Temperature and concentration fields around two drops heated by electromagnetic radiation
https://doi.org/10.18384/2310-7251-2023-2-65-77
Abstract
Aim. Formulae for temperature and concentration fields around two evaporating identical aerosol drops in the electromagnetic radiation field are generalized to the case of two drops with arbitrary radii.
Methodology. Coefficients in expansions of temperature and concentration fields by spherical functions are considered as coordinates of vectors of an infinite-dimensional linear normalized space, which are found from boundary conditions by means of linear operators.
Results. Generalized formulae for temperature and concentration fields around two drops with arbitrary radii are obtained. Calculations are carried out using these formulae and graphs of temperature and concentration field profiles for two unequal drops for different distances between drop centers are given.
Research implications. The obtained theoretical formulae for temperature and concentration fields around two drops with arbitrary radii allow one to make simple algorithms for practical calculations.
About the Author
A. KhasanovRussian Federation
Anis S. Khasanov – Dr. Sci. (Phys.-Math.), Prof., Department of Higher Mathematics
Stremyannyi per. 36, Moscow 117997
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