as the ratio of interparticle distance to particle radius (d*/r) and the ratio of clearance to wavelength (c/λ), fail to adequately describe polydisperse size distributions. To overcome this limitation, a physically motivated criterion parameter, defined as χn/(fv1/3), is introduced based on the relationship between the electromagnetic interaction length scale and the interparticle spacing scale. By combining twelve different particle size distributions described by Gaussian and log-normal distributions, an accurate dependent scattering criterion applicable to polydisperse size distributions is established. The dependent scattering criterion for polydisperse size distributions is given by χn/(fv1/3) > 19. Based on this criterion, the paper further refines the comprehensive independent/dependent scattering regime map by incorporating common practical applications.