Modeling of Nanoparticles in a Gas Flow

J. Kaupužs (), Sh. E. Guseynov () and J. Rimšāns ()
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J. Kaupužs: University of Liepaja, Institute of Mathematical Sciences and Information Technologies
Sh. E. Guseynov: University of Liepaja, Institute of Mathematical Sciences and Information Technologies
J. Rimšāns: University of Liepaja, Institute of Mathematical Sciences and Information Technologies

A chapter in Traffic and Granular Flow '11, 2013, pp 325-329 from Springer

Abstract: Abstract A mathematical model is developed to describe the motion of solid particles of micro- and nano-size in a gas flow. The model is represented by certain integro-differential equation with appropriate initial and boundary conditions. A probabilistic interpretation of the model is provided and its solvability is studied. We find that unique solution exists at certain sufficient condition. In this case, the Fokker–Planck equation can be obtained from the integro–differential equation.

Keywords: Integro-differential Equations; Fokker-Planck Equation; Nano Size; Probabilistic Interpretation; Thermophoretic Force (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-39669-4_31

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DOI: 10.1007/978-3-642-39669-4_31

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